8,676,381

3 × 7² × 59023

Starting at 8,676,381, the Collatz iteration reaches 1 after 168 steps. The first transition is 26029144; the starting value is odd with 12 positive divisors.

Prime Factor Structure

Factorization String 3 × 7^2 × 59023

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 13,457,472

Proper Divisor Sum 4,781,091

Digit Sum / Digital Root 39 (Root: 3)

Adjacent Primes #8676377 ← → #8676383

Radix Representation

Decimal	8676381
Binary	100001000110010000011101 (24 bits)
Octal	0o41062035
Hexadecimal	0x84641D

Divisor Catalog (12)

1 3 7 21 49 147 59,023 177,069 413,161 1,239,483 2,892,127 8,676,381

Collatz Trajectory (168 steps to reach 1)

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

8,676,381 26,029,144 13,014,572 6,507,286 3,253,643 9,760,930 4,880,465 14,641,396 7,320,698 3,660,349 10,981,048 5,490,524 2,745,262 1,372,631 4,117,894 2,058,947 6,176,842 3,088,421 9,265,264 4,632,632 2,316,316 1,158,158 579,079 1,737,238 868,619 2,605,858 1,302,929 3,908,788 1,954,394 977,197 2,931,592 1,465,796 732,898 366,449 1,099,348 549,674 274,837 824,512 412,256 206,128 103,064 51,532 25,766 12,883 38,650 19,325 57,976 28,988 14,494 7,247 21,742 10,871 32,614 16,307 48,922 24,461 73,384 36,692 18,346 9,173

← Previous Integer #8,676,380 Browse Full Index Next Integer #8,676,382 →