6,157,683

3² × 7² × 13963

Starting at 6,157,683, the Collatz iteration reaches 1 after 51 steps. The first transition is 18473050; the starting value is odd with 18 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 7^2 × 13963

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 18

Divisor Sum (σ) 10,347,324

Proper Divisor Sum 4,189,641

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #6157681 ← → #6157717

Radix Representation

Decimal	6157683
Binary	10111011111010101110011 (23 bits)
Octal	0o27372563
Hexadecimal	0x5DF573

Divisor Catalog (18)

1 3 7 9 21 49 63 147 441 13,963 41,889 97,741 125,667 293,223 684,187 879,669 2,052,561 6,157,683

Collatz Trajectory (51 steps to reach 1)

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

6,157,683 18,473,050 9,236,525 27,709,576 13,854,788 6,927,394 3,463,697 10,391,092 5,195,546 2,597,773 7,793,320 3,896,660 1,948,330 974,165 2,922,496 1,461,248 730,624 365,312 182,656 91,328 45,664 22,832 11,416 5,708 2,854 1,427 4,282 2,141 6,424 3,212 1,606 803 2,410 1,205 3,616 1,808 904 452 226 113 340 170 85 256 128 64 32 16 8 4 2 1

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