7,830,727

17 × 599 × 769

Starting at 7,830,727, the Collatz iteration reaches 1 after 142 steps. The first transition is 23492182; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 17 × 599 × 769

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 8,316,000

Proper Divisor Sum 485,273

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #7830721 ← → #7830731

Radix Representation

Decimal	7830727
Binary	11101110111110011000111 (23 bits)
Octal	0o35676307
Hexadecimal	0x777CC7

Divisor Catalog (8)

1 17 599 769 10,183 13,073 460,631 7,830,727

Collatz Trajectory (142 steps to reach 1)

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

7,830,727 23,492,182 11,746,091 35,238,274 17,619,137 52,857,412 26,428,706 13,214,353 39,643,060 19,821,530 9,910,765 29,732,296 14,866,148 7,433,074 3,716,537 11,149,612 5,574,806 2,787,403 8,362,210 4,181,105 12,543,316 6,271,658 3,135,829 9,407,488 4,703,744 2,351,872 1,175,936 587,968 293,984 146,992 73,496 36,748 18,374 9,187 27,562 13,781 41,344 20,672 10,336 5,168 2,584 1,292 646 323 970 485 1,456 728 364 182 91 274 137 412 206 103 310 155 466 233

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