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Atlas › Integer Profiles › Node 25,520,128

25,520,128

211 × 17 × 733
Abundant Even Composite

25,520,128 factors as 2^11 × 17 × 733. Its 48 positive divisors give a proper-divisor sum of 28,583,012, so this integer is abundant. The Collatz stopping time is 74 steps.

Prime Factor Structure

Factorization String 2^11 × 17 × 733
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 54,103,140
Proper Divisor Sum 28,583,012
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #25520123 ← → #25520129

Radix Representation

Decimal 25520128
Binary 1100001010110100000000000 (25 bits)
Octal 0o141264000
Hexadecimal 0x1856800

Divisor Catalog (48)

1 2 4 8 16 17 32 34 64 68 128 136 256 272 512 544 733 1,024 1,088 1,466 2,048 2,176 2,932 4,352 5,864 8,704 11,728 12,461 17,408 23,456 24,922 34,816 46,912 49,844 93,824 99,688 187,648 199,376 375,296 398,752 750,592 797,504 1,501,184 1,595,008 3,190,016 6,380,032 12,760,064 25,520,128

Collatz Trajectory (74 steps to reach 1)

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

25,520,128 12,760,064 6,380,032 3,190,016 1,595,008 797,504 398,752 199,376 99,688 49,844 24,922 12,461 37,384 18,692 9,346 4,673 14,020 7,010 3,505 10,516 5,258 2,629 7,888 3,944 1,972 986 493 1,480 740 370 185 556 278 139 418 209 628 314 157 472 236 118 59 178 89 268 134 67 202 101 304 152 76 38 19 58 29 88 44 22

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