λ
Sigma Notebook

5,144,472

23 × 34 × 17 × 467
Abundant Even Composite

5,144,472 is even and not a perfect square. Its factorization is 2^3 × 3^4 × 17 × 467 and its 80 divisors sum to 15,289,560.

Prime Factor Structure

Factorization String 2^3 × 3^4 × 17 × 467
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 80
Divisor Sum (σ) 15,289,560
Proper Divisor Sum 10,145,088
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #5144471 ← → #5144483

Radix Representation

Decimal 5144472
Binary 10011100111111110011000 (23 bits)
Octal 0o23477630
Hexadecimal 0x4E7F98

Divisor Catalog (60 of 80)

1 2 3 4 6 8 9 12 17 18 24 27 34 36 51 54 68 72 81 102 108 136 153 162 204 216 306 324 408 459 467 612 648 918 934 1,224 1,377 1,401 1,836 1,868 2,754 2,802 3,672 3,736 4,203 5,508 5,604 7,939 8,406 11,016 11,208 12,609 15,878 16,812 23,817 25,218 31,756 33,624 37,827 47,634

Collatz Trajectory (175 steps to reach 1)

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

5,144,472 2,572,236 1,286,118 643,059 1,929,178 964,589 2,893,768 1,446,884 723,442 361,721 1,085,164 542,582 271,291 813,874 406,937 1,220,812 610,406 305,203 915,610 457,805 1,373,416 686,708 343,354 171,677 515,032 257,516 128,758 64,379 193,138 96,569 289,708 144,854 72,427 217,282 108,641 325,924 162,962 81,481 244,444 122,222 61,111 183,334 91,667 275,002 137,501 412,504 206,252 103,126 51,563 154,690 77,345 232,036 116,018 58,009 174,028 87,014 43,507 130,522 65,261 195,784

More profiles

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