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Atlas › Integer Profiles › Node 9,107,730

9,107,730

2 × 32 × 5 × 101197
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 3^2 × 5 × 101197
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 23,680,332
Proper Divisor Sum 14,572,602
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #9107729 ← → #9107731

Radix Representation

Decimal 9107730
Binary 100010101111100100010010 (24 bits)
Octal 0o42574422
Hexadecimal 0x8AF912

Divisor Catalog (24)

1 2 3 5 6 9 10 15 18 30 45 90 101,197 202,394 303,591 505,985 607,182 910,773 1,011,970 1,517,955 1,821,546 3,035,910 4,553,865 9,107,730

Collatz Trajectory (243 steps to reach 1)

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

9,107,730 4,553,865 13,661,596 6,830,798 3,415,399 10,246,198 5,123,099 15,369,298 7,684,649 23,053,948 11,526,974 5,763,487 17,290,462 8,645,231 25,935,694 12,967,847 38,903,542 19,451,771 58,355,314 29,177,657 87,532,972 43,766,486 21,883,243 65,649,730 32,824,865 98,474,596 49,237,298 24,618,649 73,855,948 36,927,974 18,463,987 55,391,962 27,695,981 83,087,944 41,543,972 20,771,986 10,385,993 31,157,980 15,578,990 7,789,495 23,368,486 11,684,243 35,052,730 17,526,365 52,579,096 26,289,548 13,144,774 6,572,387 19,717,162 9,858,581 29,575,744 14,787,872 7,393,936 3,696,968 1,848,484 924,242 462,121 1,386,364 693,182 346,591

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