3,131,940

2² × 3 × 5 × 7 × 7457

3,131,940 has digital root 3. The neighboring primes are 3131917 and 3131951; its proper-divisor sum differs from the starting integer by 3,759,672.

Prime Factor Structure

Factorization String 2^2 × 3 × 5 × 7 × 7457

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 10,023,552

Proper Divisor Sum 6,891,612

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #3131917 ← → #3131951

Radix Representation

Decimal	3131940
Binary	1011111100101000100100 (22 bits)
Octal	0o13745044
Hexadecimal	0x2FCA24

Divisor Catalog (48)

1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 420 7,457 14,914 22,371 29,828 37,285 44,742 52,199 74,570 89,484 104,398 111,855 149,140 156,597 208,796 223,710 260,995 313,194 447,420 521,990 626,388 782,985 1,043,980 1,565,970 3,131,940

Collatz Trajectory (177 steps to reach 1)

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

3,131,940 1,565,970 782,985 2,348,956 1,174,478 587,239 1,761,718 880,859 2,642,578 1,321,289 3,963,868 1,981,934 990,967 2,972,902 1,486,451 4,459,354 2,229,677 6,689,032 3,344,516 1,672,258 836,129 2,508,388 1,254,194 627,097 1,881,292 940,646 470,323 1,410,970 705,485 2,116,456 1,058,228 529,114 264,557 793,672 396,836 198,418 99,209 297,628 148,814 74,407 223,222 111,611 334,834 167,417 502,252 251,126 125,563 376,690 188,345 565,036 282,518 141,259 423,778 211,889 635,668 317,834 158,917 476,752 238,376 119,188

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