9,707,577

3 × 11 × 294169

9,707,577 factors as 3 × 11 × 294169. Its 8 positive divisors give a proper-divisor sum of 4,412,583, so this integer is deficient. The Collatz stopping time is 207 steps.

Prime Factor Structure

Factorization String 3 × 11 × 294169

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 14,120,160

Proper Divisor Sum 4,412,583

Digit Sum / Digital Root 42 (Root: 6)

Adjacent Primes #9707567 ← → #9707591

Radix Representation

Decimal	9707577
Binary	100101000010000000111001 (24 bits)
Octal	0o45020071
Hexadecimal	0x942039

Divisor Catalog (8)

1 3 11 33 294,169 882,507 3,235,859 9,707,577

Collatz Trajectory (207 steps to reach 1)

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

9,707,577 29,122,732 14,561,366 7,280,683 21,842,050 10,921,025 32,763,076 16,381,538 8,190,769 24,572,308 12,286,154 6,143,077 18,429,232 9,214,616 4,607,308 2,303,654 1,151,827 3,455,482 1,727,741 5,183,224 2,591,612 1,295,806 647,903 1,943,710 971,855 2,915,566 1,457,783 4,373,350 2,186,675 6,560,026 3,280,013 9,840,040 4,920,020 2,460,010 1,230,005 3,690,016 1,845,008 922,504 461,252 230,626 115,313 345,940 172,970 86,485 259,456 129,728 64,864 32,432 16,216 8,108 4,054 2,027 6,082 3,041 9,124 4,562 2,281 6,844 3,422 1,711

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