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Atlas › Integer Profiles › Node 9,268,264

9,268,264

23 × 17 × 23 × 2963
Abundant Even Composite

9,268,264 factors as 2^3 × 17 × 23 × 2963. Its 32 positive divisors give a proper-divisor sum of 9,938,456, so this integer is abundant. The Collatz stopping time is 194 steps.

Prime Factor Structure

Factorization String 2^3 × 17 × 23 × 2963
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 19,206,720
Proper Divisor Sum 9,938,456
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #9268261 ← → #9268267

Radix Representation

Decimal 9268264
Binary 100011010110110000101000 (24 bits)
Octal 0o43266050
Hexadecimal 0x8D6C28

Divisor Catalog (32)

1 2 4 8 17 23 34 46 68 92 136 184 391 782 1,564 2,963 3,128 5,926 11,852 23,704 50,371 68,149 100,742 136,298 201,484 272,596 402,968 545,192 1,158,533 2,317,066 4,634,132 9,268,264

Collatz Trajectory (194 steps to reach 1)

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

9,268,264 4,634,132 2,317,066 1,158,533 3,475,600 1,737,800 868,900 434,450 217,225 651,676 325,838 162,919 488,758 244,379 733,138 366,569 1,099,708 549,854 274,927 824,782 412,391 1,237,174 618,587 1,855,762 927,881 2,783,644 1,391,822 695,911 2,087,734 1,043,867 3,131,602 1,565,801 4,697,404 2,348,702 1,174,351 3,523,054 1,761,527 5,284,582 2,642,291 7,926,874 3,963,437 11,890,312 5,945,156 2,972,578 1,486,289 4,458,868 2,229,434 1,114,717 3,344,152 1,672,076 836,038 418,019 1,254,058 627,029 1,881,088 940,544 470,272 235,136 117,568 58,784

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