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Atlas › Integer Profiles › Node 25,986,112

25,986,112

26 × 47 × 53 × 163
Abundant Even Composite

25,986,112 factors as 2^6 × 47 × 53 × 163. Its 56 positive divisors give a proper-divisor sum of 28,000,064, so this integer is abundant. The Collatz stopping time is 66 steps.

Prime Factor Structure

Factorization String 2^6 × 47 × 53 × 163
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 56
Divisor Sum (σ) 53,986,176
Proper Divisor Sum 28,000,064
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #25986089 ← → #25986119

Radix Representation

Decimal 25986112
Binary 1100011001000010001000000 (25 bits)
Octal 0o143102100
Hexadecimal 0x18C8440

Divisor Catalog (56)

1 2 4 8 16 32 47 53 64 94 106 163 188 212 326 376 424 652 752 848 1,304 1,504 1,696 2,491 2,608 3,008 3,392 4,982 5,216 7,661 8,639 9,964 10,432 15,322 17,278 19,928 30,644 34,556 39,856 61,288 69,112 79,712 122,576 138,224 159,424 245,152 276,448 406,033 490,304 552,896 812,066 1,624,132 3,248,264 6,496,528 12,993,056 25,986,112

Collatz Trajectory (66 steps to reach 1)

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

25,986,112 12,993,056 6,496,528 3,248,264 1,624,132 812,066 406,033 1,218,100 609,050 304,525 913,576 456,788 228,394 114,197 342,592 171,296 85,648 42,824 21,412 10,706 5,353 16,060 8,030 4,015 12,046 6,023 18,070 9,035 27,106 13,553 40,660 20,330 10,165 30,496 15,248 7,624 3,812 1,906 953 2,860 1,430 715 2,146 1,073 3,220 1,610 805 2,416 1,208 604 302 151 454 227 682 341 1,024 512 256 128

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