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Atlas › Integer Profiles › Node 80,453,072

80,453,072

24 × 7 × 718331
Abundant Even Composite

80,453,072 factors as 2^4 × 7 × 718331. Its 20 positive divisors give a proper-divisor sum of 97,693,264, so this integer is abundant. The Collatz stopping time is 122 steps.

Prime Factor Structure

Factorization String 2^4 × 7 × 718331
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 20
Divisor Sum (σ) 178,146,336
Proper Divisor Sum 97,693,264
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #80453039 ← → #80453077

Radix Representation

Decimal 80453072
Binary 100110010111001110111010000 (27 bits)
Octal 0o462716720
Hexadecimal 0x4CB9DD0

Divisor Catalog (20)

1 2 4 7 8 14 16 28 56 112 718,331 1,436,662 2,873,324 5,028,317 5,746,648 10,056,634 11,493,296 20,113,268 40,226,536 80,453,072

Collatz Trajectory (122 steps to reach 1)

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

80,453,072 40,226,536 20,113,268 10,056,634 5,028,317 15,084,952 7,542,476 3,771,238 1,885,619 5,656,858 2,828,429 8,485,288 4,242,644 2,121,322 1,060,661 3,181,984 1,590,992 795,496 397,748 198,874 99,437 298,312 149,156 74,578 37,289 111,868 55,934 27,967 83,902 41,951 125,854 62,927 188,782 94,391 283,174 141,587 424,762 212,381 637,144 318,572 159,286 79,643 238,930 119,465 358,396 179,198 89,599 268,798 134,399 403,198 201,599 604,798 302,399 907,198 453,599 1,360,798 680,399 2,041,198 1,020,599 3,061,798

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