λ
Sigma Notebook

7,569,728

26 × 118277
Deficient Even Composite

7,569,728 is even and not a perfect square. Its factorization is 2^6 × 118277 and its 14 divisors sum to 15,021,306.

Prime Factor Structure

Factorization String 2^6 × 118277
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 14
Divisor Sum (σ) 15,021,306
Proper Divisor Sum 7,451,578
Digit Sum / Digital Root 44 (Root: 8)
Adjacent Primes #7569721 ← → #7569739

Radix Representation

Decimal 7569728
Binary 11100111000000101000000 (23 bits)
Octal 0o34700500
Hexadecimal 0x738140

Divisor Catalog (14)

1 2 4 8 16 32 64 118,277 236,554 473,108 946,216 1,892,432 3,784,864 7,569,728

Collatz Trajectory (217 steps to reach 1)

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

7,569,728 3,784,864 1,892,432 946,216 473,108 236,554 118,277 354,832 177,416 88,708 44,354 22,177 66,532 33,266 16,633 49,900 24,950 12,475 37,426 18,713 56,140 28,070 14,035 42,106 21,053 63,160 31,580 15,790 7,895 23,686 11,843 35,530 17,765 53,296 26,648 13,324 6,662 3,331 9,994 4,997 14,992 7,496 3,748 1,874 937 2,812 1,406 703 2,110 1,055 3,166 1,583 4,750 2,375 7,126 3,563 10,690 5,345 16,036 8,018

More profiles

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