λ
Sigma Notebook

2,197,691

59 × 1932
Deficient Odd Composite

2,197,691 is odd and not a perfect square. Its factorization is 59 × 193^2 and its 6 divisors sum to 2,246,580.

Prime Factor Structure

Factorization String 59 × 193^2
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 6
Divisor Sum (σ) 2,246,580
Proper Divisor Sum 48,889
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #2197681 ← → #2197693

Radix Representation

Decimal 2197691
Binary 1000011000100010111011 (22 bits)
Octal 0o10304273
Hexadecimal 0x2188BB

Divisor Catalog (6)

1 59 193 11,387 37,249 2,197,691

Collatz Trajectory (117 steps to reach 1)

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

2,197,691 6,593,074 3,296,537 9,889,612 4,944,806 2,472,403 7,417,210 3,708,605 11,125,816 5,562,908 2,781,454 1,390,727 4,172,182 2,086,091 6,258,274 3,129,137 9,387,412 4,693,706 2,346,853 7,040,560 3,520,280 1,760,140 880,070 440,035 1,320,106 660,053 1,980,160 990,080 495,040 247,520 123,760 61,880 30,940 15,470 7,735 23,206 11,603 34,810 17,405 52,216 26,108 13,054 6,527 19,582 9,791 29,374 14,687 44,062 22,031 66,094 33,047 99,142 49,571 148,714 74,357 223,072 111,536 55,768 27,884 13,942

More profiles

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