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Atlas › Integer Profiles › Node 37,814,502

37,814,502

2 × 3 × 11 × 233 × 2459
Abundant Even Composite

37,814,502 factors as 2 × 3 × 11 × 233 × 2459. Its 32 positive divisors give a proper-divisor sum of 45,077,658, so this integer is abundant. The Collatz stopping time is 134 steps.

Prime Factor Structure

Factorization String 2 × 3 × 11 × 233 × 2459
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 82,892,160
Proper Divisor Sum 45,077,658
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #37814479 ← → #37814519

Radix Representation

Decimal 37814502
Binary 10010000010000000011100110 (26 bits)
Octal 0o220200346
Hexadecimal 0x24100E6

Divisor Catalog (32)

1 2 3 6 11 22 33 66 233 466 699 1,398 2,459 2,563 4,918 5,126 7,377 7,689 14,754 15,378 27,049 54,098 81,147 162,294 572,947 1,145,894 1,718,841 3,437,682 6,302,417 12,604,834 18,907,251 37,814,502

Collatz Trajectory (134 steps to reach 1)

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

37,814,502 18,907,251 56,721,754 28,360,877 85,082,632 42,541,316 21,270,658 10,635,329 31,905,988 15,952,994 7,976,497 23,929,492 11,964,746 5,982,373 17,947,120 8,973,560 4,486,780 2,243,390 1,121,695 3,365,086 1,682,543 5,047,630 2,523,815 7,571,446 3,785,723 11,357,170 5,678,585 17,035,756 8,517,878 4,258,939 12,776,818 6,388,409 19,165,228 9,582,614 4,791,307 14,373,922 7,186,961 21,560,884 10,780,442 5,390,221 16,170,664 8,085,332 4,042,666 2,021,333 6,064,000 3,032,000 1,516,000 758,000 379,000 189,500 94,750 47,375 142,126 71,063 213,190 106,595 319,786 159,893 479,680 239,840

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