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Atlas › Integer Profiles › Node 36,960,704

36,960,704

26 × 11 × 52501
Abundant Even Composite

36,960,704 factors as 2^6 × 11 × 52501. Its 28 positive divisors give a proper-divisor sum of 43,052,344, so this integer is abundant. The Collatz stopping time is 165 steps.

Prime Factor Structure

Factorization String 2^6 × 11 × 52501
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 28
Divisor Sum (σ) 80,013,048
Proper Divisor Sum 43,052,344
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #36960697 ← → #36960797

Radix Representation

Decimal 36960704
Binary 10001100111111100111000000 (26 bits)
Octal 0o214774700
Hexadecimal 0x233F9C0

Divisor Catalog (28)

1 2 4 8 11 16 22 32 44 64 88 176 352 704 52,501 105,002 210,004 420,008 577,511 840,016 1,155,022 1,680,032 2,310,044 3,360,064 4,620,088 9,240,176 18,480,352 36,960,704

Collatz Trajectory (165 steps to reach 1)

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

36,960,704 18,480,352 9,240,176 4,620,088 2,310,044 1,155,022 577,511 1,732,534 866,267 2,598,802 1,299,401 3,898,204 1,949,102 974,551 2,923,654 1,461,827 4,385,482 2,192,741 6,578,224 3,289,112 1,644,556 822,278 411,139 1,233,418 616,709 1,850,128 925,064 462,532 231,266 115,633 346,900 173,450 86,725 260,176 130,088 65,044 32,522 16,261 48,784 24,392 12,196 6,098 3,049 9,148 4,574 2,287 6,862 3,431 10,294 5,147 15,442 7,721 23,164 11,582 5,791 17,374 8,687 26,062 13,031 39,094

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