λ
Prime Ledger

3,230,997

3 × 7 × 11 × 71 × 197
Deficient Odd Composite

3,230,997 has the prime decomposition 3 × 7 × 11 × 71 × 197. Its 5 distinct prime factors produce 32 positive divisors.

Prime Factor Structure

Factorization String 3 × 7 × 11 × 71 × 197
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 5,474,304
Proper Divisor Sum 2,243,307
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #3230993 ← → #3230999

Radix Representation

Decimal 3230997
Binary 1100010100110100010101 (22 bits)
Octal 0o14246425
Hexadecimal 0x314D15

Divisor Catalog (32)

1 3 7 11 21 33 71 77 197 213 231 497 591 781 1,379 1,491 2,167 2,343 4,137 5,467 6,501 13,987 15,169 16,401 41,961 45,507 97,909 153,857 293,727 461,571 1,076,999 3,230,997

Collatz Trajectory (208 steps to reach 1)

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

3,230,997 9,692,992 4,846,496 2,423,248 1,211,624 605,812 302,906 151,453 454,360 227,180 113,590 56,795 170,386 85,193 255,580 127,790 63,895 191,686 95,843 287,530 143,765 431,296 215,648 107,824 53,912 26,956 13,478 6,739 20,218 10,109 30,328 15,164 7,582 3,791 11,374 5,687 17,062 8,531 25,594 12,797 38,392 19,196 9,598 4,799 14,398 7,199 21,598 10,799 32,398 16,199 48,598 24,299 72,898 36,449 109,348 54,674 27,337 82,012 41,006 20,503

More profiles

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