8,438,802

2 × 3 × 89 × 15803

Starting at 8,438,802, the Collatz iteration reaches 1 after 168 steps. The first transition is 4219401; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 89 × 15803

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 17,068,320

Proper Divisor Sum 8,629,518

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #8438779 ← → #8438813

Radix Representation

Decimal	8438802
Binary	100000001100010000010010 (24 bits)
Octal	0o40142022
Hexadecimal	0x80C412

Divisor Catalog (16)

1 2 3 6 89 178 267 534 15,803 31,606 47,409 94,818 1,406,467 2,812,934 4,219,401 8,438,802

Collatz Trajectory (168 steps to reach 1)

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

8,438,802 4,219,401 12,658,204 6,329,102 3,164,551 9,493,654 4,746,827 14,240,482 7,120,241 21,360,724 10,680,362 5,340,181 16,020,544 8,010,272 4,005,136 2,002,568 1,001,284 500,642 250,321 750,964 375,482 187,741 563,224 281,612 140,806 70,403 211,210 105,605 316,816 158,408 79,204 39,602 19,801 59,404 29,702 14,851 44,554 22,277 66,832 33,416 16,708 8,354 4,177 12,532 6,266 3,133 9,400 4,700 2,350 1,175 3,526 1,763 5,290 2,645 7,936 3,968 1,984 992 496 248

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