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Atlas › Integer Profiles › Node 9,733,710

9,733,710

2 × 3 × 5 × 7 × 46351
Abundant Even Composite

9,733,710 factors as 2 × 3 × 5 × 7 × 46351. Its 32 positive divisors give a proper-divisor sum of 16,965,042, so this integer is abundant. The Collatz stopping time is 238 steps.

Prime Factor Structure

Factorization String 2 × 3 × 5 × 7 × 46351
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 26,698,752
Proper Divisor Sum 16,965,042
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #9733699 ← → #9733729

Radix Representation

Decimal 9733710
Binary 100101001000011001001110 (24 bits)
Octal 0o45103116
Hexadecimal 0x94864E

Divisor Catalog (32)

1 2 3 5 6 7 10 14 15 21 30 35 42 70 105 210 46,351 92,702 139,053 231,755 278,106 324,457 463,510 648,914 695,265 973,371 1,390,530 1,622,285 1,946,742 3,244,570 4,866,855 9,733,710

Collatz Trajectory (238 steps to reach 1)

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

9,733,710 4,866,855 14,600,566 7,300,283 21,900,850 10,950,425 32,851,276 16,425,638 8,212,819 24,638,458 12,319,229 36,957,688 18,478,844 9,239,422 4,619,711 13,859,134 6,929,567 20,788,702 10,394,351 31,183,054 15,591,527 46,774,582 23,387,291 70,161,874 35,080,937 105,242,812 52,621,406 26,310,703 78,932,110 39,466,055 118,398,166 59,199,083 177,597,250 88,798,625 266,395,876 133,197,938 66,598,969 199,796,908 99,898,454 49,949,227 149,847,682 74,923,841 224,771,524 112,385,762 56,192,881 168,578,644 84,289,322 42,144,661 126,433,984 63,216,992 31,608,496 15,804,248 7,902,124 3,951,062 1,975,531 5,926,594 2,963,297 8,889,892 4,444,946 2,222,473

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