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Atlas › Integer Profiles › Node 7,790,744

7,790,744

23 × 13 × 23 × 3257
Abundant Even Composite

7,790,744 factors as 2^3 × 13 × 23 × 3257. Its 32 positive divisors give a proper-divisor sum of 8,629,576, so this integer is abundant. The Collatz stopping time is 124 steps.

Prime Factor Structure

Factorization String 2^3 × 13 × 23 × 3257
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 16,420,320
Proper Divisor Sum 8,629,576
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #7790729 ← → #7790791

Radix Representation

Decimal 7790744
Binary 11101101110000010011000 (23 bits)
Octal 0o35560230
Hexadecimal 0x76E098

Divisor Catalog (32)

1 2 4 8 13 23 26 46 52 92 104 184 299 598 1,196 2,392 3,257 6,514 13,028 26,056 42,341 74,911 84,682 149,822 169,364 299,644 338,728 599,288 973,843 1,947,686 3,895,372 7,790,744

Collatz Trajectory (124 steps to reach 1)

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

7,790,744 3,895,372 1,947,686 973,843 2,921,530 1,460,765 4,382,296 2,191,148 1,095,574 547,787 1,643,362 821,681 2,465,044 1,232,522 616,261 1,848,784 924,392 462,196 231,098 115,549 346,648 173,324 86,662 43,331 129,994 64,997 194,992 97,496 48,748 24,374 12,187 36,562 18,281 54,844 27,422 13,711 41,134 20,567 61,702 30,851 92,554 46,277 138,832 69,416 34,708 17,354 8,677 26,032 13,016 6,508 3,254 1,627 4,882 2,441 7,324 3,662 1,831 5,494 2,747 8,242

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