2,125,839

3 × 631 × 1123

Starting at 2,125,839, the Collatz iteration reaches 1 after 135 steps. The first transition is 6377518; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 3 × 631 × 1123

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 2,841,472

Proper Divisor Sum 715,633

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #2125831 ← → #2125841

Radix Representation

Decimal	2125839
Binary	1000000111000000001111 (22 bits)
Octal	0o10070017
Hexadecimal	0x20700F

Divisor Catalog (8)

1 3 631 1,123 1,893 3,369 708,613 2,125,839

Collatz Trajectory (135 steps to reach 1)

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

2,125,839 6,377,518 3,188,759 9,566,278 4,783,139 14,349,418 7,174,709 21,524,128 10,762,064 5,381,032 2,690,516 1,345,258 672,629 2,017,888 1,008,944 504,472 252,236 126,118 63,059 189,178 94,589 283,768 141,884 70,942 35,471 106,414 53,207 159,622 79,811 239,434 119,717 359,152 179,576 89,788 44,894 22,447 67,342 33,671 101,014 50,507 151,522 75,761 227,284 113,642 56,821 170,464 85,232 42,616 21,308 10,654 5,327 15,982 7,991 23,974 11,987 35,962 17,981 53,944 26,972 13,486

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