λ
Sigma Notebook

6,146,856

23 × 32 × 59 × 1447
Abundant Even Composite

6,146,856 is even and not a perfect square. Its factorization is 2^3 × 3^2 × 59 × 1447 and its 48 divisors sum to 16,941,600.

Prime Factor Structure

Factorization String 2^3 × 3^2 × 59 × 1447
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 16,941,600
Proper Divisor Sum 10,794,744
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #6146849 ← → #6146867

Radix Representation

Decimal 6146856
Binary 10111011100101100101000 (23 bits)
Octal 0o27345450
Hexadecimal 0x5DCB28

Divisor Catalog (48)

1 2 3 4 6 8 9 12 18 24 36 59 72 118 177 236 354 472 531 708 1,062 1,416 1,447 2,124 2,894 4,248 4,341 5,788 8,682 11,576 13,023 17,364 26,046 34,728 52,092 85,373 104,184 170,746 256,119 341,492 512,238 682,984 768,357 1,024,476 1,536,714 2,048,952 3,073,428 6,146,856

Collatz Trajectory (196 steps to reach 1)

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

6,146,856 3,073,428 1,536,714 768,357 2,305,072 1,152,536 576,268 288,134 144,067 432,202 216,101 648,304 324,152 162,076 81,038 40,519 121,558 60,779 182,338 91,169 273,508 136,754 68,377 205,132 102,566 51,283 153,850 76,925 230,776 115,388 57,694 28,847 86,542 43,271 129,814 64,907 194,722 97,361 292,084 146,042 73,021 219,064 109,532 54,766 27,383 82,150 41,075 123,226 61,613 184,840 92,420 46,210 23,105 69,316 34,658 17,329 51,988 25,994 12,997 38,992

More profiles

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