2,842,083

3² × 457 × 691

Starting at 2,842,083, the Collatz iteration reaches 1 after 76 steps. The first transition is 8526250; the starting value is odd with 12 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 457 × 691

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 4,120,168

Proper Divisor Sum 1,278,085

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #2842069 ← → #2842097

Radix Representation

Decimal	2842083
Binary	1010110101110111100011 (22 bits)
Octal	0o12656743
Hexadecimal	0x2B5DE3

Divisor Catalog (12)

1 3 9 457 691 1,371 2,073 4,113 6,219 315,787 947,361 2,842,083

Collatz Trajectory (76 steps to reach 1)

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

2,842,083 8,526,250 4,263,125 12,789,376 6,394,688 3,197,344 1,598,672 799,336 399,668 199,834 99,917 299,752 149,876 74,938 37,469 112,408 56,204 28,102 14,051 42,154 21,077 63,232 31,616 15,808 7,904 3,952 1,976 988 494 247 742 371 1,114 557 1,672 836 418 209 628 314 157 472 236 118 59 178 89 268 134 67 202 101 304 152 76 38 19 58 29 88

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