λ
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Atlas › Integer Profiles › Node 24,677,900

24,677,900

22 × 52 × 13 × 41 × 463
Abundant Even Composite

24,677,900 factors as 2^2 × 5^2 × 13 × 41 × 463. Its 72 positive divisors give a proper-divisor sum of 34,526,644, so this integer is abundant. The Collatz stopping time is 141 steps.

Prime Factor Structure

Factorization String 2^2 × 5^2 × 13 × 41 × 463
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 72
Divisor Sum (σ) 59,204,544
Proper Divisor Sum 34,526,644
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #24677899 ← → #24677923

Radix Representation

Decimal 24677900
Binary 1011110001000111000001100 (25 bits)
Octal 0o136107014
Hexadecimal 0x1788E0C

Divisor Catalog (60 of 72)

1 2 4 5 10 13 20 25 26 41 50 52 65 82 100 130 164 205 260 325 410 463 533 650 820 926 1,025 1,066 1,300 1,852 2,050 2,132 2,315 2,665 4,100 4,630 5,330 6,019 9,260 10,660 11,575 12,038 13,325 18,983 23,150 24,076 26,650 30,095 37,966 46,300 53,300 60,190 75,932 94,915 120,380 150,475 189,830 246,779 300,950 379,660

Collatz Trajectory (141 steps to reach 1)

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

24,677,900 12,338,950 6,169,475 18,508,426 9,254,213 27,762,640 13,881,320 6,940,660 3,470,330 1,735,165 5,205,496 2,602,748 1,301,374 650,687 1,952,062 976,031 2,928,094 1,464,047 4,392,142 2,196,071 6,588,214 3,294,107 9,882,322 4,941,161 14,823,484 7,411,742 3,705,871 11,117,614 5,558,807 16,676,422 8,338,211 25,014,634 12,507,317 37,521,952 18,760,976 9,380,488 4,690,244 2,345,122 1,172,561 3,517,684 1,758,842 879,421 2,638,264 1,319,132 659,566 329,783 989,350 494,675 1,484,026 742,013 2,226,040 1,113,020 556,510 278,255 834,766 417,383 1,252,150 626,075 1,878,226 939,113

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