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Atlas › Integer Profiles › Node 25,323,936

25,323,936

25 × 3 × 11 × 23981
Abundant Even Composite

25,323,936 factors as 2^5 × 3 × 11 × 23981. Its 48 positive divisors give a proper-divisor sum of 47,197,632, so this integer is abundant. The Collatz stopping time is 105 steps.

Prime Factor Structure

Factorization String 2^5 × 3 × 11 × 23981
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 72,521,568
Proper Divisor Sum 47,197,632
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #25323917 ← → #25323959

Radix Representation

Decimal 25323936
Binary 1100000100110100110100000 (25 bits)
Octal 0o140464640
Hexadecimal 0x18269A0

Divisor Catalog (48)

1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 352 528 1,056 23,981 47,962 71,943 95,924 143,886 191,848 263,791 287,772 383,696 527,582 575,544 767,392 791,373 1,055,164 1,151,088 1,582,746 2,110,328 2,302,176 3,165,492 4,220,656 6,330,984 8,441,312 12,661,968 25,323,936

Collatz Trajectory (105 steps to reach 1)

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

25,323,936 12,661,968 6,330,984 3,165,492 1,582,746 791,373 2,374,120 1,187,060 593,530 296,765 890,296 445,148 222,574 111,287 333,862 166,931 500,794 250,397 751,192 375,596 187,798 93,899 281,698 140,849 422,548 211,274 105,637 316,912 158,456 79,228 39,614 19,807 59,422 29,711 89,134 44,567 133,702 66,851 200,554 100,277 300,832 150,416 75,208 37,604 18,802 9,401 28,204 14,102 7,051 21,154 10,577 31,732 15,866 7,933 23,800 11,900 5,950 2,975 8,926 4,463

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