7,266,541

37 × 277 × 709

Starting at 7,266,541, the Collatz iteration reaches 1 after 111 steps. The first transition is 21799624; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 37 × 277 × 709

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 7,500,440

Proper Divisor Sum 233,899

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #7266509 ← → #7266557

Radix Representation

Decimal	7266541
Binary	11011101110000011101101 (23 bits)
Octal	0o33560355
Hexadecimal	0x6EE0ED

Divisor Catalog (8)

1 37 277 709 10,249 26,233 196,393 7,266,541

Collatz Trajectory (111 steps to reach 1)

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

7,266,541 21,799,624 10,899,812 5,449,906 2,724,953 8,174,860 4,087,430 2,043,715 6,131,146 3,065,573 9,196,720 4,598,360 2,299,180 1,149,590 574,795 1,724,386 862,193 2,586,580 1,293,290 646,645 1,939,936 969,968 484,984 242,492 121,246 60,623 181,870 90,935 272,806 136,403 409,210 204,605 613,816 306,908 153,454 76,727 230,182 115,091 345,274 172,637 517,912 258,956 129,478 64,739 194,218 97,109 291,328 145,664 72,832 36,416 18,208 9,104 4,552 2,276 1,138 569 1,708 854 427 1,282

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