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Atlas › Integer Profiles › Node 36,925,168

36,925,168

24 × 7 × 439 × 751
Abundant Even Composite

36,925,168 factors as 2^4 × 7 × 439 × 751. Its 40 positive divisors give a proper-divisor sum of 45,133,072, so this integer is abundant. The Collatz stopping time is 77 steps.

Prime Factor Structure

Factorization String 2^4 × 7 × 439 × 751
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 82,058,240
Proper Divisor Sum 45,133,072
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #36925159 ← → #36925169

Radix Representation

Decimal 36925168
Binary 10001100110110111011110000 (26 bits)
Octal 0o214667360
Hexadecimal 0x2336EF0

Divisor Catalog (40)

1 2 4 7 8 14 16 28 56 112 439 751 878 1,502 1,756 3,004 3,073 3,512 5,257 6,008 6,146 7,024 10,514 12,016 12,292 21,028 24,584 42,056 49,168 84,112 329,689 659,378 1,318,756 2,307,823 2,637,512 4,615,646 5,275,024 9,231,292 18,462,584 36,925,168

Collatz Trajectory (77 steps to reach 1)

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

36,925,168 18,462,584 9,231,292 4,615,646 2,307,823 6,923,470 3,461,735 10,385,206 5,192,603 15,577,810 7,788,905 23,366,716 11,683,358 5,841,679 17,525,038 8,762,519 26,287,558 13,143,779 39,431,338 19,715,669 59,147,008 29,573,504 14,786,752 7,393,376 3,696,688 1,848,344 924,172 462,086 231,043 693,130 346,565 1,039,696 519,848 259,924 129,962 64,981 194,944 97,472 48,736 24,368 12,184 6,092 3,046 1,523 4,570 2,285 6,856 3,428 1,714 857 2,572 1,286 643 1,930 965 2,896 1,448 724 362 181

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