λ
Integer Codex

1,113,540

22 × 3 × 5 × 67 × 277
Abundant Even Composite

For 1,113,540, the 48 positive divisors have a total of 3,175,872. Removing 1,113,540 leaves 2,062,332, which gives the abundant classification.

Prime Factor Structure

Factorization String 2^2 × 3 × 5 × 67 × 277
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 3,175,872
Proper Divisor Sum 2,062,332
Digit Sum / Digital Root 15 (Root: 6)
Adjacent Primes #1113527 ← → #1113557

Radix Representation

Decimal 1113540
Binary 100001111110111000100 (21 bits)
Octal 0o4176704
Hexadecimal 0x10FDC4

Divisor Catalog (48)

1 2 3 4 5 6 10 12 15 20 30 60 67 134 201 268 277 335 402 554 670 804 831 1,005 1,108 1,340 1,385 1,662 2,010 2,770 3,324 4,020 4,155 5,540 8,310 16,620 18,559 37,118 55,677 74,236 92,795 111,354 185,590 222,708 278,385 371,180 556,770 1,113,540

Collatz Trajectory (209 steps to reach 1)

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

1,113,540 556,770 278,385 835,156 417,578 208,789 626,368 313,184 156,592 78,296 39,148 19,574 9,787 29,362 14,681 44,044 22,022 11,011 33,034 16,517 49,552 24,776 12,388 6,194 3,097 9,292 4,646 2,323 6,970 3,485 10,456 5,228 2,614 1,307 3,922 1,961 5,884 2,942 1,471 4,414 2,207 6,622 3,311 9,934 4,967 14,902 7,451 22,354 11,177 33,532 16,766 8,383 25,150 12,575 37,726 18,863 56,590 28,295 84,886 42,443

More profiles

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