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Atlas › Integer Profiles › Node 9,523,968

9,523,968

28 × 3 × 12401
Abundant Even Composite

9,523,968 factors as 2^8 × 3 × 12401. Its 36 positive divisors give a proper-divisor sum of 15,825,720, so this integer is abundant. The Collatz stopping time is 101 steps.

Prime Factor Structure

Factorization String 2^8 × 3 × 12401
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 25,349,688
Proper Divisor Sum 15,825,720
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #9523967 ← → #9523973

Radix Representation

Decimal 9523968
Binary 100100010101001100000000 (24 bits)
Octal 0o44251400
Hexadecimal 0x915300

Divisor Catalog (36)

1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 768 12,401 24,802 37,203 49,604 74,406 99,208 148,812 198,416 297,624 396,832 595,248 793,664 1,190,496 1,587,328 2,380,992 3,174,656 4,761,984 9,523,968

Collatz Trajectory (101 steps to reach 1)

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

9,523,968 4,761,984 2,380,992 1,190,496 595,248 297,624 148,812 74,406 37,203 111,610 55,805 167,416 83,708 41,854 20,927 62,782 31,391 94,174 47,087 141,262 70,631 211,894 105,947 317,842 158,921 476,764 238,382 119,191 357,574 178,787 536,362 268,181 804,544 402,272 201,136 100,568 50,284 25,142 12,571 37,714 18,857 56,572 28,286 14,143 42,430 21,215 63,646 31,823 95,470 47,735 143,206 71,603 214,810 107,405 322,216 161,108 80,554 40,277 120,832 60,416

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