15,642,416

2⁴ × 37 × 26423

15,642,416 factors as 2^4 × 37 × 26423. Its 20 positive divisors give a proper-divisor sum of 15,485,056, so this integer is deficient. The Collatz stopping time is 324 steps.

Prime Factor Structure

Factorization String 2^4 × 37 × 26423

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 20

Divisor Sum (σ) 31,127,472

Proper Divisor Sum 15,485,056

Digit Sum / Digital Root 29 (Root: 2)

Adjacent Primes #15642409 ← → #15642421

Radix Representation

Decimal	15642416
Binary	111011101010111100110000 (24 bits)
Octal	0o73527460
Hexadecimal	0xEEAF30

Divisor Catalog (20)

Collatz Trajectory (324 steps to reach 1)

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

15,642,416 7,821,208 3,910,604 1,955,302 977,651 2,932,954 1,466,477 4,399,432 2,199,716 1,099,858 549,929 1,649,788 824,894 412,447 1,237,342 618,671 1,856,014 928,007 2,784,022 1,392,011 4,176,034 2,088,017 6,264,052 3,132,026 1,566,013 4,698,040 2,349,020 1,174,510 587,255 1,761,766 880,883 2,642,650 1,321,325 3,963,976 1,981,988 990,994 495,497 1,486,492 743,246 371,623 1,114,870 557,435 1,672,306 836,153 2,508,460 1,254,230 627,115 1,881,346 940,673 2,822,020 1,411,010 705,505 2,116,516 1,058,258 529,129 1,587,388 793,694 396,847 1,190,542 595,271

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