9,523,150

2 × 5² × 7² × 13² × 23

9,523,150 has the prime decomposition 2 × 5^2 × 7^2 × 13^2 × 23. Its 5 distinct prime factors produce 108 positive divisors.

Prime Factor Structure

Factorization String 2 × 5^2 × 7^2 × 13^2 × 23

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 108

Divisor Sum (σ) 23,281,992

Proper Divisor Sum 13,758,842

Digit Sum / Digital Root 25 (Root: 7)

Adjacent Primes #9523141 ← → #9523153

Radix Representation

Decimal	9523150
Binary	100100010100111111001110 (24 bits)
Octal	0o44247716
Hexadecimal	0x914FCE

Divisor Catalog (60 of 108)

1 2 5 7 10 13 14 23 25 26 35 46 49 50 65 70 91 98 115 130 161 169 175 182 230 245 299 322 325 338 350 455 490 575 598 637 650 805 845 910 1,127 1,150 1,183 1,225 1,274 1,495 1,610 1,690 2,093 2,254 2,275 2,366 2,450 2,990 3,185 3,887 4,025 4,186 4,225 4,550

Collatz Trajectory (176 steps to reach 1)

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

9,523,150 4,761,575 14,284,726 7,142,363 21,427,090 10,713,545 32,140,636 16,070,318 8,035,159 24,105,478 12,052,739 36,158,218 18,079,109 54,237,328 27,118,664 13,559,332 6,779,666 3,389,833 10,169,500 5,084,750 2,542,375 7,627,126 3,813,563 11,440,690 5,720,345 17,161,036 8,580,518 4,290,259 12,870,778 6,435,389 19,306,168 9,653,084 4,826,542 2,413,271 7,239,814 3,619,907 10,859,722 5,429,861 16,289,584 8,144,792 4,072,396 2,036,198 1,018,099 3,054,298 1,527,149 4,581,448 2,290,724 1,145,362 572,681 1,718,044 859,022 429,511 1,288,534 644,267 1,932,802 966,401 2,899,204 1,449,602 724,801 2,174,404

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