λ
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Atlas › Integer Profiles › Node 76,445,720

76,445,720

23 × 5 × 13 × 147011
Abundant Even Composite

76,445,720 factors as 2^3 × 5 × 13 × 147011. Its 32 positive divisors give a proper-divisor sum of 108,789,400, so this integer is abundant. The Collatz stopping time is 109 steps.

Prime Factor Structure

Factorization String 2^3 × 5 × 13 × 147011
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 185,235,120
Proper Divisor Sum 108,789,400
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #76445687 ← → #76445729

Radix Representation

Decimal 76445720
Binary 100100011100111100000011000 (27 bits)
Octal 0o443474030
Hexadecimal 0x48E7818

Divisor Catalog (32)

1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 520 147,011 294,022 588,044 735,055 1,176,088 1,470,110 1,911,143 2,940,220 3,822,286 5,880,440 7,644,572 9,555,715 15,289,144 19,111,430 38,222,860 76,445,720

Collatz Trajectory (109 steps to reach 1)

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

76,445,720 38,222,860 19,111,430 9,555,715 28,667,146 14,333,573 43,000,720 21,500,360 10,750,180 5,375,090 2,687,545 8,062,636 4,031,318 2,015,659 6,046,978 3,023,489 9,070,468 4,535,234 2,267,617 6,802,852 3,401,426 1,700,713 5,102,140 2,551,070 1,275,535 3,826,606 1,913,303 5,739,910 2,869,955 8,609,866 4,304,933 12,914,800 6,457,400 3,228,700 1,614,350 807,175 2,421,526 1,210,763 3,632,290 1,816,145 5,448,436 2,724,218 1,362,109 4,086,328 2,043,164 1,021,582 510,791 1,532,374 766,187 2,298,562 1,149,281 3,447,844 1,723,922 861,961 2,585,884 1,292,942 646,471 1,939,414 969,707 2,909,122

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