λ
Ratio Atlas

1,191,918

2 × 3 × 7 × 13 × 37 × 59
Abundant Even Composite

1,191,918 factors as 2 × 3 × 7 × 13 × 37 × 59. Its 64 positive divisors give a proper-divisor sum of 1,872,402, so this integer is abundant. The Collatz stopping time is 297 steps.

Prime Factor Structure

Factorization String 2 × 3 × 7 × 13 × 37 × 59
Distinct Prime Factors 6
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 3,064,320
Proper Divisor Sum 1,872,402
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #1191899 ← → #1191923

Radix Representation

Decimal 1191918
Binary 100100010111111101110 (21 bits)
Octal 0o4427756
Hexadecimal 0x122FEE

Divisor Catalog (60 of 64)

1 2 3 6 7 13 14 21 26 37 39 42 59 74 78 91 111 118 177 182 222 259 273 354 413 481 518 546 767 777 826 962 1,239 1,443 1,534 1,554 2,183 2,301 2,478 2,886 3,367 4,366 4,602 5,369 6,549 6,734 10,101 10,738 13,098 15,281 16,107 20,202 28,379 30,562 32,214 45,843 56,758 85,137 91,686 170,274

Collatz Trajectory (297 steps to reach 1)

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

1,191,918 595,959 1,787,878 893,939 2,681,818 1,340,909 4,022,728 2,011,364 1,005,682 502,841 1,508,524 754,262 377,131 1,131,394 565,697 1,697,092 848,546 424,273 1,272,820 636,410 318,205 954,616 477,308 238,654 119,327 357,982 178,991 536,974 268,487 805,462 402,731 1,208,194 604,097 1,812,292 906,146 453,073 1,359,220 679,610 339,805 1,019,416 509,708 254,854 127,427 382,282 191,141 573,424 286,712 143,356 71,678 35,839 107,518 53,759 161,278 80,639 241,918 120,959 362,878 181,439 544,318 272,159

More profiles

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