λ
Prime Ledger

1,231,074

2 × 32 × 13 × 5261
Abundant Even Composite

1,231,074 has the prime decomposition 2 × 3^2 × 13 × 5261. Its 4 distinct prime factors produce 24 positive divisors.

Prime Factor Structure

Factorization String 2 × 3^2 × 13 × 5261
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 2,873,052
Proper Divisor Sum 1,641,978
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #1231073 ← → #1231091

Radix Representation

Decimal 1231074
Binary 100101100100011100010 (21 bits)
Octal 0o4544342
Hexadecimal 0x12C8E2

Divisor Catalog (24)

1 2 3 6 9 13 18 26 39 78 117 234 5,261 10,522 15,783 31,566 47,349 68,393 94,698 136,786 205,179 410,358 615,537 1,231,074

Collatz Trajectory (54 steps to reach 1)

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

1,231,074 615,537 1,846,612 923,306 461,653 1,384,960 692,480 346,240 173,120 86,560 43,280 21,640 10,820 5,410 2,705 8,116 4,058 2,029 6,088 3,044 1,522 761 2,284 1,142 571 1,714 857 2,572 1,286 643 1,930 965 2,896 1,448 724 362 181 544 272 136 68 34 17 52 26 13 40 20 10 5 16 8 4 2 1

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