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Atlas › Integer Profiles › Node 9,268,952

9,268,952

23 × 7 × 11 × 41 × 367
Abundant Even Composite

9,268,952 factors as 2^3 × 7 × 11 × 41 × 367. Its 64 positive divisors give a proper-divisor sum of 12,987,688, so this integer is abundant. The Collatz stopping time is 101 steps.

Prime Factor Structure

Factorization String 2^3 × 7 × 11 × 41 × 367
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 22,256,640
Proper Divisor Sum 12,987,688
Digit Sum / Digital Root 41 (Root: 5)
Adjacent Primes #9268949 ← → #9268957

Radix Representation

Decimal 9268952
Binary 100011010110111011011000 (24 bits)
Octal 0o43267330
Hexadecimal 0x8D6ED8

Divisor Catalog (60 of 64)

1 2 4 7 8 11 14 22 28 41 44 56 77 82 88 154 164 287 308 328 367 451 574 616 734 902 1,148 1,468 1,804 2,296 2,569 2,936 3,157 3,608 4,037 5,138 6,314 8,074 10,276 12,628 15,047 16,148 20,552 25,256 28,259 30,094 32,296 56,518 60,188 105,329 113,036 120,376 165,517 210,658 226,072 331,034 421,316 662,068 842,632 1,158,619

Collatz Trajectory (101 steps to reach 1)

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

9,268,952 4,634,476 2,317,238 1,158,619 3,475,858 1,737,929 5,213,788 2,606,894 1,303,447 3,910,342 1,955,171 5,865,514 2,932,757 8,798,272 4,399,136 2,199,568 1,099,784 549,892 274,946 137,473 412,420 206,210 103,105 309,316 154,658 77,329 231,988 115,994 57,997 173,992 86,996 43,498 21,749 65,248 32,624 16,312 8,156 4,078 2,039 6,118 3,059 9,178 4,589 13,768 6,884 3,442 1,721 5,164 2,582 1,291 3,874 1,937 5,812 2,906 1,453 4,360 2,180 1,090 545 1,636

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