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Atlas › Integer Profiles › Node 37,264,048

37,264,048

24 × 23 × 109 × 929
Abundant Even Composite

37,264,048 factors as 2^4 × 23 × 109 × 929. Its 40 positive divisors give a proper-divisor sum of 38,847,152, so this integer is abundant. The Collatz stopping time is 227 steps.

Prime Factor Structure

Factorization String 2^4 × 23 × 109 × 929
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 76,111,200
Proper Divisor Sum 38,847,152
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #37264037 ← → #37264049

Radix Representation

Decimal 37264048
Binary 10001110001001101010110000 (26 bits)
Octal 0o216115260
Hexadecimal 0x2389AB0

Divisor Catalog (40)

1 2 4 8 16 23 46 92 109 184 218 368 436 872 929 1,744 1,858 2,507 3,716 5,014 7,432 10,028 14,864 20,056 21,367 40,112 42,734 85,468 101,261 170,936 202,522 341,872 405,044 810,088 1,620,176 2,329,003 4,658,006 9,316,012 18,632,024 37,264,048

Collatz Trajectory (227 steps to reach 1)

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

37,264,048 18,632,024 9,316,012 4,658,006 2,329,003 6,987,010 3,493,505 10,480,516 5,240,258 2,620,129 7,860,388 3,930,194 1,965,097 5,895,292 2,947,646 1,473,823 4,421,470 2,210,735 6,632,206 3,316,103 9,948,310 4,974,155 14,922,466 7,461,233 22,383,700 11,191,850 5,595,925 16,787,776 8,393,888 4,196,944 2,098,472 1,049,236 524,618 262,309 786,928 393,464 196,732 98,366 49,183 147,550 73,775 221,326 110,663 331,990 165,995 497,986 248,993 746,980 373,490 186,745 560,236 280,118 140,059 420,178 210,089 630,268 315,134 157,567 472,702 236,351

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