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Atlas › Integer Profiles › Node 9,745,284

9,745,284

22 × 3 × 17 × 23 × 31 × 67
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 3 × 17 × 23 × 31 × 67
Distinct Prime Factors 6
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 96
Divisor Sum (σ) 26,320,896
Proper Divisor Sum 16,575,612
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #9745277 ← → #9745289

Radix Representation

Decimal 9745284
Binary 100101001011001110000100 (24 bits)
Octal 0o45131604
Hexadecimal 0x94B384

Divisor Catalog (60 of 96)

1 2 3 4 6 12 17 23 31 34 46 51 62 67 68 69 92 93 102 124 134 138 186 201 204 268 276 372 391 402 527 713 782 804 1,054 1,139 1,173 1,426 1,541 1,564 1,581 2,077 2,108 2,139 2,278 2,346 2,852 3,082 3,162 3,417 4,154 4,278 4,556 4,623 4,692 6,164 6,231 6,324 6,834 8,308

Collatz Trajectory (119 steps to reach 1)

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

9,745,284 4,872,642 2,436,321 7,308,964 3,654,482 1,827,241 5,481,724 2,740,862 1,370,431 4,111,294 2,055,647 6,166,942 3,083,471 9,250,414 4,625,207 13,875,622 6,937,811 20,813,434 10,406,717 31,220,152 15,610,076 7,805,038 3,902,519 11,707,558 5,853,779 17,561,338 8,780,669 26,342,008 13,171,004 6,585,502 3,292,751 9,878,254 4,939,127 14,817,382 7,408,691 22,226,074 11,113,037 33,339,112 16,669,556 8,334,778 4,167,389 12,502,168 6,251,084 3,125,542 1,562,771 4,688,314 2,344,157 7,032,472 3,516,236 1,758,118 879,059 2,637,178 1,318,589 3,955,768 1,977,884 988,942 494,471 1,483,414 741,707 2,225,122

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