6,729,036

2² × 3 × 560753

Starting at 6,729,036, the Collatz iteration reaches 1 after 222 steps. The first transition is 3364518; the starting value is even with 12 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3 × 560753

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 15,701,112

Proper Divisor Sum 8,972,076

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #6729017 ← → #6729053

Radix Representation

Decimal	6729036
Binary	11001101010110101001100 (23 bits)
Octal	0o31526514
Hexadecimal	0x66AD4C

Divisor Catalog (12)

1 2 3 4 6 12 560,753 1,121,506 1,682,259 2,243,012 3,364,518 6,729,036

Collatz Trajectory (222 steps to reach 1)

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

6,729,036 3,364,518 1,682,259 5,046,778 2,523,389 7,570,168 3,785,084 1,892,542 946,271 2,838,814 1,419,407 4,258,222 2,129,111 6,387,334 3,193,667 9,581,002 4,790,501 14,371,504 7,185,752 3,592,876 1,796,438 898,219 2,694,658 1,347,329 4,041,988 2,020,994 1,010,497 3,031,492 1,515,746 757,873 2,273,620 1,136,810 568,405 1,705,216 852,608 426,304 213,152 106,576 53,288 26,644 13,322 6,661 19,984 9,992 4,996 2,498 1,249 3,748 1,874 937 2,812 1,406 703 2,110 1,055 3,166 1,583 4,750 2,375 7,126

← Previous Integer #6,729,035 Browse Full Index Next Integer #6,729,037 →