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Atlas › Integer Profiles › Node 80,949,308

80,949,308

22 × 11 × 17 × 31 × 3491
Abundant Even Composite

80,949,308 factors as 2^2 × 11 × 17 × 31 × 3491. Its 48 positive divisors give a proper-divisor sum of 88,007,620, so this integer is abundant. The Collatz stopping time is 254 steps.

Prime Factor Structure

Factorization String 2^2 × 11 × 17 × 31 × 3491
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 168,956,928
Proper Divisor Sum 88,007,620
Digit Sum / Digital Root 41 (Root: 5)
Adjacent Primes #80949307 ← → #80949311

Radix Representation

Decimal 80949308
Binary 100110100110011000000111100 (27 bits)
Octal 0o464630074
Hexadecimal 0x4D3303C

Divisor Catalog (48)

1 2 4 11 17 22 31 34 44 62 68 124 187 341 374 527 682 748 1,054 1,364 2,108 3,491 5,797 6,982 11,594 13,964 23,188 38,401 59,347 76,802 108,221 118,694 153,604 216,442 237,388 432,884 652,817 1,190,431 1,305,634 1,839,757 2,380,862 2,611,268 3,679,514 4,761,724 7,359,028 20,237,327 40,474,654 80,949,308

Collatz Trajectory (254 steps to reach 1)

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

80,949,308 40,474,654 20,237,327 60,711,982 30,355,991 91,067,974 45,533,987 136,601,962 68,300,981 204,902,944 102,451,472 51,225,736 25,612,868 12,806,434 6,403,217 19,209,652 9,604,826 4,802,413 14,407,240 7,203,620 3,601,810 1,800,905 5,402,716 2,701,358 1,350,679 4,052,038 2,026,019 6,078,058 3,039,029 9,117,088 4,558,544 2,279,272 1,139,636 569,818 284,909 854,728 427,364 213,682 106,841 320,524 160,262 80,131 240,394 120,197 360,592 180,296 90,148 45,074 22,537 67,612 33,806 16,903 50,710 25,355 76,066 38,033 114,100 57,050 28,525 85,576

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