9,509,005

5 × 11 × 23 × 7517

9,509,005 has the prime decomposition 5 × 11 × 23 × 7517. Its 4 distinct prime factors produce 16 positive divisors.

Prime Factor Structure

Factorization String 5 × 11 × 23 × 7517

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 12,991,104

Proper Divisor Sum 3,482,099

Digit Sum / Digital Root 28 (Root: 1)

Adjacent Primes #9508999 ← → #9509011

Radix Representation

Decimal	9509005
Binary	100100010001100010001101 (24 bits)
Octal	0o44214215
Hexadecimal	0x91188D

Divisor Catalog (16)

1 5 11 23 55 115 253 1,265 7,517 37,585 82,687 172,891 413,435 864,455 1,901,801 9,509,005

Collatz Trajectory (75 steps to reach 1)

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

9,509,005 28,527,016 14,263,508 7,131,754 3,565,877 10,697,632 5,348,816 2,674,408 1,337,204 668,602 334,301 1,002,904 501,452 250,726 125,363 376,090 188,045 564,136 282,068 141,034 70,517 211,552 105,776 52,888 26,444 13,222 6,611 19,834 9,917 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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