15,436,468

2² × 29 × 133073

15,436,468 factors as 2^2 × 29 × 133073. Its 12 positive divisors give a proper-divisor sum of 12,509,072, so this integer is deficient. The Collatz stopping time is 73 steps.

Prime Factor Structure

Factorization String 2^2 × 29 × 133073

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 27,945,540

Proper Divisor Sum 12,509,072

Digit Sum / Digital Root 37 (Root: 1)

Adjacent Primes #15436457 ← → #15436513

Radix Representation

Decimal	15436468
Binary	111010111000101010110100 (24 bits)
Octal	0o72705264
Hexadecimal	0xEB8AB4

Divisor Catalog (12)

1 2 4 29 58 116 133,073 266,146 532,292 3,859,117 7,718,234 15,436,468

Collatz Trajectory (73 steps to reach 1)

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

15,436,468 7,718,234 3,859,117 11,577,352 5,788,676 2,894,338 1,447,169 4,341,508 2,170,754 1,085,377 3,256,132 1,628,066 814,033 2,442,100 1,221,050 610,525 1,831,576 915,788 457,894 228,947 686,842 343,421 1,030,264 515,132 257,566 128,783 386,350 193,175 579,526 289,763 869,290 434,645 1,303,936 651,968 325,984 162,992 81,496 40,748 20,374 10,187 30,562 15,281 45,844 22,922 11,461 34,384 17,192 8,596 4,298 2,149 6,448 3,224 1,612 806 403 1,210 605 1,816 908 454

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