λ
Integer Codex

673,492

22 × 137 × 1229
Deficient Even Composite

For 673,492, the 12 positive divisors have a total of 1,188,180. Removing 673,492 leaves 514,688, which gives the deficient classification.

Prime Factor Structure

Factorization String 2^2 × 137 × 1229
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 1,188,180
Proper Divisor Sum 514,688
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #673487 ← → #673499

Radix Representation

Decimal 673492
Binary 10100100011011010100 (20 bits)
Octal 0o2443324
Hexadecimal 0xA46D4

Divisor Catalog (12)

1 2 4 137 274 548 1,229 2,458 4,916 168,373 336,746 673,492

Collatz Trajectory (185 steps to reach 1)

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

673,492 336,746 168,373 505,120 252,560 126,280 63,140 31,570 15,785 47,356 23,678 11,839 35,518 17,759 53,278 26,639 79,918 39,959 119,878 59,939 179,818 89,909 269,728 134,864 67,432 33,716 16,858 8,429 25,288 12,644 6,322 3,161 9,484 4,742 2,371 7,114 3,557 10,672 5,336 2,668 1,334 667 2,002 1,001 3,004 1,502 751 2,254 1,127 3,382 1,691 5,074 2,537 7,612 3,806 1,903 5,710 2,855 8,566 4,283

More profiles

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