8,928,968

2³ × 23 × 48527

Starting at 8,928,968, the Collatz iteration reaches 1 after 181 steps. The first transition is 4464484; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 23 × 48527

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 17,470,080

Proper Divisor Sum 8,541,112

Digit Sum / Digital Root 50 (Root: 5)

Adjacent Primes #8928929 ← → #8928971

Radix Representation

Decimal	8928968
Binary	100010000011111011001000 (24 bits)
Octal	0o42037310
Hexadecimal	0x883EC8

Divisor Catalog (16)

1 2 4 8 23 46 92 184 48,527 97,054 194,108 388,216 1,116,121 2,232,242 4,464,484 8,928,968

Collatz Trajectory (181 steps to reach 1)

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

8,928,968 4,464,484 2,232,242 1,116,121 3,348,364 1,674,182 837,091 2,511,274 1,255,637 3,766,912 1,883,456 941,728 470,864 235,432 117,716 58,858 29,429 88,288 44,144 22,072 11,036 5,518 2,759 8,278 4,139 12,418 6,209 18,628 9,314 4,657 13,972 6,986 3,493 10,480 5,240 2,620 1,310 655 1,966 983 2,950 1,475 4,426 2,213 6,640 3,320 1,660 830 415 1,246 623 1,870 935 2,806 1,403 4,210 2,105 6,316 3,158 1,579

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