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Atlas › Integer Profiles › Node 59,633,448

59,633,448

23 × 3 × 7 × 354961
Abundant Even Composite

59,633,448 factors as 2^3 × 3 × 7 × 354961. Its 32 positive divisors give a proper-divisor sum of 110,748,312, so this integer is abundant. The Collatz stopping time is 88 steps.

Prime Factor Structure

Factorization String 2^3 × 3 × 7 × 354961
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 170,381,760
Proper Divisor Sum 110,748,312
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #59633443 ← → #59633449

Radix Representation

Decimal 59633448
Binary 11100011011110111100101000 (26 bits)
Octal 0o343367450
Hexadecimal 0x38DEF28

Divisor Catalog (32)

1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 354,961 709,922 1,064,883 1,419,844 2,129,766 2,484,727 2,839,688 4,259,532 4,969,454 7,454,181 8,519,064 9,938,908 14,908,362 19,877,816 29,816,724 59,633,448

Collatz Trajectory (88 steps to reach 1)

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

59,633,448 29,816,724 14,908,362 7,454,181 22,362,544 11,181,272 5,590,636 2,795,318 1,397,659 4,192,978 2,096,489 6,289,468 3,144,734 1,572,367 4,717,102 2,358,551 7,075,654 3,537,827 10,613,482 5,306,741 15,920,224 7,960,112 3,980,056 1,990,028 995,014 497,507 1,492,522 746,261 2,238,784 1,119,392 559,696 279,848 139,924 69,962 34,981 104,944 52,472 26,236 13,118 6,559 19,678 9,839 29,518 14,759 44,278 22,139 66,418 33,209 99,628 49,814 24,907 74,722 37,361 112,084 56,042 28,021 84,064 42,032 21,016 10,508

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