λ
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Atlas › Integer Profiles › Node 1,213,596

1,213,596

22 × 33 × 17 × 661
Abundant Even Composite

1,213,596 factors as 2^2 × 3^3 × 17 × 661. Its 48 positive divisors give a proper-divisor sum of 2,122,884, so this integer is abundant. The Collatz stopping time is 204 steps.

Prime Factor Structure

Factorization String 2^2 × 3^3 × 17 × 661
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 3,336,480
Proper Divisor Sum 2,122,884
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #1213591 ← → #1213601

Radix Representation

Decimal 1213596
Binary 100101000010010011100 (21 bits)
Octal 0o4502234
Hexadecimal 0x12849C

Divisor Catalog (48)

1 2 3 4 6 9 12 17 18 27 34 36 51 54 68 102 108 153 204 306 459 612 661 918 1,322 1,836 1,983 2,644 3,966 5,949 7,932 11,237 11,898 17,847 22,474 23,796 33,711 35,694 44,948 67,422 71,388 101,133 134,844 202,266 303,399 404,532 606,798 1,213,596

Collatz Trajectory (204 steps to reach 1)

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

1,213,596 606,798 303,399 910,198 455,099 1,365,298 682,649 2,047,948 1,023,974 511,987 1,535,962 767,981 2,303,944 1,151,972 575,986 287,993 863,980 431,990 215,995 647,986 323,993 971,980 485,990 242,995 728,986 364,493 1,093,480 546,740 273,370 136,685 410,056 205,028 102,514 51,257 153,772 76,886 38,443 115,330 57,665 172,996 86,498 43,249 129,748 64,874 32,437 97,312 48,656 24,328 12,164 6,082 3,041 9,124 4,562 2,281 6,844 3,422 1,711 5,134 2,567 7,702

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