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Atlas › Integer Profiles › Node 9,733,113

9,733,113

32 × 13 × 41 × 2029
Deficient Odd Composite

Prime Factor Structure

Factorization String 3^2 × 13 × 41 × 2029
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 15,517,320
Proper Divisor Sum 5,784,207
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #9733081 ← → #9733121

Radix Representation

Decimal 9733113
Binary 100101001000001111111001 (24 bits)
Octal 0o45101771
Hexadecimal 0x9483F9

Divisor Catalog (24)

1 3 9 13 39 41 117 123 369 533 1,599 2,029 4,797 6,087 18,261 26,377 79,131 83,189 237,393 249,567 748,701 1,081,457 3,244,371 9,733,113

Collatz Trajectory (225 steps to reach 1)

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

9,733,113 29,199,340 14,599,670 7,299,835 21,899,506 10,949,753 32,849,260 16,424,630 8,212,315 24,636,946 12,318,473 36,955,420 18,477,710 9,238,855 27,716,566 13,858,283 41,574,850 20,787,425 62,362,276 31,181,138 15,590,569 46,771,708 23,385,854 11,692,927 35,078,782 17,539,391 52,618,174 26,309,087 78,927,262 39,463,631 118,390,894 59,195,447 177,586,342 88,793,171 266,379,514 133,189,757 399,569,272 199,784,636 99,892,318 49,946,159 149,838,478 74,919,239 224,757,718 112,378,859 337,136,578 168,568,289 505,704,868 252,852,434 126,426,217 379,278,652 189,639,326 94,819,663 284,458,990 142,229,495 426,688,486 213,344,243 640,032,730 320,016,365 960,049,096 480,024,548

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