82,476

2² × 3² × 29 × 79

82,476 factors as 2^2 × 3^2 × 29 × 79. Its 36 positive divisors give a proper-divisor sum of 135,924, so this integer is abundant. The Collatz stopping time is 213 steps.

Prime Factor Structure

Factorization String 2^2 × 3^2 × 29 × 79

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 36

Divisor Sum (σ) 218,400

Proper Divisor Sum 135,924

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #82471 ← → #82483

Radix Representation

Decimal	82476
Binary	10100001000101100 (17 bits)
Octal	0o241054
Hexadecimal	0x1422C

Divisor Catalog (36)

1 2 3 4 6 9 12 18 29 36 58 79 87 116 158 174 237 261 316 348 474 522 711 948 1,044 1,422 2,291 2,844 4,582 6,873 9,164 13,746 20,619 27,492 41,238 82,476

Collatz Trajectory (213 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

82,476 41,238 20,619 61,858 30,929 92,788 46,394 23,197 69,592 34,796 17,398 8,699 26,098 13,049 39,148 19,574 9,787 29,362 14,681 44,044 22,022 11,011 33,034 16,517 49,552 24,776 12,388 6,194 3,097 9,292 4,646 2,323 6,970 3,485 10,456 5,228 2,614 1,307 3,922 1,961 5,884 2,942 1,471 4,414 2,207 6,622 3,311 9,934 4,967 14,902 7,451 22,354 11,177 33,532 16,766 8,383 25,150 12,575 37,726 18,863

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