7,809,728

2⁶ × 122027

7,809,728 factors as 2^6 × 122027. Its 14 positive divisors give a proper-divisor sum of 7,687,828, so this integer is deficient. The Collatz stopping time is 67 steps.

Prime Factor Structure

Factorization String 2^6 × 122027

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 14

Divisor Sum (σ) 15,497,556

Proper Divisor Sum 7,687,828

Digit Sum / Digital Root 41 (Root: 5)

Adjacent Primes #7809727 ← → #7809731

Radix Representation

Decimal	7809728
Binary	11101110010101011000000 (23 bits)
Octal	0o35625300
Hexadecimal	0x772AC0

Divisor Catalog (14)

1 2 4 8 16 32 64 122,027 244,054 488,108 976,216 1,952,432 3,904,864 7,809,728

Collatz Trajectory (67 steps to reach 1)

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

7,809,728 3,904,864 1,952,432 976,216 488,108 244,054 122,027 366,082 183,041 549,124 274,562 137,281 411,844 205,922 102,961 308,884 154,442 77,221 231,664 115,832 57,916 28,958 14,479 43,438 21,719 65,158 32,579 97,738 48,869 146,608 73,304 36,652 18,326 9,163 27,490 13,745 41,236 20,618 10,309 30,928 15,464 7,732 3,866 1,933 5,800 2,900 1,450 725 2,176 1,088 544 272 136 68 34 17 52 26 13 40

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