80,988,488

2³ × 7 × 19 × 103 × 739

80,988,488 factors as 2^3 × 7 × 19 × 103 × 739. Its 64 positive divisors give a proper-divisor sum of 103,715,512, so this integer is abundant. The Collatz stopping time is 254 steps.

Prime Factor Structure

Factorization String 2^3 × 7 × 19 × 103 × 739

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 64

Divisor Sum (σ) 184,704,000

Proper Divisor Sum 103,715,512

Digit Sum / Digital Root 53 (Root: 8)

Adjacent Primes #80988421 ← → #80988499

Radix Representation

Decimal	80988488
Binary	100110100111100100101001000 (27 bits)
Octal	0o464744510
Hexadecimal	0x4D3C948

Divisor Catalog (60 of 64)

1 2 4 7 8 14 19 28 38 56 76 103 133 152 206 266 412 532 721 739 824 1,064 1,442 1,478 1,957 2,884 2,956 3,914 5,173 5,768 5,912 7,828 10,346 13,699 14,041 15,656 20,692 27,398 28,082 41,384 54,796 56,164 76,117 98,287 109,592 112,328 152,234 196,574 304,468 393,148 532,819 608,936 786,296 1,065,638 1,446,223 2,131,276 2,892,446 4,262,552 5,784,892 10,123,561

Collatz Trajectory (254 steps to reach 1)

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

80,988,488 40,494,244 20,247,122 10,123,561 30,370,684 15,185,342 7,592,671 22,778,014 11,389,007 34,167,022 17,083,511 51,250,534 25,625,267 76,875,802 38,437,901 115,313,704 57,656,852 28,828,426 14,414,213 43,242,640 21,621,320 10,810,660 5,405,330 2,702,665 8,107,996 4,053,998 2,026,999 6,080,998 3,040,499 9,121,498 4,560,749 13,682,248 6,841,124 3,420,562 1,710,281 5,130,844 2,565,422 1,282,711 3,848,134 1,924,067 5,772,202 2,886,101 8,658,304 4,329,152 2,164,576 1,082,288 541,144 270,572 135,286 67,643 202,930 101,465 304,396 152,198 76,099 228,298 114,149 342,448 171,224 85,612

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