9,372,624

2⁴ × 3 × 19 × 43 × 239

Starting at 9,372,624, the Collatz iteration reaches 1 after 75 steps. The first transition is 4686312; the starting value is even with 80 positive divisors.

Prime Factor Structure

Factorization String 2^4 × 3 × 19 × 43 × 239

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 80

Divisor Sum (σ) 26,188,800

Proper Divisor Sum 16,816,176

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #9372577 ← → #9372637

Radix Representation

Decimal	9372624
Binary	100011110000001111010000 (24 bits)
Octal	0o43601720
Hexadecimal	0x8F03D0

Divisor Catalog (60 of 80)

1 2 3 4 6 8 12 16 19 24 38 43 48 57 76 86 114 129 152 172 228 239 258 304 344 456 478 516 688 717 817 912 956 1,032 1,434 1,634 1,912 2,064 2,451 2,868 3,268 3,824 4,541 4,902 5,736 6,536 9,082 9,804 10,277 11,472 13,072 13,623 18,164 19,608 20,554 27,246 30,831 36,328 39,216 41,108

Collatz Trajectory (75 steps to reach 1)

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

9,372,624 4,686,312 2,343,156 1,171,578 585,789 1,757,368 878,684 439,342 219,671 659,014 329,507 988,522 494,261 1,482,784 741,392 370,696 185,348 92,674 46,337 139,012 69,506 34,753 104,260 52,130 26,065 78,196 39,098 19,549 58,648 29,324 14,662 7,331 21,994 10,997 32,992 16,496 8,248 4,124 2,062 1,031 3,094 1,547 4,642 2,321 6,964 3,482 1,741 5,224 2,612 1,306 653 1,960 980 490 245 736 368 184 92 46

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