2,789,973

3² × 53 × 5849

Starting at 2,789,973, the Collatz iteration reaches 1 after 169 steps. The first transition is 8369920; the starting value is odd with 12 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 53 × 5849

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 4,106,700

Proper Divisor Sum 1,316,727

Digit Sum / Digital Root 45 (Root: 9)

Adjacent Primes #2789951 ← → #2789993

Radix Representation

Decimal	2789973
Binary	1010101001001001010101 (22 bits)
Octal	0o12511125
Hexadecimal	0x2A9255

Divisor Catalog (12)

1 3 9 53 159 477 5,849 17,547 52,641 309,997 929,991 2,789,973

Collatz Trajectory (169 steps to reach 1)

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

2,789,973 8,369,920 4,184,960 2,092,480 1,046,240 523,120 261,560 130,780 65,390 32,695 98,086 49,043 147,130 73,565 220,696 110,348 55,174 27,587 82,762 41,381 124,144 62,072 31,036 15,518 7,759 23,278 11,639 34,918 17,459 52,378 26,189 78,568 39,284 19,642 9,821 29,464 14,732 7,366 3,683 11,050 5,525 16,576 8,288 4,144 2,072 1,036 518 259 778 389 1,168 584 292 146 73 220 110 55 166 83

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