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Atlas › Integer Profiles › Node 31,521,915

31,521,915

32 × 5 × 113 × 6199
Deficient Odd Composite

31,521,915 factors as 3^2 × 5 × 113 × 6199. Its 24 positive divisors give a proper-divisor sum of 23,608,485, so this integer is deficient. The Collatz stopping time is 188 steps.

Prime Factor Structure

Factorization String 3^2 × 5 × 113 × 6199
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 55,130,400
Proper Divisor Sum 23,608,485
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #31521887 ← → #31521953

Radix Representation

Decimal 31521915
Binary 1111000001111110001111011 (25 bits)
Octal 0o170176173
Hexadecimal 0x1E0FC7B

Divisor Catalog (24)

1 3 5 9 15 45 113 339 565 1,017 1,695 5,085 6,199 18,597 30,995 55,791 92,985 278,955 700,487 2,101,461 3,502,435 6,304,383 10,507,305 31,521,915

Collatz Trajectory (188 steps to reach 1)

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

31,521,915 94,565,746 47,282,873 141,848,620 70,924,310 35,462,155 106,386,466 53,193,233 159,579,700 79,789,850 39,894,925 119,684,776 59,842,388 29,921,194 14,960,597 44,881,792 22,440,896 11,220,448 5,610,224 2,805,112 1,402,556 701,278 350,639 1,051,918 525,959 1,577,878 788,939 2,366,818 1,183,409 3,550,228 1,775,114 887,557 2,662,672 1,331,336 665,668 332,834 166,417 499,252 249,626 124,813 374,440 187,220 93,610 46,805 140,416 70,208 35,104 17,552 8,776 4,388 2,194 1,097 3,292 1,646 823 2,470 1,235 3,706 1,853 5,560

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