λ
Sigma Notebook

4,855,760

24 × 5 × 7 × 13 × 23 × 29
Abundant Even Composite

4,855,760 is even and not a perfect square. Its factorization is 2^4 × 5 × 7 × 13 × 23 × 29 and its 160 divisors sum to 14,999,040.

Prime Factor Structure

Factorization String 2^4 × 5 × 7 × 13 × 23 × 29
Distinct Prime Factors 6
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 160
Divisor Sum (σ) 14,999,040
Proper Divisor Sum 10,143,280
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #4855717 ← → #4855787

Radix Representation

Decimal 4855760
Binary 10010100001011111010000 (23 bits)
Octal 0o22413720
Hexadecimal 0x4A17D0

Divisor Catalog (60 of 160)

1 2 4 5 7 8 10 13 14 16 20 23 26 28 29 35 40 46 52 56 58 65 70 80 91 92 104 112 115 116 130 140 145 161 182 184 203 208 230 232 260 280 290 299 322 364 368 377 406 455 460 464 520 560 580 598 644 667 728 754

Collatz Trajectory (198 steps to reach 1)

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

4,855,760 2,427,880 1,213,940 606,970 303,485 910,456 455,228 227,614 113,807 341,422 170,711 512,134 256,067 768,202 384,101 1,152,304 576,152 288,076 144,038 72,019 216,058 108,029 324,088 162,044 81,022 40,511 121,534 60,767 182,302 91,151 273,454 136,727 410,182 205,091 615,274 307,637 922,912 461,456 230,728 115,364 57,682 28,841 86,524 43,262 21,631 64,894 32,447 97,342 48,671 146,014 73,007 219,022 109,511 328,534 164,267 492,802 246,401 739,204 369,602 184,801

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