9,730,641

3 × 19 × 53 × 3221

9,730,641 factors as 3 × 19 × 53 × 3221. Its 16 positive divisors give a proper-divisor sum of 4,188,399, so this integer is deficient. The Collatz stopping time is 176 steps.

Prime Factor Structure

Factorization String 3 × 19 × 53 × 3221

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 13,919,040

Proper Divisor Sum 4,188,399

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #9730639 ← → #9730649

Radix Representation

Decimal	9730641
Binary	100101000111101001010001 (24 bits)
Octal	0o45075121
Hexadecimal	0x947A51

Divisor Catalog (16)

1 3 19 53 57 159 1,007 3,021 3,221 9,663 61,199 170,713 183,597 512,139 3,243,547 9,730,641

Collatz Trajectory (176 steps to reach 1)

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

9,730,641 29,191,924 14,595,962 7,297,981 21,893,944 10,946,972 5,473,486 2,736,743 8,210,230 4,105,115 12,315,346 6,157,673 18,473,020 9,236,510 4,618,255 13,854,766 6,927,383 20,782,150 10,391,075 31,173,226 15,586,613 46,759,840 23,379,920 11,689,960 5,844,980 2,922,490 1,461,245 4,383,736 2,191,868 1,095,934 547,967 1,643,902 821,951 2,465,854 1,232,927 3,698,782 1,849,391 5,548,174 2,774,087 8,322,262 4,161,131 12,483,394 6,241,697 18,725,092 9,362,546 4,681,273 14,043,820 7,021,910 3,510,955 10,532,866 5,266,433 15,799,300 7,899,650 3,949,825 11,849,476 5,924,738 2,962,369 8,887,108 4,443,554 2,221,777

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