A pair of numbers m and n such that σ^*(m) = σ^*(n) = m + n, where σ^*(n) is the unitary divisor function. Hagis and García give 82 such pairs. The first few are (114, 126), (1140, 1260), (18018, 22302), (32130, 40446), ... (OEIS A002952 and A002953; Pedersen). On Jan. 30, 2004, Y. Kohmoto discovered the largest known unitary amicable pair, where each member has 317 digits. Kohmoto calls a unitary amicable pair whose members are squareful a proper unitary amicable pair.

amicable pair | unitary aliquot sequence | unitary divisor | unitary divisor function