λ
Integer Codex

2,198,131

13 × 353 × 479
Deficient Odd Composite

For 2,198,131, the 8 positive divisors have a total of 2,378,880. Removing 2,198,131 leaves 180,749, which gives the deficient classification.

Prime Factor Structure

Factorization String 13 × 353 × 479
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 2,378,880
Proper Divisor Sum 180,749
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #2198093 ← → #2198137

Radix Representation

Decimal 2198131
Binary 1000011000101001110011 (22 bits)
Octal 0o10305163
Hexadecimal 0x218A73

Divisor Catalog (8)

1 13 353 479 4,589 6,227 169,087 2,198,131

Collatz Trajectory (148 steps to reach 1)

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

2,198,131 6,594,394 3,297,197 9,891,592 4,945,796 2,472,898 1,236,449 3,709,348 1,854,674 927,337 2,782,012 1,391,006 695,503 2,086,510 1,043,255 3,129,766 1,564,883 4,694,650 2,347,325 7,041,976 3,520,988 1,760,494 880,247 2,640,742 1,320,371 3,961,114 1,980,557 5,941,672 2,970,836 1,485,418 742,709 2,228,128 1,114,064 557,032 278,516 139,258 69,629 208,888 104,444 52,222 26,111 78,334 39,167 117,502 58,751 176,254 88,127 264,382 132,191 396,574 198,287 594,862 297,431 892,294 446,147 1,338,442 669,221 2,007,664 1,003,832 501,916

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