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Atlas › Integer Profiles › Node 37,558,136

37,558,136

23 × 7 × 11 × 19 × 3209
Abundant Even Composite

37,558,136 factors as 2^3 × 7 × 11 × 19 × 3209. Its 64 positive divisors give a proper-divisor sum of 54,889,864, so this integer is abundant. The Collatz stopping time is 134 steps.

Prime Factor Structure

Factorization String 2^3 × 7 × 11 × 19 × 3209
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 92,448,000
Proper Divisor Sum 54,889,864
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #37558121 ← → #37558159

Radix Representation

Decimal 37558136
Binary 10001111010001011101111000 (26 bits)
Octal 0o217213570
Hexadecimal 0x23D1778

Divisor Catalog (60 of 64)

1 2 4 7 8 11 14 19 22 28 38 44 56 76 77 88 133 152 154 209 266 308 418 532 616 836 1,064 1,463 1,672 2,926 3,209 5,852 6,418 11,704 12,836 22,463 25,672 35,299 44,926 60,971 70,598 89,852 121,942 141,196 179,704 243,884 247,093 282,392 426,797 487,768 494,186 670,681 853,594 988,372 1,341,362 1,707,188 1,976,744 2,682,724 3,414,376 4,694,767

Collatz Trajectory (134 steps to reach 1)

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

37,558,136 18,779,068 9,389,534 4,694,767 14,084,302 7,042,151 21,126,454 10,563,227 31,689,682 15,844,841 47,534,524 23,767,262 11,883,631 35,650,894 17,825,447 53,476,342 26,738,171 80,214,514 40,107,257 120,321,772 60,160,886 30,080,443 90,241,330 45,120,665 135,361,996 67,680,998 33,840,499 101,521,498 50,760,749 152,282,248 76,141,124 38,070,562 19,035,281 57,105,844 28,552,922 14,276,461 42,829,384 21,414,692 10,707,346 5,353,673 16,061,020 8,030,510 4,015,255 12,045,766 6,022,883 18,068,650 9,034,325 27,102,976 13,551,488 6,775,744 3,387,872 1,693,936 846,968 423,484 211,742 105,871 317,614 158,807 476,422 238,211

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