8,335,512

2³ × 3² × 115771

Starting at 8,335,512, the Collatz iteration reaches 1 after 111 steps. The first transition is 4167756; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 3^2 × 115771

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 22,575,540

Proper Divisor Sum 14,240,028

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #8335489 ← → #8335519

Radix Representation

Decimal	8335512
Binary	11111110011000010011000 (23 bits)
Octal	0o37630230
Hexadecimal	0x7F3098

Divisor Catalog (24)

1 2 3 4 6 8 9 12 18 24 36 72 115,771 231,542 347,313 463,084 694,626 926,168 1,041,939 1,389,252 2,083,878 2,778,504 4,167,756 8,335,512

Collatz Trajectory (111 steps to reach 1)

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

8,335,512 4,167,756 2,083,878 1,041,939 3,125,818 1,562,909 4,688,728 2,344,364 1,172,182 586,091 1,758,274 879,137 2,637,412 1,318,706 659,353 1,978,060 989,030 494,515 1,483,546 741,773 2,225,320 1,112,660 556,330 278,165 834,496 417,248 208,624 104,312 52,156 26,078 13,039 39,118 19,559 58,678 29,339 88,018 44,009 132,028 66,014 33,007 99,022 49,511 148,534 74,267 222,802 111,401 334,204 167,102 83,551 250,654 125,327 375,982 187,991 563,974 281,987 845,962 422,981 1,268,944 634,472 317,236

← Previous Integer #8,335,511 Browse Full Index Next Integer #8,335,513 →