9,503,765

5 × 17² × 6577

9,503,765 factors as 5 × 17^2 × 6577. Its 12 positive divisors give a proper-divisor sum of 2,612,911, so this integer is deficient. The Collatz stopping time is 70 steps.

Prime Factor Structure

Factorization String 5 × 17^2 × 6577

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 12,116,676

Proper Divisor Sum 2,612,911

Digit Sum / Digital Root 35 (Root: 8)

Adjacent Primes #9503719 ← → #9503773

Radix Representation

Decimal	9503765
Binary	100100010000010000010101 (24 bits)
Octal	0o44202025
Hexadecimal	0x910415

Divisor Catalog (12)

1 5 17 85 289 1,445 6,577 32,885 111,809 559,045 1,900,753 9,503,765

Collatz Trajectory (70 steps to reach 1)

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

9,503,765 28,511,296 14,255,648 7,127,824 3,563,912 1,781,956 890,978 445,489 1,336,468 668,234 334,117 1,002,352 501,176 250,588 125,294 62,647 187,942 93,971 281,914 140,957 422,872 211,436 105,718 52,859 158,578 79,289 237,868 118,934 59,467 178,402 89,201 267,604 133,802 66,901 200,704 100,352 50,176 25,088 12,544 6,272 3,136 1,568 784 392 196 98 49 148 74 37 112 56 28 14 7 22 11 34 17 52

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