2,701,251

3² × 7 × 53 × 809

Starting at 2,701,251, the Collatz iteration reaches 1 after 187 steps. The first transition is 8103754; the starting value is odd with 24 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 7 × 53 × 809

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 4,548,960

Proper Divisor Sum 1,847,709

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #2701207 ← → #2701261

Radix Representation

Decimal	2701251
Binary	1010010011011111000011 (22 bits)
Octal	0o12233703
Hexadecimal	0x2937C3

Divisor Catalog (24)

1 3 7 9 21 53 63 159 371 477 809 1,113 2,427 3,339 5,663 7,281 16,989 42,877 50,967 128,631 300,139 385,893 900,417 2,701,251

Collatz Trajectory (187 steps to reach 1)

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

2,701,251 8,103,754 4,051,877 12,155,632 6,077,816 3,038,908 1,519,454 759,727 2,279,182 1,139,591 3,418,774 1,709,387 5,128,162 2,564,081 7,692,244 3,846,122 1,923,061 5,769,184 2,884,592 1,442,296 721,148 360,574 180,287 540,862 270,431 811,294 405,647 1,216,942 608,471 1,825,414 912,707 2,738,122 1,369,061 4,107,184 2,053,592 1,026,796 513,398 256,699 770,098 385,049 1,155,148 577,574 288,787 866,362 433,181 1,299,544 649,772 324,886 162,443 487,330 243,665 730,996 365,498 182,749 548,248 274,124 137,062 68,531 205,594 102,797

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