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Atlas › Integer Profiles › Node 52,377,712

52,377,712

24 × 29 × 157 × 719
Abundant Even Composite

52,377,712 factors as 2^4 × 29 × 157 × 719. Its 40 positive divisors give a proper-divisor sum of 53,419,088, so this integer is abundant. The Collatz stopping time is 212 steps.

Prime Factor Structure

Factorization String 2^4 × 29 × 157 × 719
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 105,796,800
Proper Divisor Sum 53,419,088
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #52377709 ← → #52377749

Radix Representation

Decimal 52377712
Binary 11000111110011100001110000 (26 bits)
Octal 0o307634160
Hexadecimal 0x31F3870

Divisor Catalog (40)

1 2 4 8 16 29 58 116 157 232 314 464 628 719 1,256 1,438 2,512 2,876 4,553 5,752 9,106 11,504 18,212 20,851 36,424 41,702 72,848 83,404 112,883 166,808 225,766 333,616 451,532 903,064 1,806,128 3,273,607 6,547,214 13,094,428 26,188,856 52,377,712

Collatz Trajectory (212 steps to reach 1)

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

52,377,712 26,188,856 13,094,428 6,547,214 3,273,607 9,820,822 4,910,411 14,731,234 7,365,617 22,096,852 11,048,426 5,524,213 16,572,640 8,286,320 4,143,160 2,071,580 1,035,790 517,895 1,553,686 776,843 2,330,530 1,165,265 3,495,796 1,747,898 873,949 2,621,848 1,310,924 655,462 327,731 983,194 491,597 1,474,792 737,396 368,698 184,349 553,048 276,524 138,262 69,131 207,394 103,697 311,092 155,546 77,773 233,320 116,660 58,330 29,165 87,496 43,748 21,874 10,937 32,812 16,406 8,203 24,610 12,305 36,916 18,458 9,229

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