λ
Prime Ledger

3,107,612

22 × 599 × 1297
Deficient Even Composite

3,107,612 has the prime decomposition 2^2 × 599 × 1297. Its 3 distinct prime factors produce 12 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 599 × 1297
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 5,451,600
Proper Divisor Sum 2,343,988
Digit Sum / Digital Root 20 (Root: 2)
Adjacent Primes #3107609 ← → #3107633

Radix Representation

Decimal 3107612
Binary 1011110110101100011100 (22 bits)
Octal 0o13665434
Hexadecimal 0x2F6B1C

Divisor Catalog (12)

1 2 4 599 1,198 1,297 2,396 2,594 5,188 776,903 1,553,806 3,107,612

Collatz Trajectory (257 steps to reach 1)

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

3,107,612 1,553,806 776,903 2,330,710 1,165,355 3,496,066 1,748,033 5,244,100 2,622,050 1,311,025 3,933,076 1,966,538 983,269 2,949,808 1,474,904 737,452 368,726 184,363 553,090 276,545 829,636 414,818 207,409 622,228 311,114 155,557 466,672 233,336 116,668 58,334 29,167 87,502 43,751 131,254 65,627 196,882 98,441 295,324 147,662 73,831 221,494 110,747 332,242 166,121 498,364 249,182 124,591 373,774 186,887 560,662 280,331 840,994 420,497 1,261,492 630,746 315,373 946,120 473,060 236,530 118,265

More profiles

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