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Atlas › Integer Profiles › Node 31,644,368

31,644,368

24 × 7 × 67 × 4217
Abundant Even Composite

31,644,368 factors as 2^4 × 7 × 67 × 4217. Its 40 positive divisors give a proper-divisor sum of 39,487,984, so this integer is abundant. The Collatz stopping time is 95 steps.

Prime Factor Structure

Factorization String 2^4 × 7 × 67 × 4217
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 71,132,352
Proper Divisor Sum 39,487,984
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #31644359 ← → #31644373

Radix Representation

Decimal 31644368
Binary 1111000101101101011010000 (25 bits)
Octal 0o170555320
Hexadecimal 0x1E2DAD0

Divisor Catalog (40)

1 2 4 7 8 14 16 28 56 67 112 134 268 469 536 938 1,072 1,876 3,752 4,217 7,504 8,434 16,868 29,519 33,736 59,038 67,472 118,076 236,152 282,539 472,304 565,078 1,130,156 1,977,773 2,260,312 3,955,546 4,520,624 7,911,092 15,822,184 31,644,368

Collatz Trajectory (95 steps to reach 1)

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

31,644,368 15,822,184 7,911,092 3,955,546 1,977,773 5,933,320 2,966,660 1,483,330 741,665 2,224,996 1,112,498 556,249 1,668,748 834,374 417,187 1,251,562 625,781 1,877,344 938,672 469,336 234,668 117,334 58,667 176,002 88,001 264,004 132,002 66,001 198,004 99,002 49,501 148,504 74,252 37,126 18,563 55,690 27,845 83,536 41,768 20,884 10,442 5,221 15,664 7,832 3,916 1,958 979 2,938 1,469 4,408 2,204 1,102 551 1,654 827 2,482 1,241 3,724 1,862 931

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