λ
Prime Ledger

3,287,349

32 × 13 × 28097
Deficient Odd Composite

3,287,349 has the prime decomposition 3^2 × 13 × 28097. Its 3 distinct prime factors produce 12 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 13 × 28097
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 5,113,836
Proper Divisor Sum 1,826,487
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #3287329 ← → #3287359

Radix Representation

Decimal 3287349
Binary 1100100010100100110101 (22 bits)
Octal 0o14424465
Hexadecimal 0x322935

Divisor Catalog (12)

1 3 9 13 39 117 28,097 84,291 252,873 365,261 1,095,783 3,287,349

Collatz Trajectory (84 steps to reach 1)

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

3,287,349 9,862,048 4,931,024 2,465,512 1,232,756 616,378 308,189 924,568 462,284 231,142 115,571 346,714 173,357 520,072 260,036 130,018 65,009 195,028 97,514 48,757 146,272 73,136 36,568 18,284 9,142 4,571 13,714 6,857 20,572 10,286 5,143 15,430 7,715 23,146 11,573 34,720 17,360 8,680 4,340 2,170 1,085 3,256 1,628 814 407 1,222 611 1,834 917 2,752 1,376 688 344 172 86 43 130 65 196 98

More profiles

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