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Atlas › Integer Profiles › Node 9,252,006

9,252,006

2 × 3 × 79 × 131 × 149
Abundant Even Composite

9,252,006 factors as 2 × 3 × 79 × 131 × 149. Its 32 positive divisors give a proper-divisor sum of 9,755,994, so this integer is abundant. The Collatz stopping time is 163 steps.

Prime Factor Structure

Factorization String 2 × 3 × 79 × 131 × 149
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 19,008,000
Proper Divisor Sum 9,755,994
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #9251999 ← → #9252007

Radix Representation

Decimal 9252006
Binary 100011010010110010100110 (24 bits)
Octal 0o43226246
Hexadecimal 0x8D2CA6

Divisor Catalog (32)

1 2 3 6 79 131 149 158 237 262 298 393 447 474 786 894 10,349 11,771 19,519 20,698 23,542 31,047 35,313 39,038 58,557 62,094 70,626 117,114 1,542,001 3,084,002 4,626,003 9,252,006

Collatz Trajectory (163 steps to reach 1)

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

9,252,006 4,626,003 13,878,010 6,939,005 20,817,016 10,408,508 5,204,254 2,602,127 7,806,382 3,903,191 11,709,574 5,854,787 17,564,362 8,782,181 26,346,544 13,173,272 6,586,636 3,293,318 1,646,659 4,939,978 2,469,989 7,409,968 3,704,984 1,852,492 926,246 463,123 1,389,370 694,685 2,084,056 1,042,028 521,014 260,507 781,522 390,761 1,172,284 586,142 293,071 879,214 439,607 1,318,822 659,411 1,978,234 989,117 2,967,352 1,483,676 741,838 370,919 1,112,758 556,379 1,669,138 834,569 2,503,708 1,251,854 625,927 1,877,782 938,891 2,816,674 1,408,337 4,225,012 2,112,506

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