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Atlas › Integer Profiles › Node 25,711,168

25,711,168

26 × 7 × 29 × 1979
Abundant Even Composite

25,711,168 factors as 2^6 × 7 × 29 × 1979. Its 56 positive divisors give a proper-divisor sum of 34,639,232, so this integer is abundant. The Collatz stopping time is 123 steps.

Prime Factor Structure

Factorization String 2^6 × 7 × 29 × 1979
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 56
Divisor Sum (σ) 60,350,400
Proper Divisor Sum 34,639,232
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #25711163 ← → #25711177

Radix Representation

Decimal 25711168
Binary 1100010000101001001000000 (25 bits)
Octal 0o142051100
Hexadecimal 0x1885240

Divisor Catalog (56)

1 2 4 7 8 14 16 28 29 32 56 58 64 112 116 203 224 232 406 448 464 812 928 1,624 1,856 1,979 3,248 3,958 6,496 7,916 12,992 13,853 15,832 27,706 31,664 55,412 57,391 63,328 110,824 114,782 126,656 221,648 229,564 401,737 443,296 459,128 803,474 886,592 918,256 1,606,948 1,836,512 3,213,896 3,673,024 6,427,792 12,855,584 25,711,168

Collatz Trajectory (123 steps to reach 1)

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

25,711,168 12,855,584 6,427,792 3,213,896 1,606,948 803,474 401,737 1,205,212 602,606 301,303 903,910 451,955 1,355,866 677,933 2,033,800 1,016,900 508,450 254,225 762,676 381,338 190,669 572,008 286,004 143,002 71,501 214,504 107,252 53,626 26,813 80,440 40,220 20,110 10,055 30,166 15,083 45,250 22,625 67,876 33,938 16,969 50,908 25,454 12,727 38,182 19,091 57,274 28,637 85,912 42,956 21,478 10,739 32,218 16,109 48,328 24,164 12,082 6,041 18,124 9,062 4,531

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