λ
Sigma Notebook

5,689,016

23 × 17 × 59 × 709
Abundant Even Composite

5,689,016 is even and not a perfect square. Its factorization is 2^3 × 17 × 59 × 709 and its 32 divisors sum to 11,502,000.

Prime Factor Structure

Factorization String 2^3 × 17 × 59 × 709
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 11,502,000
Proper Divisor Sum 5,812,984
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #5689007 ← → #5689039

Radix Representation

Decimal 5689016
Binary 10101101100111010111000 (23 bits)
Octal 0o25547270
Hexadecimal 0x56CEB8

Divisor Catalog (32)

1 2 4 8 17 34 59 68 118 136 236 472 709 1,003 1,418 2,006 2,836 4,012 5,672 8,024 12,053 24,106 41,831 48,212 83,662 96,424 167,324 334,648 711,127 1,422,254 2,844,508 5,689,016

Collatz Trajectory (245 steps to reach 1)

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

5,689,016 2,844,508 1,422,254 711,127 2,133,382 1,066,691 3,200,074 1,600,037 4,800,112 2,400,056 1,200,028 600,014 300,007 900,022 450,011 1,350,034 675,017 2,025,052 1,012,526 506,263 1,518,790 759,395 2,278,186 1,139,093 3,417,280 1,708,640 854,320 427,160 213,580 106,790 53,395 160,186 80,093 240,280 120,140 60,070 30,035 90,106 45,053 135,160 67,580 33,790 16,895 50,686 25,343 76,030 38,015 114,046 57,023 171,070 85,535 256,606 128,303 384,910 192,455 577,366 288,683 866,050 433,025 1,299,076

More profiles

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