436,902

2 × 3 × 72817

436,902 factors as 2 × 3 × 72817. Its 8 positive divisors give a proper-divisor sum of 436,914, so this integer is abundant. The Collatz stopping time is 293 steps.

Prime Factor Structure

Factorization String 2 × 3 × 72817

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 873,816

Proper Divisor Sum 436,914

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #436889 ← → #436913

Radix Representation

Decimal	436902
Binary	1101010101010100110 (19 bits)
Octal	0o1525246
Hexadecimal	0x6AAA6

Divisor Catalog (8)

1 2 3 6 72,817 145,634 218,451 436,902

Collatz Trajectory (293 steps to reach 1)

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

436,902 218,451 655,354 327,677 983,032 491,516 245,758 122,879 368,638 184,319 552,958 276,479 829,438 414,719 1,244,158 622,079 1,866,238 933,119 2,799,358 1,399,679 4,199,038 2,099,519 6,298,558 3,149,279 9,447,838 4,723,919 14,171,758 7,085,879 21,257,638 10,628,819 31,886,458 15,943,229 47,829,688 23,914,844 11,957,422 5,978,711 17,936,134 8,968,067 26,904,202 13,452,101 40,356,304 20,178,152 10,089,076 5,044,538 2,522,269 7,566,808 3,783,404 1,891,702 945,851 2,837,554 1,418,777 4,256,332 2,128,166 1,064,083 3,192,250 1,596,125 4,788,376 2,394,188 1,197,094 598,547

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