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Atlas › Integer Profiles › Node 24,666,820

24,666,820

22 × 5 × 29 × 71 × 599
Abundant Even Composite

24,666,820 factors as 2^2 × 5 × 29 × 71 × 599. Its 48 positive divisors give a proper-divisor sum of 29,765,180, so this integer is abundant. The Collatz stopping time is 110 steps.

Prime Factor Structure

Factorization String 2^2 × 5 × 29 × 71 × 599
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 54,432,000
Proper Divisor Sum 29,765,180
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #24666799 ← → #24666823

Radix Representation

Decimal 24666820
Binary 1011110000110001011000100 (25 bits)
Octal 0o136061304
Hexadecimal 0x17862C4

Divisor Catalog (48)

1 2 4 5 10 20 29 58 71 116 142 145 284 290 355 580 599 710 1,198 1,420 2,059 2,396 2,995 4,118 5,990 8,236 10,295 11,980 17,371 20,590 34,742 41,180 42,529 69,484 85,058 86,855 170,116 173,710 212,645 347,420 425,290 850,580 1,233,341 2,466,682 4,933,364 6,166,705 12,333,410 24,666,820

Collatz Trajectory (110 steps to reach 1)

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

24,666,820 12,333,410 6,166,705 18,500,116 9,250,058 4,625,029 13,875,088 6,937,544 3,468,772 1,734,386 867,193 2,601,580 1,300,790 650,395 1,951,186 975,593 2,926,780 1,463,390 731,695 2,195,086 1,097,543 3,292,630 1,646,315 4,938,946 2,469,473 7,408,420 3,704,210 1,852,105 5,556,316 2,778,158 1,389,079 4,167,238 2,083,619 6,250,858 3,125,429 9,376,288 4,688,144 2,344,072 1,172,036 586,018 293,009 879,028 439,514 219,757 659,272 329,636 164,818 82,409 247,228 123,614 61,807 185,422 92,711 278,134 139,067 417,202 208,601 625,804 312,902 156,451

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