λ
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Atlas › Integer Profiles › Node 80,979,648

80,979,648

26 × 3 × 491 × 859
Abundant Even Composite

Prime Factor Structure

Factorization String 2^6 × 3 × 491 × 859
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 56
Divisor Sum (σ) 214,944,960
Proper Divisor Sum 133,965,312
Digit Sum / Digital Root 51 (Root: 6)
Adjacent Primes #80979631 ← → #80979649

Radix Representation

Decimal 80979648
Binary 100110100111010011011000000 (27 bits)
Octal 0o464723300
Hexadecimal 0x4D3A6C0

Divisor Catalog (56)

1 2 3 4 6 8 12 16 24 32 48 64 96 192 491 859 982 1,473 1,718 1,964 2,577 2,946 3,436 3,928 5,154 5,892 6,872 7,856 10,308 11,784 13,744 15,712 20,616 23,568 27,488 31,424 41,232 47,136 54,976 82,464 94,272 164,928 421,769 843,538 1,265,307 1,687,076 2,530,614 3,374,152 5,061,228 6,748,304 10,122,456 13,496,608 20,244,912 26,993,216 40,489,824 80,979,648

Collatz Trajectory (254 steps to reach 1)

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

80,979,648 40,489,824 20,244,912 10,122,456 5,061,228 2,530,614 1,265,307 3,795,922 1,897,961 5,693,884 2,846,942 1,423,471 4,270,414 2,135,207 6,405,622 3,202,811 9,608,434 4,804,217 14,412,652 7,206,326 3,603,163 10,809,490 5,404,745 16,214,236 8,107,118 4,053,559 12,160,678 6,080,339 18,241,018 9,120,509 27,361,528 13,680,764 6,840,382 3,420,191 10,260,574 5,130,287 15,390,862 7,695,431 23,086,294 11,543,147 34,629,442 17,314,721 51,944,164 25,972,082 12,986,041 38,958,124 19,479,062 9,739,531 29,218,594 14,609,297 43,827,892 21,913,946 10,956,973 32,870,920 16,435,460 8,217,730 4,108,865 12,326,596 6,163,298 3,081,649

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