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Atlas › Integer Profiles › Node 80,955,292

80,955,292

22 × 112 × 17 × 9839
Abundant Even Composite

80,955,292 factors as 2^2 × 11^2 × 17 × 9839. Its 36 positive divisors give a proper-divisor sum of 83,943,428, so this integer is abundant. The Collatz stopping time is 391 steps.

Prime Factor Structure

Factorization String 2^2 × 11^2 × 17 × 9839
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 164,898,720
Proper Divisor Sum 83,943,428
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #80955289 ← → #80955313

Radix Representation

Decimal 80955292
Binary 100110100110100011110011100 (27 bits)
Octal 0o464643634
Hexadecimal 0x4D3479C

Divisor Catalog (36)

1 2 4 11 17 22 34 44 68 121 187 242 374 484 748 2,057 4,114 8,228 9,839 19,678 39,356 108,229 167,263 216,458 334,526 432,916 669,052 1,190,519 1,839,893 2,381,038 3,679,786 4,762,076 7,359,572 20,238,823 40,477,646 80,955,292

Collatz Trajectory (391 steps to reach 1)

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

80,955,292 40,477,646 20,238,823 60,716,470 30,358,235 91,074,706 45,537,353 136,612,060 68,306,030 34,153,015 102,459,046 51,229,523 153,688,570 76,844,285 230,532,856 115,266,428 57,633,214 28,816,607 86,449,822 43,224,911 129,674,734 64,837,367 194,512,102 97,256,051 291,768,154 145,884,077 437,652,232 218,826,116 109,413,058 54,706,529 164,119,588 82,059,794 41,029,897 123,089,692 61,544,846 30,772,423 92,317,270 46,158,635 138,475,906 69,237,953 207,713,860 103,856,930 51,928,465 155,785,396 77,892,698 38,946,349 116,839,048 58,419,524 29,209,762 14,604,881 43,814,644 21,907,322 10,953,661 32,860,984 16,430,492 8,215,246 4,107,623 12,322,870 6,161,435 18,484,306

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