9,323,808

2⁵ × 3 × 13 × 31 × 241

Starting at 9,323,808, the Collatz iteration reaches 1 after 181 steps. The first transition is 4661904; the starting value is even with 96 positive divisors.

Prime Factor Structure

Factorization String 2^5 × 3 × 13 × 31 × 241

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 27,320,832

Proper Divisor Sum 17,997,024

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #9323801 ← → #9323827

Radix Representation

Decimal	9323808
Binary	100011100100010100100000 (24 bits)
Octal	0o43442440
Hexadecimal	0x8E4520

Divisor Catalog (60 of 96)

1 2 3 4 6 8 12 13 16 24 26 31 32 39 48 52 62 78 93 96 104 124 156 186 208 241 248 312 372 403 416 482 496 624 723 744 806 964 992 1,209 1,248 1,446 1,488 1,612 1,928 2,418 2,892 2,976 3,133 3,224 3,856 4,836 5,784 6,266 6,448 7,471 7,712 9,399 9,672 11,568

Collatz Trajectory (181 steps to reach 1)

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

9,323,808 4,661,904 2,330,952 1,165,476 582,738 291,369 874,108 437,054 218,527 655,582 327,791 983,374 491,687 1,475,062 737,531 2,212,594 1,106,297 3,318,892 1,659,446 829,723 2,489,170 1,244,585 3,733,756 1,866,878 933,439 2,800,318 1,400,159 4,200,478 2,100,239 6,300,718 3,150,359 9,451,078 4,725,539 14,176,618 7,088,309 21,264,928 10,632,464 5,316,232 2,658,116 1,329,058 664,529 1,993,588 996,794 498,397 1,495,192 747,596 373,798 186,899 560,698 280,349 841,048 420,524 210,262 105,131 315,394 157,697 473,092 236,546 118,273 354,820

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