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Atlas › Integer Profiles › Node 25,308,448

25,308,448

25 × 11 × 71899
Abundant Even Composite

25,308,448 factors as 2^5 × 11 × 71899. Its 24 positive divisors give a proper-divisor sum of 29,047,952, so this integer is abundant. The Collatz stopping time is 273 steps.

Prime Factor Structure

Factorization String 2^5 × 11 × 71899
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 54,356,400
Proper Divisor Sum 29,047,952
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #25308403 ← → #25308449

Radix Representation

Decimal 25308448
Binary 1100000100010110100100000 (25 bits)
Octal 0o140426440
Hexadecimal 0x1822D20

Divisor Catalog (24)

1 2 4 8 11 16 22 32 44 88 176 352 71,899 143,798 287,596 575,192 790,889 1,150,384 1,581,778 2,300,768 3,163,556 6,327,112 12,654,224 25,308,448

Collatz Trajectory (273 steps to reach 1)

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

25,308,448 12,654,224 6,327,112 3,163,556 1,581,778 790,889 2,372,668 1,186,334 593,167 1,779,502 889,751 2,669,254 1,334,627 4,003,882 2,001,941 6,005,824 3,002,912 1,501,456 750,728 375,364 187,682 93,841 281,524 140,762 70,381 211,144 105,572 52,786 26,393 79,180 39,590 19,795 59,386 29,693 89,080 44,540 22,270 11,135 33,406 16,703 50,110 25,055 75,166 37,583 112,750 56,375 169,126 84,563 253,690 126,845 380,536 190,268 95,134 47,567 142,702 71,351 214,054 107,027 321,082 160,541

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