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Atlas › Integer Profiles › Node 95,138,596

95,138,596

22 × 73 × 17 × 4079
Abundant Even Composite

95,138,596 factors as 2^2 × 7^3 × 17 × 4079. Its 48 positive divisors give a proper-divisor sum of 110,493,404, so this integer is abundant. The Collatz stopping time is 218 steps.

Prime Factor Structure

Factorization String 2^2 × 7^3 × 17 × 4079
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 205,632,000
Proper Divisor Sum 110,493,404
Digit Sum / Digital Root 46 (Root: 1)
Adjacent Primes #95138591 ← → #95138611

Radix Representation

Decimal 95138596
Binary 101101010111011001100100100 (27 bits)
Octal 0o552731444
Hexadecimal 0x5ABB324

Divisor Catalog (48)

1 2 4 7 14 17 28 34 49 68 98 119 196 238 343 476 686 833 1,372 1,666 3,332 4,079 5,831 8,158 11,662 16,316 23,324 28,553 57,106 69,343 114,212 138,686 199,871 277,372 399,742 485,401 799,484 970,802 1,399,097 1,941,604 2,798,194 3,397,807 5,596,388 6,795,614 13,591,228 23,784,649 47,569,298 95,138,596

Collatz Trajectory (218 steps to reach 1)

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

95,138,596 47,569,298 23,784,649 71,353,948 35,676,974 17,838,487 53,515,462 26,757,731 80,273,194 40,136,597 120,409,792 60,204,896 30,102,448 15,051,224 7,525,612 3,762,806 1,881,403 5,644,210 2,822,105 8,466,316 4,233,158 2,116,579 6,349,738 3,174,869 9,524,608 4,762,304 2,381,152 1,190,576 595,288 297,644 148,822 74,411 223,234 111,617 334,852 167,426 83,713 251,140 125,570 62,785 188,356 94,178 47,089 141,268 70,634 35,317 105,952 52,976 26,488 13,244 6,622 3,311 9,934 4,967 14,902 7,451 22,354 11,177 33,532 16,766

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