λ
Prime Ledger

3,120,469

112 × 17 × 37 × 41
Deficient Odd Composite

3,120,469 has the prime decomposition 11^2 × 17 × 37 × 41. Its 4 distinct prime factors produce 24 positive divisors.

Prime Factor Structure

Factorization String 11^2 × 17 × 37 × 41
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 3,820,824
Proper Divisor Sum 700,355
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #3120463 ← → #3120473

Radix Representation

Decimal 3120469
Binary 1011111001110101010101 (22 bits)
Octal 0o13716525
Hexadecimal 0x2F9D55

Divisor Catalog (24)

1 11 17 37 41 121 187 407 451 629 697 1,517 2,057 4,477 4,961 6,919 7,667 16,687 25,789 76,109 84,337 183,557 283,679 3,120,469

Collatz Trajectory (71 steps to reach 1)

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

3,120,469 9,361,408 4,680,704 2,340,352 1,170,176 585,088 292,544 146,272 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 49 148 74 37 112 56 28 14 7 22 11 34 17

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