λ
Sigma Notebook

1,155,231

32 × 7 × 11 × 1667
Deficient Odd Composite

1,155,231 is odd and not a perfect square. Its factorization is 3^2 × 7 × 11 × 1667 and its 24 divisors sum to 2,081,664.

Prime Factor Structure

Factorization String 3^2 × 7 × 11 × 1667
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 2,081,664
Proper Divisor Sum 926,433
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #1155223 ← → #1155233

Radix Representation

Decimal 1155231
Binary 100011010000010011111 (21 bits)
Octal 0o4320237
Hexadecimal 0x11A09F

Divisor Catalog (24)

1 3 7 9 11 21 33 63 77 99 231 693 1,667 5,001 11,669 15,003 18,337 35,007 55,011 105,021 128,359 165,033 385,077 1,155,231

Collatz Trajectory (222 steps to reach 1)

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

1,155,231 3,465,694 1,732,847 5,198,542 2,599,271 7,797,814 3,898,907 11,696,722 5,848,361 17,545,084 8,772,542 4,386,271 13,158,814 6,579,407 19,738,222 9,869,111 29,607,334 14,803,667 44,411,002 22,205,501 66,616,504 33,308,252 16,654,126 8,327,063 24,981,190 12,490,595 37,471,786 18,735,893 56,207,680 28,103,840 14,051,920 7,025,960 3,512,980 1,756,490 878,245 2,634,736 1,317,368 658,684 329,342 164,671 494,014 247,007 741,022 370,511 1,111,534 555,767 1,667,302 833,651 2,500,954 1,250,477 3,751,432 1,875,716 937,858 468,929 1,406,788 703,394 351,697 1,055,092 527,546 263,773

More profiles

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