λ
Prime Ledger

3,483,196

22 × 41 × 67 × 317
Deficient Even Composite

3,483,196 has the prime decomposition 2^2 × 41 × 67 × 317. Its 4 distinct prime factors produce 24 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 41 × 67 × 317
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 6,357,456
Proper Divisor Sum 2,874,260
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #3483167 ← → #3483199

Radix Representation

Decimal 3483196
Binary 1101010010011000111100 (22 bits)
Octal 0o15223074
Hexadecimal 0x35263C

Divisor Catalog (24)

1 2 4 41 67 82 134 164 268 317 634 1,268 2,747 5,494 10,988 12,997 21,239 25,994 42,478 51,988 84,956 870,799 1,741,598 3,483,196

Collatz Trajectory (190 steps to reach 1)

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

3,483,196 1,741,598 870,799 2,612,398 1,306,199 3,918,598 1,959,299 5,877,898 2,938,949 8,816,848 4,408,424 2,204,212 1,102,106 551,053 1,653,160 826,580 413,290 206,645 619,936 309,968 154,984 77,492 38,746 19,373 58,120 29,060 14,530 7,265 21,796 10,898 5,449 16,348 8,174 4,087 12,262 6,131 18,394 9,197 27,592 13,796 6,898 3,449 10,348 5,174 2,587 7,762 3,881 11,644 5,822 2,911 8,734 4,367 13,102 6,551 19,654 9,827 29,482 14,741 44,224 22,112

More profiles

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