9,747,751

13² × 57679

9,747,751 has digital root 4. The neighboring primes are 9747737 and 9747781; its proper-divisor sum differs from the starting integer by -8,940,062.

Prime Factor Structure

Factorization String 13^2 × 57679

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 6

Divisor Sum (σ) 10,555,440

Proper Divisor Sum 807,689

Digit Sum / Digital Root 40 (Root: 4)

Adjacent Primes #9747737 ← → #9747781

Radix Representation

Decimal	9747751
Binary	100101001011110100100111 (24 bits)
Octal	0o45136447
Hexadecimal	0x94BD27

Divisor Catalog (6)

1 13 169 57,679 749,827 9,747,751

Collatz Trajectory (251 steps to reach 1)

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

9,747,751 29,243,254 14,621,627 43,864,882 21,932,441 65,797,324 32,898,662 16,449,331 49,347,994 24,673,997 74,021,992 37,010,996 18,505,498 9,252,749 27,758,248 13,879,124 6,939,562 3,469,781 10,409,344 5,204,672 2,602,336 1,301,168 650,584 325,292 162,646 81,323 243,970 121,985 365,956 182,978 91,489 274,468 137,234 68,617 205,852 102,926 51,463 154,390 77,195 231,586 115,793 347,380 173,690 86,845 260,536 130,268 65,134 32,567 97,702 48,851 146,554 73,277 219,832 109,916 54,958 27,479 82,438 41,219 123,658 61,829

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