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Atlas › Integer Profiles › Node 80,964,897

80,964,897

3 × 13 × 17 × 29 × 4211
Deficient Odd Composite

80,964,897 factors as 3 × 13 × 17 × 29 × 4211. Its 32 positive divisors give a proper-divisor sum of 46,405,983, so this integer is deficient. The Collatz stopping time is 161 steps.

Prime Factor Structure

Factorization String 3 × 13 × 17 × 29 × 4211
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 127,370,880
Proper Divisor Sum 46,405,983
Digit Sum / Digital Root 51 (Root: 6)
Adjacent Primes #80964889 ← → #80964907

Radix Representation

Decimal 80964897
Binary 100110100110110110100100001 (27 bits)
Octal 0o464666441
Hexadecimal 0x4D36D21

Divisor Catalog (32)

1 3 13 17 29 39 51 87 221 377 493 663 1,131 1,479 4,211 6,409 12,633 19,227 54,743 71,587 122,119 164,229 214,761 366,357 930,631 1,587,547 2,076,023 2,791,893 4,762,641 6,228,069 26,988,299 80,964,897

Collatz Trajectory (161 steps to reach 1)

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

80,964,897 242,894,692 121,447,346 60,723,673 182,171,020 91,085,510 45,542,755 136,628,266 68,314,133 204,942,400 102,471,200 51,235,600 25,617,800 12,808,900 6,404,450 3,202,225 9,606,676 4,803,338 2,401,669 7,205,008 3,602,504 1,801,252 900,626 450,313 1,350,940 675,470 337,735 1,013,206 506,603 1,519,810 759,905 2,279,716 1,139,858 569,929 1,709,788 854,894 427,447 1,282,342 641,171 1,923,514 961,757 2,885,272 1,442,636 721,318 360,659 1,081,978 540,989 1,622,968 811,484 405,742 202,871 608,614 304,307 912,922 456,461 1,369,384 684,692 342,346 171,173 513,520

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