λ
Prime Ledger

2,471,613

3 × 17 × 48463
Deficient Odd Composite

2,471,613 has the prime decomposition 3 × 17 × 48463. Its 3 distinct prime factors produce 8 positive divisors.

Prime Factor Structure

Factorization String 3 × 17 × 48463
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 3,489,408
Proper Divisor Sum 1,017,795
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #2471611 ← → #2471621

Radix Representation

Decimal 2471613
Binary 1001011011011010111101 (22 bits)
Octal 0o11333275
Hexadecimal 0x25B6BD

Divisor Catalog (8)

1 3 17 51 48,463 145,389 823,871 2,471,613

Collatz Trajectory (174 steps to reach 1)

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

2,471,613 7,414,840 3,707,420 1,853,710 926,855 2,780,566 1,390,283 4,170,850 2,085,425 6,256,276 3,128,138 1,564,069 4,692,208 2,346,104 1,173,052 586,526 293,263 879,790 439,895 1,319,686 659,843 1,979,530 989,765 2,969,296 1,484,648 742,324 371,162 185,581 556,744 278,372 139,186 69,593 208,780 104,390 52,195 156,586 78,293 234,880 117,440 58,720 29,360 14,680 7,340 3,670 1,835 5,506 2,753 8,260 4,130 2,065 6,196 3,098 1,549 4,648 2,324 1,162 581 1,744 872 436

More profiles

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