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9,709,630

2 × 5 × 7 × 59 × 2351
Abundant Even Composite

9,709,630 factors as 2 × 5 × 7 × 59 × 2351. Its 32 positive divisors give a proper-divisor sum of 10,611,650, so this integer is abundant. The Collatz stopping time is 119 steps.

Prime Factor Structure

Factorization String 2 × 5 × 7 × 59 × 2351
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 20,321,280
Proper Divisor Sum 10,611,650
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #9709621 ← → #9709631

Radix Representation

Decimal 9709630
Binary 100101000010100000111110 (24 bits)
Octal 0o45024076
Hexadecimal 0x94283E

Divisor Catalog (32)

1 2 5 7 10 14 35 59 70 118 295 413 590 826 2,065 2,351 4,130 4,702 11,755 16,457 23,510 32,914 82,285 138,709 164,570 277,418 693,545 970,963 1,387,090 1,941,926 4,854,815 9,709,630

Collatz Trajectory (119 steps to reach 1)

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

9,709,630 4,854,815 14,564,446 7,282,223 21,846,670 10,923,335 32,770,006 16,385,003 49,155,010 24,577,505 73,732,516 36,866,258 18,433,129 55,299,388 27,649,694 13,824,847 41,474,542 20,737,271 62,211,814 31,105,907 93,317,722 46,658,861 139,976,584 69,988,292 34,994,146 17,497,073 52,491,220 26,245,610 13,122,805 39,368,416 19,684,208 9,842,104 4,921,052 2,460,526 1,230,263 3,690,790 1,845,395 5,536,186 2,768,093 8,304,280 4,152,140 2,076,070 1,038,035 3,114,106 1,557,053 4,671,160 2,335,580 1,167,790 583,895 1,751,686 875,843 2,627,530 1,313,765 3,941,296 1,970,648 985,324 492,662 246,331 738,994 369,497

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