31,084,438

2 × 7 × 11 × 201847

31,084,438 factors as 2 × 7 × 11 × 201847. Its 16 positive divisors give a proper-divisor sum of 27,047,786, so this integer is deficient. The Collatz stopping time is 100 steps.

Prime Factor Structure

Factorization String 2 × 7 × 11 × 201847

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 58,132,224

Proper Divisor Sum 27,047,786

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #31084429 ← → #31084457

Radix Representation

Decimal	31084438
Binary	1110110100100111110010110 (25 bits)
Octal	0o166447626
Hexadecimal	0x1DA4F96

Divisor Catalog (16)

1 2 7 11 14 22 77 154 201,847 403,694 1,412,929 2,220,317 2,825,858 4,440,634 15,542,219 31,084,438

Collatz Trajectory (100 steps to reach 1)

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

31,084,438 15,542,219 46,626,658 23,313,329 69,939,988 34,969,994 17,484,997 52,454,992 26,227,496 13,113,748 6,556,874 3,278,437 9,835,312 4,917,656 2,458,828 1,229,414 614,707 1,844,122 922,061 2,766,184 1,383,092 691,546 345,773 1,037,320 518,660 259,330 129,665 388,996 194,498 97,249 291,748 145,874 72,937 218,812 109,406 54,703 164,110 82,055 246,166 123,083 369,250 184,625 553,876 276,938 138,469 415,408 207,704 103,852 51,926 25,963 77,890 38,945 116,836 58,418 29,209 87,628 43,814 21,907 65,722 32,861

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