λ
Sigma Notebook

5,065,480

23 × 5 × 7 × 79 × 229
Abundant Even Composite

5,065,480 is even and not a perfect square. Its factorization is 2^3 × 5 × 7 × 79 × 229 and its 64 divisors sum to 13,248,000.

Prime Factor Structure

Factorization String 2^3 × 5 × 7 × 79 × 229
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 13,248,000
Proper Divisor Sum 8,182,520
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #5065471 ← → #5065481

Radix Representation

Decimal 5065480
Binary 10011010100101100001000 (23 bits)
Octal 0o23245410
Hexadecimal 0x4D4B08

Divisor Catalog (60 of 64)

1 2 4 5 7 8 10 14 20 28 35 40 56 70 79 140 158 229 280 316 395 458 553 632 790 916 1,106 1,145 1,580 1,603 1,832 2,212 2,290 2,765 3,160 3,206 4,424 4,580 5,530 6,412 8,015 9,160 11,060 12,824 16,030 18,091 22,120 32,060 36,182 64,120 72,364 90,455 126,637 144,728 180,910 253,274 361,820 506,548 633,185 723,640

Collatz Trajectory (157 steps to reach 1)

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

5,065,480 2,532,740 1,266,370 633,185 1,899,556 949,778 474,889 1,424,668 712,334 356,167 1,068,502 534,251 1,602,754 801,377 2,404,132 1,202,066 601,033 1,803,100 901,550 450,775 1,352,326 676,163 2,028,490 1,014,245 3,042,736 1,521,368 760,684 380,342 190,171 570,514 285,257 855,772 427,886 213,943 641,830 320,915 962,746 481,373 1,444,120 722,060 361,030 180,515 541,546 270,773 812,320 406,160 203,080 101,540 50,770 25,385 76,156 38,078 19,039 57,118 28,559 85,678 42,839 128,518 64,259 192,778

More profiles

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