9,023,616

2⁷ × 3³ × 7 × 373

Starting at 9,023,616, the Collatz iteration reaches 1 after 137 steps. The first transition is 4511808; the starting value is even with 128 positive divisors.

Prime Factor Structure

Factorization String 2^7 × 3^3 × 7 × 373

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 128

Divisor Sum (σ) 30,518,400

Proper Divisor Sum 21,494,784

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #9023591 ← → #9023629

Radix Representation

Decimal	9023616
Binary	100010011011000010000000 (24 bits)
Octal	0o42330200
Hexadecimal	0x89B080

Divisor Catalog (60 of 128)

1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 84 96 108 112 126 128 144 168 189 192 216 224 252 288 336 373 378 384 432 448 504 576 672 746 756 864 896 1,008 1,119 1,152 1,344 1,492 1,512 1,728 2,016

Collatz Trajectory (137 steps to reach 1)

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

9,023,616 4,511,808 2,255,904 1,127,952 563,976 281,988 140,994 70,497 211,492 105,746 52,873 158,620 79,310 39,655 118,966 59,483 178,450 89,225 267,676 133,838 66,919 200,758 100,379 301,138 150,569 451,708 225,854 112,927 338,782 169,391 508,174 254,087 762,262 381,131 1,143,394 571,697 1,715,092 857,546 428,773 1,286,320 643,160 321,580 160,790 80,395 241,186 120,593 361,780 180,890 90,445 271,336 135,668 67,834 33,917 101,752 50,876 25,438 12,719 38,158 19,079 57,238

← Previous Integer #9,023,615 Browse Full Index Next Integer #9,023,617 →