8,892,624

2⁴ × 3 × 13 × 14251

Starting at 8,892,624, the Collatz iteration reaches 1 after 119 steps. The first transition is 4446312; the starting value is even with 40 positive divisors.

Prime Factor Structure

Factorization String 2^4 × 3 × 13 × 14251

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 40

Divisor Sum (σ) 24,741,472

Proper Divisor Sum 15,848,848

Digit Sum / Digital Root 39 (Root: 3)

Adjacent Primes #8892623 ← → #8892661

Radix Representation

Decimal	8892624
Binary	100001111011000011010000 (24 bits)
Octal	0o41730320
Hexadecimal	0x87B0D0

Divisor Catalog (40)

1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 208 312 624 14,251 28,502 42,753 57,004 85,506 114,008 171,012 185,263 228,016 342,024 370,526 555,789 684,048 741,052 1,111,578 1,482,104 2,223,156 2,964,208 4,446,312 8,892,624

Collatz Trajectory (119 steps to reach 1)

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

8,892,624 4,446,312 2,223,156 1,111,578 555,789 1,667,368 833,684 416,842 208,421 625,264 312,632 156,316 78,158 39,079 117,238 58,619 175,858 87,929 263,788 131,894 65,947 197,842 98,921 296,764 148,382 74,191 222,574 111,287 333,862 166,931 500,794 250,397 751,192 375,596 187,798 93,899 281,698 140,849 422,548 211,274 105,637 316,912 158,456 79,228 39,614 19,807 59,422 29,711 89,134 44,567 133,702 66,851 200,554 100,277 300,832 150,416 75,208 37,604 18,802 9,401

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