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Atlas › Integer Profiles › Node 9,509,868

9,509,868

22 × 32 × 17 × 41 × 379
Abundant Even Composite

9,509,868 factors as 2^2 × 3^2 × 17 × 41 × 379. Its 72 positive divisors give a proper-divisor sum of 16,632,612, so this integer is abundant. The Collatz stopping time is 176 steps.

Prime Factor Structure

Factorization String 2^2 × 3^2 × 17 × 41 × 379
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 72
Divisor Sum (σ) 26,142,480
Proper Divisor Sum 16,632,612
Digit Sum / Digital Root 45 (Root: 9)
Adjacent Primes #9509867 ← → #9509873

Radix Representation

Decimal 9509868
Binary 100100010001101111101100 (24 bits)
Octal 0o44215754
Hexadecimal 0x911BEC

Divisor Catalog (60 of 72)

1 2 3 4 6 9 12 17 18 34 36 41 51 68 82 102 123 153 164 204 246 306 369 379 492 612 697 738 758 1,137 1,394 1,476 1,516 2,091 2,274 2,788 3,411 4,182 4,548 6,273 6,443 6,822 8,364 12,546 12,886 13,644 15,539 19,329 25,092 25,772 31,078 38,658 46,617 57,987 62,156 77,316 93,234 115,974 139,851 186,468

Collatz Trajectory (176 steps to reach 1)

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

9,509,868 4,754,934 2,377,467 7,132,402 3,566,201 10,698,604 5,349,302 2,674,651 8,023,954 4,011,977 12,035,932 6,017,966 3,008,983 9,026,950 4,513,475 13,540,426 6,770,213 20,310,640 10,155,320 5,077,660 2,538,830 1,269,415 3,808,246 1,904,123 5,712,370 2,856,185 8,568,556 4,284,278 2,142,139 6,426,418 3,213,209 9,639,628 4,819,814 2,409,907 7,229,722 3,614,861 10,844,584 5,422,292 2,711,146 1,355,573 4,066,720 2,033,360 1,016,680 508,340 254,170 127,085 381,256 190,628 95,314 47,657 142,972 71,486 35,743 107,230 53,615 160,846 80,423 241,270 120,635 361,906

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