31,216,445

5 × 13 × 61 × 7873

31,216,445 factors as 5 × 13 × 61 × 7873. Its 16 positive divisors give a proper-divisor sum of 9,791,347, so this integer is deficient. The Collatz stopping time is 188 steps.

Prime Factor Structure

Factorization String 5 × 13 × 61 × 7873

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 41,007,792

Proper Divisor Sum 9,791,347

Digit Sum / Digital Root 26 (Root: 8)

Adjacent Primes #31216397 ← → #31216447

Radix Representation

Decimal	31216445
Binary	1110111000101001100111101 (25 bits)
Octal	0o167051475
Hexadecimal	0x1DC533D

Divisor Catalog (16)

1 5 13 61 65 305 793 3,965 7,873 39,365 102,349 480,253 511,745 2,401,265 6,243,289 31,216,445

Collatz Trajectory (188 steps to reach 1)

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

31,216,445 93,649,336 46,824,668 23,412,334 11,706,167 35,118,502 17,559,251 52,677,754 26,338,877 79,016,632 39,508,316 19,754,158 9,877,079 29,631,238 14,815,619 44,446,858 22,223,429 66,670,288 33,335,144 16,667,572 8,333,786 4,166,893 12,500,680 6,250,340 3,125,170 1,562,585 4,687,756 2,343,878 1,171,939 3,515,818 1,757,909 5,273,728 2,636,864 1,318,432 659,216 329,608 164,804 82,402 41,201 123,604 61,802 30,901 92,704 46,352 23,176 11,588 5,794 2,897 8,692 4,346 2,173 6,520 3,260 1,630 815 2,446 1,223 3,670 1,835 5,506

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