8,106,732

2² × 3² × 67 × 3361

8,106,732 factors as 2^2 × 3^2 × 67 × 3361. Its 36 positive divisors give a proper-divisor sum of 12,697,324, so this integer is abundant. The Collatz stopping time is 137 steps.

Prime Factor Structure

Factorization String 2^2 × 3^2 × 67 × 3361

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 36

Divisor Sum (σ) 20,804,056

Proper Divisor Sum 12,697,324

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #8106697 ← → #8106751

Radix Representation

Decimal	8106732
Binary	11110111011001011101100 (23 bits)
Octal	0o36731354
Hexadecimal	0x7BB2EC

Divisor Catalog (36)

Collatz Trajectory (137 steps to reach 1)

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

8,106,732 4,053,366 2,026,683 6,080,050 3,040,025 9,120,076 4,560,038 2,280,019 6,840,058 3,420,029 10,260,088 5,130,044 2,565,022 1,282,511 3,847,534 1,923,767 5,771,302 2,885,651 8,656,954 4,328,477 12,985,432 6,492,716 3,246,358 1,623,179 4,869,538 2,434,769 7,304,308 3,652,154 1,826,077 5,478,232 2,739,116 1,369,558 684,779 2,054,338 1,027,169 3,081,508 1,540,754 770,377 2,311,132 1,155,566 577,783 1,733,350 866,675 2,600,026 1,300,013 3,900,040 1,950,020 975,010 487,505 1,462,516 731,258 365,629 1,096,888 548,444 274,222 137,111 411,334 205,667 617,002 308,501

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #8,106,731 Browse Full Index Next Integer #8,106,733 →