9,760,947

3 × 7² × 23 × 2887

9,760,947 factors as 3 × 7^2 × 23 × 2887. Its 24 positive divisors give a proper-divisor sum of 6,042,189, so this integer is deficient. The Collatz stopping time is 114 steps.

Prime Factor Structure

Factorization String 3 × 7^2 × 23 × 2887

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 15,803,136

Proper Divisor Sum 6,042,189

Digit Sum / Digital Root 42 (Root: 6)

Adjacent Primes #9760937 ← → #9760963

Radix Representation

Decimal	9760947
Binary	100101001111000010110011 (24 bits)
Octal	0o45170263
Hexadecimal	0x94F0B3

Divisor Catalog (24)

Collatz Trajectory (114 steps to reach 1)

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

9,760,947 29,282,842 14,641,421 43,924,264 21,962,132 10,981,066 5,490,533 16,471,600 8,235,800 4,117,900 2,058,950 1,029,475 3,088,426 1,544,213 4,632,640 2,316,320 1,158,160 579,080 289,540 144,770 72,385 217,156 108,578 54,289 162,868 81,434 40,717 122,152 61,076 30,538 15,269 45,808 22,904 11,452 5,726 2,863 8,590 4,295 12,886 6,443 19,330 9,665 28,996 14,498 7,249 21,748 10,874 5,437 16,312 8,156 4,078 2,039 6,118 3,059 9,178 4,589 13,768 6,884 3,442 1,721

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