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Atlas › Integer Profiles › Node 80,979,440

80,979,440

24 × 5 × 31 × 32653
Abundant Even Composite

80,979,440 factors as 2^4 × 5 × 31 × 32653. Its 40 positive divisors give a proper-divisor sum of 113,377,168, so this integer is abundant. The Collatz stopping time is 246 steps.

Prime Factor Structure

Factorization String 2^4 × 5 × 31 × 32653
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 194,356,608
Proper Divisor Sum 113,377,168
Digit Sum / Digital Root 41 (Root: 5)
Adjacent Primes #80979439 ← → #80979461

Radix Representation

Decimal 80979440
Binary 100110100111010010111110000 (27 bits)
Octal 0o464722760
Hexadecimal 0x4D3A5F0

Divisor Catalog (40)

1 2 4 5 8 10 16 20 31 40 62 80 124 155 248 310 496 620 1,240 2,480 32,653 65,306 130,612 163,265 261,224 326,530 522,448 653,060 1,012,243 1,306,120 2,024,486 2,612,240 4,048,972 5,061,215 8,097,944 10,122,430 16,195,888 20,244,860 40,489,720 80,979,440

Collatz Trajectory (246 steps to reach 1)

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

80,979,440 40,489,720 20,244,860 10,122,430 5,061,215 15,183,646 7,591,823 22,775,470 11,387,735 34,163,206 17,081,603 51,244,810 25,622,405 76,867,216 38,433,608 19,216,804 9,608,402 4,804,201 14,412,604 7,206,302 3,603,151 10,809,454 5,404,727 16,214,182 8,107,091 24,321,274 12,160,637 36,481,912 18,240,956 9,120,478 4,560,239 13,680,718 6,840,359 20,521,078 10,260,539 30,781,618 15,390,809 46,172,428 23,086,214 11,543,107 34,629,322 17,314,661 51,943,984 25,971,992 12,985,996 6,492,998 3,246,499 9,739,498 4,869,749 14,609,248 7,304,624 3,652,312 1,826,156 913,078 456,539 1,369,618 684,809 2,054,428 1,027,214 513,607

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