1,681,127

7 × 137 × 1753

Starting at 1,681,127, the Collatz iteration reaches 1 after 176 steps. The first transition is 5043382; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 7 × 137 × 1753

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 1,936,416

Proper Divisor Sum 255,289

Digit Sum / Digital Root 26 (Root: 8)

Adjacent Primes #1681103 ← → #1681129

Radix Representation

Decimal	1681127
Binary	110011010011011100111 (21 bits)
Octal	0o6323347
Hexadecimal	0x19A6E7

Divisor Catalog (8)

1 7 137 959 1,753 12,271 240,161 1,681,127

Collatz Trajectory (176 steps to reach 1)

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

1,681,127 5,043,382 2,521,691 7,565,074 3,782,537 11,347,612 5,673,806 2,836,903 8,510,710 4,255,355 12,766,066 6,383,033 19,149,100 9,574,550 4,787,275 14,361,826 7,180,913 21,542,740 10,771,370 5,385,685 16,157,056 8,078,528 4,039,264 2,019,632 1,009,816 504,908 252,454 126,227 378,682 189,341 568,024 284,012 142,006 71,003 213,010 106,505 319,516 159,758 79,879 239,638 119,819 359,458 179,729 539,188 269,594 134,797 404,392 202,196 101,098 50,549 151,648 75,824 37,912 18,956 9,478 4,739 14,218 7,109 21,328 10,664

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