λ
Prime Ledger

2,475,708

22 × 3 × 103 × 2003
Abundant Even Composite

2,475,708 has the prime decomposition 2^2 × 3 × 103 × 2003. Its 4 distinct prime factors produce 24 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3 × 103 × 2003
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 5,835,648
Proper Divisor Sum 3,359,940
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #2475689 ← → #2475709

Radix Representation

Decimal 2475708
Binary 1001011100011010111100 (22 bits)
Octal 0o11343274
Hexadecimal 0x25C6BC

Divisor Catalog (24)

1 2 3 4 6 12 103 206 309 412 618 1,236 2,003 4,006 6,009 8,012 12,018 24,036 206,309 412,618 618,927 825,236 1,237,854 2,475,708

Collatz Trajectory (81 steps to reach 1)

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

2,475,708 1,237,854 618,927 1,856,782 928,391 2,785,174 1,392,587 4,177,762 2,088,881 6,266,644 3,133,322 1,566,661 4,699,984 2,349,992 1,174,996 587,498 293,749 881,248 440,624 220,312 110,156 55,078 27,539 82,618 41,309 123,928 61,964 30,982 15,491 46,474 23,237 69,712 34,856 17,428 8,714 4,357 13,072 6,536 3,268 1,634 817 2,452 1,226 613 1,840 920 460 230 115 346 173 520 260 130 65 196 98 49 148 74

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