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Atlas › Integer Profiles › Node 24,942,016

24,942,016

26 × 11 × 71 × 499
Abundant Even Composite

24,942,016 factors as 2^6 × 11 × 71 × 499. Its 56 positive divisors give a proper-divisor sum of 29,921,984, so this integer is abundant. The Collatz stopping time is 92 steps.

Prime Factor Structure

Factorization String 2^6 × 11 × 71 × 499
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 56
Divisor Sum (σ) 54,864,000
Proper Divisor Sum 29,921,984
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #24941999 ← → #24942017

Radix Representation

Decimal 24942016
Binary 1011111001001010111000000 (25 bits)
Octal 0o137112700
Hexadecimal 0x17C95C0

Divisor Catalog (56)

1 2 4 8 11 16 22 32 44 64 71 88 142 176 284 352 499 568 704 781 998 1,136 1,562 1,996 2,272 3,124 3,992 4,544 5,489 6,248 7,984 10,978 12,496 15,968 21,956 24,992 31,936 35,429 43,912 49,984 70,858 87,824 141,716 175,648 283,432 351,296 389,719 566,864 779,438 1,133,728 1,558,876 2,267,456 3,117,752 6,235,504 12,471,008 24,942,016

Collatz Trajectory (92 steps to reach 1)

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

24,942,016 12,471,008 6,235,504 3,117,752 1,558,876 779,438 389,719 1,169,158 584,579 1,753,738 876,869 2,630,608 1,315,304 657,652 328,826 164,413 493,240 246,620 123,310 61,655 184,966 92,483 277,450 138,725 416,176 208,088 104,044 52,022 26,011 78,034 39,017 117,052 58,526 29,263 87,790 43,895 131,686 65,843 197,530 98,765 296,296 148,148 74,074 37,037 111,112 55,556 27,778 13,889 41,668 20,834 10,417 31,252 15,626 7,813 23,440 11,720 5,860 2,930 1,465 4,396

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