λ
Sigma Notebook

4,576,020

22 × 3 × 5 × 53 × 1439
Abundant Even Composite

4,576,020 is even and not a perfect square. Its factorization is 2^2 × 3 × 5 × 53 × 1439 and its 48 divisors sum to 13,063,680.

Prime Factor Structure

Factorization String 2^2 × 3 × 5 × 53 × 1439
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 13,063,680
Proper Divisor Sum 8,487,660
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #4576001 ← → #4576027

Radix Representation

Decimal 4576020
Binary 10001011101001100010100 (23 bits)
Octal 0o21351424
Hexadecimal 0x45D314

Divisor Catalog (48)

1 2 3 4 5 6 10 12 15 20 30 53 60 106 159 212 265 318 530 636 795 1,060 1,439 1,590 2,878 3,180 4,317 5,756 7,195 8,634 14,390 17,268 21,585 28,780 43,170 76,267 86,340 152,534 228,801 305,068 381,335 457,602 762,670 915,204 1,144,005 1,525,340 2,288,010 4,576,020

Collatz Trajectory (255 steps to reach 1)

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

4,576,020 2,288,010 1,144,005 3,432,016 1,716,008 858,004 429,002 214,501 643,504 321,752 160,876 80,438 40,219 120,658 60,329 180,988 90,494 45,247 135,742 67,871 203,614 101,807 305,422 152,711 458,134 229,067 687,202 343,601 1,030,804 515,402 257,701 773,104 386,552 193,276 96,638 48,319 144,958 72,479 217,438 108,719 326,158 163,079 489,238 244,619 733,858 366,929 1,100,788 550,394 275,197 825,592 412,796 206,398 103,199 309,598 154,799 464,398 232,199 696,598 348,299 1,044,898

More profiles

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