9,506,575

5² × 13 × 29251

9,506,575 factors as 5^2 × 13 × 29251. Its 12 positive divisors give a proper-divisor sum of 3,188,793, so this integer is deficient. The Collatz stopping time is 163 steps.

Prime Factor Structure

Factorization String 5^2 × 13 × 29251

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 12,695,368

Proper Divisor Sum 3,188,793

Digit Sum / Digital Root 37 (Root: 1)

Adjacent Primes #9506543 ← → #9506597

Radix Representation

Decimal	9506575
Binary	100100010000111100001111 (24 bits)
Octal	0o44207417
Hexadecimal	0x910F0F

Divisor Catalog (12)

1 5 13 25 65 325 29,251 146,255 380,263 731,275 1,901,315 9,506,575

Collatz Trajectory (163 steps to reach 1)

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

9,506,575 28,519,726 14,259,863 42,779,590 21,389,795 64,169,386 32,084,693 96,254,080 48,127,040 24,063,520 12,031,760 6,015,880 3,007,940 1,503,970 751,985 2,255,956 1,127,978 563,989 1,691,968 845,984 422,992 211,496 105,748 52,874 26,437 79,312 39,656 19,828 9,914 4,957 14,872 7,436 3,718 1,859 5,578 2,789 8,368 4,184 2,092 1,046 523 1,570 785 2,356 1,178 589 1,768 884 442 221 664 332 166 83 250 125 376 188 94 47

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