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14,466,528

25 × 32 × 50231
Abundant Even Composite

14,466,528 factors as 2^5 × 3^2 × 50231. Its 36 positive divisors give a proper-divisor sum of 26,673,480, so this integer is abundant. The Collatz stopping time is 117 steps.

Prime Factor Structure

Factorization String 2^5 × 3^2 × 50231
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 41,140,008
Proper Divisor Sum 26,673,480
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #14466527 ← → #14466539

Radix Representation

Decimal 14466528
Binary 110111001011110111100000 (24 bits)
Octal 0o67136740
Hexadecimal 0xDCBDE0

Divisor Catalog (36)

1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 50,231 100,462 150,693 200,924 301,386 401,848 452,079 602,772 803,696 904,158 1,205,544 1,607,392 1,808,316 2,411,088 3,616,632 4,822,176 7,233,264 14,466,528

Collatz Trajectory (117 steps to reach 1)

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

14,466,528 7,233,264 3,616,632 1,808,316 904,158 452,079 1,356,238 678,119 2,034,358 1,017,179 3,051,538 1,525,769 4,577,308 2,288,654 1,144,327 3,432,982 1,716,491 5,149,474 2,574,737 7,724,212 3,862,106 1,931,053 5,793,160 2,896,580 1,448,290 724,145 2,172,436 1,086,218 543,109 1,629,328 814,664 407,332 203,666 101,833 305,500 152,750 76,375 229,126 114,563 343,690 171,845 515,536 257,768 128,884 64,442 32,221 96,664 48,332 24,166 12,083 36,250 18,125 54,376 27,188 13,594 6,797 20,392 10,196 5,098 2,549

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