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Atlas › Integer Profiles › Node 80,901,568

80,901,568

26 × 112 × 31 × 337
Abundant Even Composite

80,901,568 factors as 2^6 × 11^2 × 31 × 337. Its 84 positive divisors give a proper-divisor sum of 101,791,488, so this integer is abundant. The Collatz stopping time is 223 steps.

Prime Factor Structure

Factorization String 2^6 × 11^2 × 31 × 337
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 84
Divisor Sum (σ) 182,693,056
Proper Divisor Sum 101,791,488
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #80901553 ← → #80901571

Radix Representation

Decimal 80901568
Binary 100110100100111010111000000 (27 bits)
Octal 0o464472700
Hexadecimal 0x4D275C0

Divisor Catalog (60 of 84)

1 2 4 8 11 16 22 31 32 44 62 64 88 121 124 176 242 248 337 341 352 484 496 674 682 704 968 992 1,348 1,364 1,936 1,984 2,696 2,728 3,707 3,751 3,872 5,392 5,456 7,414 7,502 7,744 10,447 10,784 10,912 14,828 15,004 20,894 21,568 21,824 29,656 30,008 40,777 41,788 59,312 60,016 81,554 83,576 114,917 118,624

Collatz Trajectory (223 steps to reach 1)

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

80,901,568 40,450,784 20,225,392 10,112,696 5,056,348 2,528,174 1,264,087 3,792,262 1,896,131 5,688,394 2,844,197 8,532,592 4,266,296 2,133,148 1,066,574 533,287 1,599,862 799,931 2,399,794 1,199,897 3,599,692 1,799,846 899,923 2,699,770 1,349,885 4,049,656 2,024,828 1,012,414 506,207 1,518,622 759,311 2,277,934 1,138,967 3,416,902 1,708,451 5,125,354 2,562,677 7,688,032 3,844,016 1,922,008 961,004 480,502 240,251 720,754 360,377 1,081,132 540,566 270,283 810,850 405,425 1,216,276 608,138 304,069 912,208 456,104 228,052 114,026 57,013 171,040 85,520

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