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Atlas › Integer Profiles › Node 7,600,920

7,600,920

23 × 3 × 5 × 97 × 653
Abundant Even Composite

7,600,920 factors as 2^3 × 3 × 5 × 97 × 653. Its 64 positive divisors give a proper-divisor sum of 15,472,200, so this integer is abundant. The Collatz stopping time is 129 steps.

Prime Factor Structure

Factorization String 2^3 × 3 × 5 × 97 × 653
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 23,073,120
Proper Divisor Sum 15,472,200
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #7600913 ← → #7600927

Radix Representation

Decimal 7600920
Binary 11100111111101100011000 (23 bits)
Octal 0o34775430
Hexadecimal 0x73FB18

Divisor Catalog (60 of 64)

1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 97 120 194 291 388 485 582 653 776 970 1,164 1,306 1,455 1,940 1,959 2,328 2,612 2,910 3,265 3,880 3,918 5,224 5,820 6,530 7,836 9,795 11,640 13,060 15,672 19,590 26,120 39,180 63,341 78,360 126,682 190,023 253,364 316,705 380,046 506,728 633,410 760,092 950,115 1,266,820 1,520,184

Collatz Trajectory (129 steps to reach 1)

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

7,600,920 3,800,460 1,900,230 950,115 2,850,346 1,425,173 4,275,520 2,137,760 1,068,880 534,440 267,220 133,610 66,805 200,416 100,208 50,104 25,052 12,526 6,263 18,790 9,395 28,186 14,093 42,280 21,140 10,570 5,285 15,856 7,928 3,964 1,982 991 2,974 1,487 4,462 2,231 6,694 3,347 10,042 5,021 15,064 7,532 3,766 1,883 5,650 2,825 8,476 4,238 2,119 6,358 3,179 9,538 4,769 14,308 7,154 3,577 10,732 5,366 2,683 8,050

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