λ
Sigma Notebook

5,064,108

22 × 3 × 7 × 192 × 167
Abundant Even Composite

5,064,108 is even and not a perfect square. Its factorization is 2^2 × 3 × 7 × 19^2 × 167 and its 72 divisors sum to 14,337,792.

Prime Factor Structure

Factorization String 2^2 × 3 × 7 × 19^2 × 167
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 72
Divisor Sum (σ) 14,337,792
Proper Divisor Sum 9,273,684
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #5064091 ← → #5064119

Radix Representation

Decimal 5064108
Binary 10011010100010110101100 (23 bits)
Octal 0o23242654
Hexadecimal 0x4D45AC

Divisor Catalog (60 of 72)

1 2 3 4 6 7 12 14 19 21 28 38 42 57 76 84 114 133 167 228 266 334 361 399 501 532 668 722 798 1,002 1,083 1,169 1,444 1,596 2,004 2,166 2,338 2,527 3,173 3,507 4,332 4,676 5,054 6,346 7,014 7,581 9,519 10,108 12,692 14,028 15,162 19,038 22,211 30,324 38,076 44,422 60,287 66,633 88,844 120,574

Collatz Trajectory (82 steps to reach 1)

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

5,064,108 2,532,054 1,266,027 3,798,082 1,899,041 5,697,124 2,848,562 1,424,281 4,272,844 2,136,422 1,068,211 3,204,634 1,602,317 4,806,952 2,403,476 1,201,738 600,869 1,802,608 901,304 450,652 225,326 112,663 337,990 168,995 506,986 253,493 760,480 380,240 190,120 95,060 47,530 23,765 71,296 35,648 17,824 8,912 4,456 2,228 1,114 557 1,672 836 418 209 628 314 157 472 236 118 59 178 89 268 134 67 202 101 304 152

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