7,691,307

3 × 13 × 53 × 61²

7,691,307 has digital root 6. The neighboring primes are 7691261 and 7691329; its proper-divisor sum differs from the starting integer by -3,942,822.

Prime Factor Structure

Factorization String 3 × 13 × 53 × 61^2

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 11,439,792

Proper Divisor Sum 3,748,485

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #7691261 ← → #7691329

Radix Representation

Decimal	7691307
Binary	11101010101110000101011 (23 bits)
Octal	0o35256053
Hexadecimal	0x755C2B

Divisor Catalog (24)

1 3 13 39 53 61 159 183 689 793 2,067 2,379 3,233 3,721 9,699 11,163 42,029 48,373 126,087 145,119 197,213 591,639 2,563,769 7,691,307

Collatz Trajectory (142 steps to reach 1)

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

7,691,307 23,073,922 11,536,961 34,610,884 17,305,442 8,652,721 25,958,164 12,979,082 6,489,541 19,468,624 9,734,312 4,867,156 2,433,578 1,216,789 3,650,368 1,825,184 912,592 456,296 228,148 114,074 57,037 171,112 85,556 42,778 21,389 64,168 32,084 16,042 8,021 24,064 12,032 6,016 3,008 1,504 752 376 188 94 47 142 71 214 107 322 161 484 242 121 364 182 91 274 137 412 206 103 310 155 466 233

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