λ
Prime Ledger

3,191,264

25 × 31 × 3217
Abundant Even Composite

3,191,264 has the prime decomposition 2^5 × 31 × 3217. Its 3 distinct prime factors produce 24 positive divisors.

Prime Factor Structure

Factorization String 2^5 × 31 × 3217
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 6,487,488
Proper Divisor Sum 3,296,224
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #3191263 ← → #3191281

Radix Representation

Decimal 3191264
Binary 1100001011000111100000 (22 bits)
Octal 0o14130740
Hexadecimal 0x30B1E0

Divisor Catalog (24)

1 2 4 8 16 31 32 62 124 248 496 992 3,217 6,434 12,868 25,736 51,472 99,727 102,944 199,454 398,908 797,816 1,595,632 3,191,264

Collatz Trajectory (120 steps to reach 1)

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

3,191,264 1,595,632 797,816 398,908 199,454 99,727 299,182 149,591 448,774 224,387 673,162 336,581 1,009,744 504,872 252,436 126,218 63,109 189,328 94,664 47,332 23,666 11,833 35,500 17,750 8,875 26,626 13,313 39,940 19,970 9,985 29,956 14,978 7,489 22,468 11,234 5,617 16,852 8,426 4,213 12,640 6,320 3,160 1,580 790 395 1,186 593 1,780 890 445 1,336 668 334 167 502 251 754 377 1,132 566

More profiles

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