40,002,586

2 × 13 × 31² × 1601

40,002,586 factors as 2 × 13 × 31^2 × 1601. Its 24 positive divisors give a proper-divisor sum of 26,810,426, so this integer is deficient. The Collatz stopping time is 284 steps.

Prime Factor Structure

Factorization String 2 × 13 × 31^2 × 1601

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 66,813,012

Proper Divisor Sum 26,810,426

Digit Sum / Digital Root 25 (Root: 7)

Adjacent Primes #40002583 ← → #40002647

Radix Representation

Decimal	40002586
Binary	10011000100110010000011010 (26 bits)
Octal	0o230462032
Hexadecimal	0x262641A

Divisor Catalog (24)

Collatz Trajectory (284 steps to reach 1)

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

40,002,586 20,001,293 60,003,880 30,001,940 15,000,970 7,500,485 22,501,456 11,250,728 5,625,364 2,812,682 1,406,341 4,219,024 2,109,512 1,054,756 527,378 263,689 791,068 395,534 197,767 593,302 296,651 889,954 444,977 1,334,932 667,466 333,733 1,001,200 500,600 250,300 125,150 62,575 187,726 93,863 281,590 140,795 422,386 211,193 633,580 316,790 158,395 475,186 237,593 712,780 356,390 178,195 534,586 267,293 801,880 400,940 200,470 100,235 300,706 150,353 451,060 225,530 112,765 338,296 169,148 84,574 42,287

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