9,727,756

2² × 251 × 9689

9,727,756 has digital root 7. The neighboring primes are 9727747 and 9727771; its proper-divisor sum differs from the starting integer by -2,362,352.

Prime Factor Structure

Factorization String 2^2 × 251 × 9689

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 17,093,160

Proper Divisor Sum 7,365,404

Digit Sum / Digital Root 43 (Root: 7)

Adjacent Primes #9727747 ← → #9727771

Radix Representation

Decimal	9727756
Binary	100101000110111100001100 (24 bits)
Octal	0o45067414
Hexadecimal	0x946F0C

Divisor Catalog (12)

1 2 4 251 502 1,004 9,689 19,378 38,756 2,431,939 4,863,878 9,727,756

Collatz Trajectory (114 steps to reach 1)

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

9,727,756 4,863,878 2,431,939 7,295,818 3,647,909 10,943,728 5,471,864 2,735,932 1,367,966 683,983 2,051,950 1,025,975 3,077,926 1,538,963 4,616,890 2,308,445 6,925,336 3,462,668 1,731,334 865,667 2,597,002 1,298,501 3,895,504 1,947,752 973,876 486,938 243,469 730,408 365,204 182,602 91,301 273,904 136,952 68,476 34,238 17,119 51,358 25,679 77,038 38,519 115,558 57,779 173,338 86,669 260,008 130,004 65,002 32,501 97,504 48,752 24,376 12,188 6,094 3,047 9,142 4,571 13,714 6,857 20,572 10,286

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