λ
Sigma Notebook

1,113,660

22 × 32 × 5 × 23 × 269
Abundant Even Composite

1,113,660 is even and not a perfect square. Its factorization is 2^2 × 3^2 × 5 × 23 × 269 and its 72 divisors sum to 3,538,080.

Prime Factor Structure

Factorization String 2^2 × 3^2 × 5 × 23 × 269
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 72
Divisor Sum (σ) 3,538,080
Proper Divisor Sum 2,424,420
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #1113643 ← → #1113667

Radix Representation

Decimal 1113660
Binary 100001111111000111100 (21 bits)
Octal 0o4177074
Hexadecimal 0x10FE3C

Divisor Catalog (60 of 72)

1 2 3 4 5 6 9 10 12 15 18 20 23 30 36 45 46 60 69 90 92 115 138 180 207 230 269 276 345 414 460 538 690 807 828 1,035 1,076 1,345 1,380 1,614 2,070 2,421 2,690 3,228 4,035 4,140 4,842 5,380 6,187 8,070 9,684 12,105 12,374 16,140 18,561 24,210 24,748 30,935 37,122 48,420

Collatz Trajectory (116 steps to reach 1)

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

1,113,660 556,830 278,415 835,246 417,623 1,252,870 626,435 1,879,306 939,653 2,818,960 1,409,480 704,740 352,370 176,185 528,556 264,278 132,139 396,418 198,209 594,628 297,314 148,657 445,972 222,986 111,493 334,480 167,240 83,620 41,810 20,905 62,716 31,358 15,679 47,038 23,519 70,558 35,279 105,838 52,919 158,758 79,379 238,138 119,069 357,208 178,604 89,302 44,651 133,954 66,977 200,932 100,466 50,233 150,700 75,350 37,675 113,026 56,513 169,540 84,770 42,385

More profiles

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