λ
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Atlas › Integer Profiles › Node 64,177,840

64,177,840

24 × 5 × 59 × 13597
Abundant Even Composite

64,177,840 factors as 2^4 × 5 × 59 × 13597. Its 40 positive divisors give a proper-divisor sum of 87,575,840, so this integer is abundant. The Collatz stopping time is 277 steps.

Prime Factor Structure

Factorization String 2^4 × 5 × 59 × 13597
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 151,753,680
Proper Divisor Sum 87,575,840
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #64177807 ← → #64177847

Radix Representation

Decimal 64177840
Binary 11110100110100011010110000 (26 bits)
Octal 0o364643260
Hexadecimal 0x3D346B0

Divisor Catalog (40)

1 2 4 5 8 10 16 20 40 59 80 118 236 295 472 590 944 1,180 2,360 4,720 13,597 27,194 54,388 67,985 108,776 135,970 217,552 271,940 543,880 802,223 1,087,760 1,604,446 3,208,892 4,011,115 6,417,784 8,022,230 12,835,568 16,044,460 32,088,920 64,177,840

Collatz Trajectory (277 steps to reach 1)

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

64,177,840 32,088,920 16,044,460 8,022,230 4,011,115 12,033,346 6,016,673 18,050,020 9,025,010 4,512,505 13,537,516 6,768,758 3,384,379 10,153,138 5,076,569 15,229,708 7,614,854 3,807,427 11,422,282 5,711,141 17,133,424 8,566,712 4,283,356 2,141,678 1,070,839 3,212,518 1,606,259 4,818,778 2,409,389 7,228,168 3,614,084 1,807,042 903,521 2,710,564 1,355,282 677,641 2,032,924 1,016,462 508,231 1,524,694 762,347 2,287,042 1,143,521 3,430,564 1,715,282 857,641 2,572,924 1,286,462 643,231 1,929,694 964,847 2,894,542 1,447,271 4,341,814 2,170,907 6,512,722 3,256,361 9,769,084 4,884,542 2,442,271

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