9,226,295

5 × 13 × 43 × 3301

Starting at 9,226,295, the Collatz iteration reaches 1 after 186 steps. The first transition is 27678886; the starting value is odd with 16 positive divisors.

Prime Factor Structure

Factorization String 5 × 13 × 43 × 3301

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 12,204,192

Proper Divisor Sum 2,977,897

Digit Sum / Digital Root 35 (Root: 8)

Adjacent Primes #9226253 ← → #9226297

Radix Representation

Decimal	9226295
Binary	100011001100100000110111 (24 bits)
Octal	0o43144067
Hexadecimal	0x8CC837

Divisor Catalog (16)

1 5 13 43 65 215 559 2,795 3,301 16,505 42,913 141,943 214,565 709,715 1,845,259 9,226,295

Collatz Trajectory (186 steps to reach 1)

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

9,226,295 27,678,886 13,839,443 41,518,330 20,759,165 62,277,496 31,138,748 15,569,374 7,784,687 23,354,062 11,677,031 35,031,094 17,515,547 52,546,642 26,273,321 78,819,964 39,409,982 19,704,991 59,114,974 29,557,487 88,672,462 44,336,231 133,008,694 66,504,347 199,513,042 99,756,521 299,269,564 149,634,782 74,817,391 224,452,174 112,226,087 336,678,262 168,339,131 505,017,394 252,508,697 757,526,092 378,763,046 189,381,523 568,144,570 284,072,285 852,216,856 426,108,428 213,054,214 106,527,107 319,581,322 159,790,661 479,371,984 239,685,992 119,842,996 59,921,498 29,960,749 89,882,248 44,941,124 22,470,562 11,235,281 33,705,844 16,852,922 8,426,461 25,279,384 12,639,692

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