8,624,902

2 × 11 × 13 × 53 × 569

Starting at 8,624,902, the Collatz iteration reaches 1 after 75 steps. The first transition is 4312451; the starting value is even with 32 positive divisors.

Prime Factor Structure

Factorization String 2 × 11 × 13 × 53 × 569

Distinct Prime Factors 5

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 15,513,120

Proper Divisor Sum 6,888,218

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #8624887 ← → #8624921

Radix Representation

Decimal	8624902
Binary	100000111001101100000110 (24 bits)
Octal	0o40715406
Hexadecimal	0x839B06

Divisor Catalog (32)

1 2 11 13 22 26 53 106 143 286 569 583 689 1,138 1,166 1,378 6,259 7,397 7,579 12,518 14,794 15,158 30,157 60,314 81,367 162,734 331,727 392,041 663,454 784,082 4,312,451 8,624,902

Collatz Trajectory (75 steps to reach 1)

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

8,624,902 4,312,451 12,937,354 6,468,677 19,406,032 9,703,016 4,851,508 2,425,754 1,212,877 3,638,632 1,819,316 909,658 454,829 1,364,488 682,244 341,122 170,561 511,684 255,842 127,921 383,764 191,882 95,941 287,824 143,912 71,956 35,978 17,989 53,968 26,984 13,492 6,746 3,373 10,120 5,060 2,530 1,265 3,796 1,898 949 2,848 1,424 712 356 178 89 268 134 67 202 101 304 152 76 38 19 58 29 88 44

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