λ
Integer Codex

3,467,916

22 × 32 × 96331
Abundant Even Composite

For 3,467,916, the 18 positive divisors have a total of 8,766,212. Removing 3,467,916 leaves 5,298,296, which gives the abundant classification.

Prime Factor Structure

Factorization String 2^2 × 3^2 × 96331
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 18
Divisor Sum (σ) 8,766,212
Proper Divisor Sum 5,298,296
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #3467909 ← → #3467921

Radix Representation

Decimal 3467916
Binary 1101001110101010001100 (22 bits)
Octal 0o15165214
Hexadecimal 0x34EA8C

Divisor Catalog (18)

1 2 3 4 6 9 12 18 36 96,331 192,662 288,993 385,324 577,986 866,979 1,155,972 1,733,958 3,467,916

Collatz Trajectory (190 steps to reach 1)

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

3,467,916 1,733,958 866,979 2,600,938 1,300,469 3,901,408 1,950,704 975,352 487,676 243,838 121,919 365,758 182,879 548,638 274,319 822,958 411,479 1,234,438 617,219 1,851,658 925,829 2,777,488 1,388,744 694,372 347,186 173,593 520,780 260,390 130,195 390,586 195,293 585,880 292,940 146,470 73,235 219,706 109,853 329,560 164,780 82,390 41,195 123,586 61,793 185,380 92,690 46,345 139,036 69,518 34,759 104,278 52,139 156,418 78,209 234,628 117,314 58,657 175,972 87,986 43,993 131,980

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