3,837,366

2 × 3² × 13 × 23² × 31

3,837,366 factors as 2 × 3^2 × 13 × 23^2 × 31. Its 72 positive divisors give a proper-divisor sum of 5,824,650, so this integer is abundant. The Collatz stopping time is 71 steps.

Prime Factor Structure

Factorization String 2 × 3^2 × 13 × 23^2 × 31

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 72

Divisor Sum (σ) 9,662,016

Proper Divisor Sum 5,824,650

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #3837349 ← → #3837371

Radix Representation

Decimal	3837366
Binary	1110101000110110110110 (22 bits)
Octal	0o16506666
Hexadecimal	0x3A8DB6

Divisor Catalog (60 of 72)

1 2 3 6 9 13 18 23 26 31 39 46 62 69 78 93 117 138 186 207 234 279 299 403 414 529 558 598 713 806 897 1,058 1,209 1,426 1,587 1,794 2,139 2,418 2,691 3,174 3,627 4,278 4,761 5,382 6,417 6,877 7,254 9,269 9,522 12,834 13,754 16,399 18,538 20,631 27,807 32,798 41,262 49,197 55,614 61,893

Collatz Trajectory (71 steps to reach 1)

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

3,837,366 1,918,683 5,756,050 2,878,025 8,634,076 4,317,038 2,158,519 6,475,558 3,237,779 9,713,338 4,856,669 14,570,008 7,285,004 3,642,502 1,821,251 5,463,754 2,731,877 8,195,632 4,097,816 2,048,908 1,024,454 512,227 1,536,682 768,341 2,305,024 1,152,512 576,256 288,128 144,064 72,032 36,016 18,008 9,004 4,502 2,251 6,754 3,377 10,132 5,066 2,533 7,600 3,800 1,900 950 475 1,426 713 2,140 1,070 535 1,606 803 2,410 1,205 3,616 1,808 904 452 226 113

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