7,925,672

2³ × 17 × 101 × 577

Starting at 7,925,672, the Collatz iteration reaches 1 after 124 steps. The first transition is 3962836; the starting value is even with 32 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 17 × 101 × 577

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 15,918,120

Proper Divisor Sum 7,992,448

Digit Sum / Digital Root 38 (Root: 2)

Adjacent Primes #7925663 ← → #7925681

Radix Representation

Decimal	7925672
Binary	11110001110111110101000 (23 bits)
Octal	0o36167650
Hexadecimal	0x78EFA8

Divisor Catalog (32)

1 2 4 8 17 34 68 101 136 202 404 577 808 1,154 1,717 2,308 3,434 4,616 6,868 9,809 13,736 19,618 39,236 58,277 78,472 116,554 233,108 466,216 990,709 1,981,418 3,962,836 7,925,672

Collatz Trajectory (124 steps to reach 1)

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

7,925,672 3,962,836 1,981,418 990,709 2,972,128 1,486,064 743,032 371,516 185,758 92,879 278,638 139,319 417,958 208,979 626,938 313,469 940,408 470,204 235,102 117,551 352,654 176,327 528,982 264,491 793,474 396,737 1,190,212 595,106 297,553 892,660 446,330 223,165 669,496 334,748 167,374 83,687 251,062 125,531 376,594 188,297 564,892 282,446 141,223 423,670 211,835 635,506 317,753 953,260 476,630 238,315 714,946 357,473 1,072,420 536,210 268,105 804,316 402,158 201,079 603,238 301,619

← Previous Integer #7,925,671 Browse Full Index Next Integer #7,925,673 →