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Atlas › Integer Profiles › Node 80,901,402

80,901,402

2 × 3 × 17 × 293 × 2707
Abundant Even Composite

80,901,402 factors as 2 × 3 × 17 × 293 × 2707. Its 32 positive divisors give a proper-divisor sum of 91,067,430, so this integer is abundant. The Collatz stopping time is 179 steps.

Prime Factor Structure

Factorization String 2 × 3 × 17 × 293 × 2707
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 171,968,832
Proper Divisor Sum 91,067,430
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #80901397 ← → #80901463

Radix Representation

Decimal 80901402
Binary 100110100100111010100011010 (27 bits)
Octal 0o464472432
Hexadecimal 0x4D2751A

Divisor Catalog (32)

1 2 3 6 17 34 51 102 293 586 879 1,758 2,707 4,981 5,414 8,121 9,962 14,943 16,242 29,886 46,019 92,038 138,057 276,114 793,151 1,586,302 2,379,453 4,758,906 13,483,567 26,967,134 40,450,701 80,901,402

Collatz Trajectory (179 steps to reach 1)

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

80,901,402 40,450,701 121,352,104 60,676,052 30,338,026 15,169,013 45,507,040 22,753,520 11,376,760 5,688,380 2,844,190 1,422,095 4,266,286 2,133,143 6,399,430 3,199,715 9,599,146 4,799,573 14,398,720 7,199,360 3,599,680 1,799,840 899,920 449,960 224,980 112,490 56,245 168,736 84,368 42,184 21,092 10,546 5,273 15,820 7,910 3,955 11,866 5,933 17,800 8,900 4,450 2,225 6,676 3,338 1,669 5,008 2,504 1,252 626 313 940 470 235 706 353 1,060 530 265 796 398

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