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Atlas › Integer Profiles › Node 7,689,710

7,689,710

2 × 5 × 7 × 37 × 2969
Abundant Even Composite

7,689,710 factors as 2 × 5 × 7 × 37 × 2969. Its 32 positive divisors give a proper-divisor sum of 8,562,130, so this integer is abundant. The Collatz stopping time is 173 steps.

Prime Factor Structure

Factorization String 2 × 5 × 7 × 37 × 2969
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 16,251,840
Proper Divisor Sum 8,562,130
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #7689707 ← → #7689713

Radix Representation

Decimal 7689710
Binary 11101010101010111101110 (23 bits)
Octal 0o35252756
Hexadecimal 0x7555EE

Divisor Catalog (32)

1 2 5 7 10 14 35 37 70 74 185 259 370 518 1,295 2,590 2,969 5,938 14,845 20,783 29,690 41,566 103,915 109,853 207,830 219,706 549,265 768,971 1,098,530 1,537,942 3,844,855 7,689,710

Collatz Trajectory (173 steps to reach 1)

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

7,689,710 3,844,855 11,534,566 5,767,283 17,301,850 8,650,925 25,952,776 12,976,388 6,488,194 3,244,097 9,732,292 4,866,146 2,433,073 7,299,220 3,649,610 1,824,805 5,474,416 2,737,208 1,368,604 684,302 342,151 1,026,454 513,227 1,539,682 769,841 2,309,524 1,154,762 577,381 1,732,144 866,072 433,036 216,518 108,259 324,778 162,389 487,168 243,584 121,792 60,896 30,448 15,224 7,612 3,806 1,903 5,710 2,855 8,566 4,283 12,850 6,425 19,276 9,638 4,819 14,458 7,229 21,688 10,844 5,422 2,711 8,134

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