λ
Prime Ledger

2,940,314

2 × 13 × 113089
Deficient Even Composite

2,940,314 has the prime decomposition 2 × 13 × 113089. Its 3 distinct prime factors produce 8 positive divisors.

Prime Factor Structure

Factorization String 2 × 13 × 113089
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 4,749,780
Proper Divisor Sum 1,809,466
Digit Sum / Digital Root 23 (Root: 5)
Adjacent Primes #2940313 ← → #2940317

Radix Representation

Decimal 2940314
Binary 1011001101110110011010 (22 bits)
Octal 0o13156632
Hexadecimal 0x2CDD9A

Divisor Catalog (8)

1 2 13 26 113,089 226,178 1,470,157 2,940,314

Collatz Trajectory (76 steps to reach 1)

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

2,940,314 1,470,157 4,410,472 2,205,236 1,102,618 551,309 1,653,928 826,964 413,482 206,741 620,224 310,112 155,056 77,528 38,764 19,382 9,691 29,074 14,537 43,612 21,806 10,903 32,710 16,355 49,066 24,533 73,600 36,800 18,400 9,200 4,600 2,300 1,150 575 1,726 863 2,590 1,295 3,886 1,943 5,830 2,915 8,746 4,373 13,120 6,560 3,280 1,640 820 410 205 616 308 154 77 232 116 58 29 88

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