8,145,332

2² × 13 × 156641

Starting at 8,145,332, the Collatz iteration reaches 1 after 230 steps. The first transition is 4072666; the starting value is even with 12 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 13 × 156641

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 15,350,916

Proper Divisor Sum 7,205,584

Digit Sum / Digital Root 26 (Root: 8)

Adjacent Primes #8145323 ← → #8145337

Radix Representation

Decimal	8145332
Binary	11111000100100110110100 (23 bits)
Octal	0o37044664
Hexadecimal	0x7C49B4

Divisor Catalog (12)

1 2 4 13 26 52 156,641 313,282 626,564 2,036,333 4,072,666 8,145,332

Collatz Trajectory (230 steps to reach 1)

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

8,145,332 4,072,666 2,036,333 6,109,000 3,054,500 1,527,250 763,625 2,290,876 1,145,438 572,719 1,718,158 859,079 2,577,238 1,288,619 3,865,858 1,932,929 5,798,788 2,899,394 1,449,697 4,349,092 2,174,546 1,087,273 3,261,820 1,630,910 815,455 2,446,366 1,223,183 3,669,550 1,834,775 5,504,326 2,752,163 8,256,490 4,128,245 12,384,736 6,192,368 3,096,184 1,548,092 774,046 387,023 1,161,070 580,535 1,741,606 870,803 2,612,410 1,306,205 3,918,616 1,959,308 979,654 489,827 1,469,482 734,741 2,204,224 1,102,112 551,056 275,528 137,764 68,882 34,441 103,324 51,662

← Previous Integer #8,145,331 Browse Full Index Next Integer #8,145,333 →