λ
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Atlas › Integer Profiles › Node 64,172,320

64,172,320

25 × 5 × 401077
Abundant Even Composite

64,172,320 factors as 2^5 × 5 × 401077. Its 24 positive divisors give a proper-divisor sum of 87,435,164, so this integer is abundant. The Collatz stopping time is 119 steps.

Prime Factor Structure

Factorization String 2^5 × 5 × 401077
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 151,607,484
Proper Divisor Sum 87,435,164
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #64172309 ← → #64172321

Radix Representation

Decimal 64172320
Binary 11110100110011000100100000 (26 bits)
Octal 0o364630440
Hexadecimal 0x3D33120

Divisor Catalog (24)

1 2 4 5 8 10 16 20 32 40 80 160 401,077 802,154 1,604,308 2,005,385 3,208,616 4,010,770 6,417,232 8,021,540 12,834,464 16,043,080 32,086,160 64,172,320

Collatz Trajectory (119 steps to reach 1)

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

64,172,320 32,086,160 16,043,080 8,021,540 4,010,770 2,005,385 6,016,156 3,008,078 1,504,039 4,512,118 2,256,059 6,768,178 3,384,089 10,152,268 5,076,134 2,538,067 7,614,202 3,807,101 11,421,304 5,710,652 2,855,326 1,427,663 4,282,990 2,141,495 6,424,486 3,212,243 9,636,730 4,818,365 14,455,096 7,227,548 3,613,774 1,806,887 5,420,662 2,710,331 8,130,994 4,065,497 12,196,492 6,098,246 3,049,123 9,147,370 4,573,685 13,721,056 6,860,528 3,430,264 1,715,132 857,566 428,783 1,286,350 643,175 1,929,526 964,763 2,894,290 1,447,145 4,341,436 2,170,718 1,085,359 3,256,078 1,628,039 4,884,118 2,442,059

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