7,929,565

5 × 7 × 17 × 13327

Starting at 7,929,565, the Collatz iteration reaches 1 after 217 steps. The first transition is 23788696; the starting value is odd with 16 positive divisors.

Prime Factor Structure

Factorization String 5 × 7 × 17 × 13327

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 11,515,392

Proper Divisor Sum 3,585,827

Digit Sum / Digital Root 43 (Root: 7)

Adjacent Primes #7929563 ← → #7929577

Radix Representation

Decimal	7929565
Binary	11110001111111011011101 (23 bits)
Octal	0o36177335
Hexadecimal	0x78FEDD

Divisor Catalog (16)

1 5 7 17 35 85 119 595 13,327 66,635 93,289 226,559 466,445 1,132,795 1,585,913 7,929,565

Collatz Trajectory (217 steps to reach 1)

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

7,929,565 23,788,696 11,894,348 5,947,174 2,973,587 8,920,762 4,460,381 13,381,144 6,690,572 3,345,286 1,672,643 5,017,930 2,508,965 7,526,896 3,763,448 1,881,724 940,862 470,431 1,411,294 705,647 2,116,942 1,058,471 3,175,414 1,587,707 4,763,122 2,381,561 7,144,684 3,572,342 1,786,171 5,358,514 2,679,257 8,037,772 4,018,886 2,009,443 6,028,330 3,014,165 9,042,496 4,521,248 2,260,624 1,130,312 565,156 282,578 141,289 423,868 211,934 105,967 317,902 158,951 476,854 238,427 715,282 357,641 1,072,924 536,462 268,231 804,694 402,347 1,207,042 603,521 1,810,564

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