31,052,016

2⁴ × 3² × 191 × 1129

31,052,016 factors as 2^4 × 3^2 × 191 × 1129. Its 60 positive divisors give a proper-divisor sum of 56,382,864, so this integer is abundant. The Collatz stopping time is 144 steps.

Prime Factor Structure

Factorization String 2^4 × 3^2 × 191 × 1129

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 60

Divisor Sum (σ) 87,434,880

Proper Divisor Sum 56,382,864

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #31051973 ← → #31052017

Radix Representation

Decimal	31052016
Binary	1110110011101000011110000 (25 bits)
Octal	0o166350360
Hexadecimal	0x1D9D0F0

Divisor Catalog (60)

1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 191 382 573 764 1,129 1,146 1,528 1,719 2,258 2,292 3,056 3,387 3,438 4,516 4,584 6,774 6,876 9,032 9,168 10,161 13,548 13,752 18,064 20,322 27,096 27,504 40,644 54,192 81,288 162,576 215,639 431,278 646,917 862,556 1,293,834 1,725,112 1,940,751 2,587,668 3,450,224 3,881,502 5,175,336 7,763,004 10,350,672 15,526,008 31,052,016

Collatz Trajectory (144 steps to reach 1)

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

31,052,016 15,526,008 7,763,004 3,881,502 1,940,751 5,822,254 2,911,127 8,733,382 4,366,691 13,100,074 6,550,037 19,650,112 9,825,056 4,912,528 2,456,264 1,228,132 614,066 307,033 921,100 460,550 230,275 690,826 345,413 1,036,240 518,120 259,060 129,530 64,765 194,296 97,148 48,574 24,287 72,862 36,431 109,294 54,647 163,942 81,971 245,914 122,957 368,872 184,436 92,218 46,109 138,328 69,164 34,582 17,291 51,874 25,937 77,812 38,906 19,453 58,360 29,180 14,590 7,295 21,886 10,943 32,830

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