9,509,875

5³ × 76079

9,509,875 factors as 5^3 × 76079. Its 8 positive divisors give a proper-divisor sum of 2,358,605, so this integer is deficient. The Collatz stopping time is 75 steps.

Prime Factor Structure

Factorization String 5^3 × 76079

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 11,868,480

Proper Divisor Sum 2,358,605

Digit Sum / Digital Root 43 (Root: 7)

Adjacent Primes #9509873 ← → #9509897

Radix Representation

Decimal	9509875
Binary	100100010001101111110011 (24 bits)
Octal	0o44215763
Hexadecimal	0x911BF3

Divisor Catalog (8)

1 5 25 125 76,079 380,395 1,901,975 9,509,875

Collatz Trajectory (75 steps to reach 1)

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

9,509,875 28,529,626 14,264,813 42,794,440 21,397,220 10,698,610 5,349,305 16,047,916 8,023,958 4,011,979 12,035,938 6,017,969 18,053,908 9,026,954 4,513,477 13,540,432 6,770,216 3,385,108 1,692,554 846,277 2,538,832 1,269,416 634,708 317,354 158,677 476,032 238,016 119,008 59,504 29,752 14,876 7,438 3,719 11,158 5,579 16,738 8,369 25,108 12,554 6,277 18,832 9,416 4,708 2,354 1,177 3,532 1,766 883 2,650 1,325 3,976 1,988 994 497 1,492 746 373 1,120 560 280

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