λ
Integer Codex

1,056,594

2 × 3 × 7 × 11 × 2287
Abundant Even Composite

For 1,056,594, the 32 positive divisors have a total of 2,635,776. Removing 1,056,594 leaves 1,579,182, which gives the abundant classification.

Prime Factor Structure

Factorization String 2 × 3 × 7 × 11 × 2287
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 2,635,776
Proper Divisor Sum 1,579,182
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #1056589 ← → #1056599

Radix Representation

Decimal 1056594
Binary 100000001111101010010 (21 bits)
Octal 0o4017522
Hexadecimal 0x101F52

Divisor Catalog (32)

1 2 3 6 7 11 14 21 22 33 42 66 77 154 231 462 2,287 4,574 6,861 13,722 16,009 25,157 32,018 48,027 50,314 75,471 96,054 150,942 176,099 352,198 528,297 1,056,594

Collatz Trajectory (126 steps to reach 1)

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

1,056,594 528,297 1,584,892 792,446 396,223 1,188,670 594,335 1,783,006 891,503 2,674,510 1,337,255 4,011,766 2,005,883 6,017,650 3,008,825 9,026,476 4,513,238 2,256,619 6,769,858 3,384,929 10,154,788 5,077,394 2,538,697 7,616,092 3,808,046 1,904,023 5,712,070 2,856,035 8,568,106 4,284,053 12,852,160 6,426,080 3,213,040 1,606,520 803,260 401,630 200,815 602,446 301,223 903,670 451,835 1,355,506 677,753 2,033,260 1,016,630 508,315 1,524,946 762,473 2,287,420 1,143,710 571,855 1,715,566 857,783 2,573,350 1,286,675 3,860,026 1,930,013 5,790,040 2,895,020 1,447,510

More profiles

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