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Atlas › Integer Profiles › Node 30,917,936

30,917,936

24 × 7 × 41 × 6733
Abundant Even Composite

30,917,936 factors as 2^4 × 7 × 41 × 6733. Its 40 positive divisors give a proper-divisor sum of 39,223,408, so this integer is abundant. The Collatz stopping time is 82 steps.

Prime Factor Structure

Factorization String 2^4 × 7 × 41 × 6733
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 70,141,344
Proper Divisor Sum 39,223,408
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #30917933 ← → #30917941

Radix Representation

Decimal 30917936
Binary 1110101111100010100110000 (25 bits)
Octal 0o165742460
Hexadecimal 0x1D7C530

Divisor Catalog (40)

1 2 4 7 8 14 16 28 41 56 82 112 164 287 328 574 656 1,148 2,296 4,592 6,733 13,466 26,932 47,131 53,864 94,262 107,728 188,524 276,053 377,048 552,106 754,096 1,104,212 1,932,371 2,208,424 3,864,742 4,416,848 7,729,484 15,458,968 30,917,936

Collatz Trajectory (82 steps to reach 1)

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

30,917,936 15,458,968 7,729,484 3,864,742 1,932,371 5,797,114 2,898,557 8,695,672 4,347,836 2,173,918 1,086,959 3,260,878 1,630,439 4,891,318 2,445,659 7,336,978 3,668,489 11,005,468 5,502,734 2,751,367 8,254,102 4,127,051 12,381,154 6,190,577 18,571,732 9,285,866 4,642,933 13,928,800 6,964,400 3,482,200 1,741,100 870,550 435,275 1,305,826 652,913 1,958,740 979,370 489,685 1,469,056 734,528 367,264 183,632 91,816 45,908 22,954 11,477 34,432 17,216 8,608 4,304 2,152 1,076 538 269 808 404 202 101 304 152

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