λ
Integer Codex

1,726,098

2 × 3 × 11 × 26153
Abundant Even Composite

For 1,726,098, the 16 positive divisors have a total of 3,766,176. Removing 1,726,098 leaves 2,040,078, which gives the abundant classification.

Prime Factor Structure

Factorization String 2 × 3 × 11 × 26153
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 3,766,176
Proper Divisor Sum 2,040,078
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #1726091 ← → #1726103

Radix Representation

Decimal 1726098
Binary 110100101011010010010 (21 bits)
Octal 0o6453222
Hexadecimal 0x1A5692

Divisor Catalog (16)

1 2 3 6 11 22 33 66 26,153 52,306 78,459 156,918 287,683 575,366 863,049 1,726,098

Collatz Trajectory (96 steps to reach 1)

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

1,726,098 863,049 2,589,148 1,294,574 647,287 1,941,862 970,931 2,912,794 1,456,397 4,369,192 2,184,596 1,092,298 546,149 1,638,448 819,224 409,612 204,806 102,403 307,210 153,605 460,816 230,408 115,204 57,602 28,801 86,404 43,202 21,601 64,804 32,402 16,201 48,604 24,302 12,151 36,454 18,227 54,682 27,341 82,024 41,012 20,506 10,253 30,760 15,380 7,690 3,845 11,536 5,768 2,884 1,442 721 2,164 1,082 541 1,624 812 406 203 610 305

More profiles

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