31,055,076

2² × 3⁴ × 13 × 73 × 101

31,055,076 factors as 2^2 × 3^4 × 13 × 73 × 101. Its 120 positive divisors give a proper-divisor sum of 58,449,108, so this integer is abundant. The Collatz stopping time is 157 steps.

Prime Factor Structure

Factorization String 2^2 × 3^4 × 13 × 73 × 101

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 120

Divisor Sum (σ) 89,504,184

Proper Divisor Sum 58,449,108

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #31055069 ← → #31055077

Radix Representation

Decimal	31055076
Binary	1110110011101110011100100 (25 bits)
Octal	0o166356344
Hexadecimal	0x1D9DCE4

Divisor Catalog (60 of 120)

1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 73 78 81 101 108 117 146 156 162 202 219 234 292 303 324 351 404 438 468 606 657 702 876 909 949 1,053 1,212 1,313 1,314 1,404 1,818 1,898 1,971 2,106 2,626 2,628 2,727 2,847 3,636 3,796 3,939 3,942 4,212 5,252 5,454

Collatz Trajectory (157 steps to reach 1)

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

31,055,076 15,527,538 7,763,769 23,291,308 11,645,654 5,822,827 17,468,482 8,734,241 26,202,724 13,101,362 6,550,681 19,652,044 9,826,022 4,913,011 14,739,034 7,369,517 22,108,552 11,054,276 5,527,138 2,763,569 8,290,708 4,145,354 2,072,677 6,218,032 3,109,016 1,554,508 777,254 388,627 1,165,882 582,941 1,748,824 874,412 437,206 218,603 655,810 327,905 983,716 491,858 245,929 737,788 368,894 184,447 553,342 276,671 830,014 415,007 1,245,022 622,511 1,867,534 933,767 2,801,302 1,400,651 4,201,954 2,100,977 6,302,932 3,151,466 1,575,733 4,727,200 2,363,600 1,181,800

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