2,949,957

3² × 23 × 14251

Starting at 2,949,957, the Collatz iteration reaches 1 after 182 steps. The first transition is 8849872; the starting value is odd with 12 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 23 × 14251

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 4,446,624

Proper Divisor Sum 1,496,667

Digit Sum / Digital Root 45 (Root: 9)

Adjacent Primes #2949953 ← → #2950001

Radix Representation

Decimal	2949957
Binary	1011010000001101000101 (22 bits)
Octal	0o13201505
Hexadecimal	0x2D0345

Divisor Catalog (12)

1 3 9 23 69 207 14,251 42,753 128,259 327,773 983,319 2,949,957

Collatz Trajectory (182 steps to reach 1)

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

2,949,957 8,849,872 4,424,936 2,212,468 1,106,234 553,117 1,659,352 829,676 414,838 207,419 622,258 311,129 933,388 466,694 233,347 700,042 350,021 1,050,064 525,032 262,516 131,258 65,629 196,888 98,444 49,222 24,611 73,834 36,917 110,752 55,376 27,688 13,844 6,922 3,461 10,384 5,192 2,596 1,298 649 1,948 974 487 1,462 731 2,194 1,097 3,292 1,646 823 2,470 1,235 3,706 1,853 5,560 2,780 1,390 695 2,086 1,043 3,130

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