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Atlas › Integer Profiles › Node 23,074,336

23,074,336

25 × 23 × 107 × 293
Abundant Even Composite

23,074,336 factors as 2^5 × 23 × 107 × 293. Its 48 positive divisors give a proper-divisor sum of 24,934,688, so this integer is abundant. The Collatz stopping time is 128 steps.

Prime Factor Structure

Factorization String 2^5 × 23 × 107 × 293
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 48,009,024
Proper Divisor Sum 24,934,688
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #23074333 ← → #23074339

Radix Representation

Decimal 23074336
Binary 1011000000001011000100000 (25 bits)
Octal 0o130013040
Hexadecimal 0x1601620

Divisor Catalog (48)

1 2 4 8 16 23 32 46 92 107 184 214 293 368 428 586 736 856 1,172 1,712 2,344 2,461 3,424 4,688 4,922 6,739 9,376 9,844 13,478 19,688 26,956 31,351 39,376 53,912 62,702 78,752 107,824 125,404 215,648 250,808 501,616 721,073 1,003,232 1,442,146 2,884,292 5,768,584 11,537,168 23,074,336

Collatz Trajectory (128 steps to reach 1)

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

23,074,336 11,537,168 5,768,584 2,884,292 1,442,146 721,073 2,163,220 1,081,610 540,805 1,622,416 811,208 405,604 202,802 101,401 304,204 152,102 76,051 228,154 114,077 342,232 171,116 85,558 42,779 128,338 64,169 192,508 96,254 48,127 144,382 72,191 216,574 108,287 324,862 162,431 487,294 243,647 730,942 365,471 1,096,414 548,207 1,644,622 822,311 2,466,934 1,233,467 3,700,402 1,850,201 5,550,604 2,775,302 1,387,651 4,162,954 2,081,477 6,244,432 3,122,216 1,561,108 780,554 390,277 1,170,832 585,416 292,708 146,354

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