9,204,624

2⁴ × 3³ × 11 × 13 × 149

9,204,624 has digital root 9. The neighboring primes are 9204593 and 9204659; its proper-divisor sum differs from the starting integer by 12,838,752.

Prime Factor Structure

Factorization String 2^4 × 3^3 × 11 × 13 × 149

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 160

Divisor Sum (σ) 31,248,000

Proper Divisor Sum 22,043,376

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #9204593 ← → #9204659

Radix Representation

Decimal	9204624
Binary	100011000111001110010000 (24 bits)
Octal	0o43071620
Hexadecimal	0x8C7390

Divisor Catalog (60 of 160)

1 2 3 4 6 8 9 11 12 13 16 18 22 24 26 27 33 36 39 44 48 52 54 66 72 78 88 99 104 108 117 132 143 144 149 156 176 198 208 216 234 264 286 297 298 312 351 396 429 432 447 468 528 572 594 596 624 702 792 858

Collatz Trajectory (106 steps to reach 1)

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

9,204,624 4,602,312 2,301,156 1,150,578 575,289 1,725,868 862,934 431,467 1,294,402 647,201 1,941,604 970,802 485,401 1,456,204 728,102 364,051 1,092,154 546,077 1,638,232 819,116 409,558 204,779 614,338 307,169 921,508 460,754 230,377 691,132 345,566 172,783 518,350 259,175 777,526 388,763 1,166,290 583,145 1,749,436 874,718 437,359 1,312,078 656,039 1,968,118 984,059 2,952,178 1,476,089 4,428,268 2,214,134 1,107,067 3,321,202 1,660,601 4,981,804 2,490,902 1,245,451 3,736,354 1,868,177 5,604,532 2,802,266 1,401,133 4,203,400 2,101,700

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