λ
Math Directory

9,122,603

7 × 19 × 113 × 607
Deficient Odd Composite

9,122,603 factors as 7 × 19 × 113 × 607. Its 16 positive divisors give a proper-divisor sum of 1,967,317, so this integer is deficient. The Collatz stopping time is 225 steps.

Prime Factor Structure

Factorization String 7 × 19 × 113 × 607
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 11,089,920
Proper Divisor Sum 1,967,317
Digit Sum / Digital Root 23 (Root: 5)
Adjacent Primes #9122599 ← → #9122629

Radix Representation

Decimal 9122603
Binary 100010110011001100101011 (24 bits)
Octal 0o42631453
Hexadecimal 0x8B332B

Divisor Catalog (16)

1 7 19 113 133 607 791 2,147 4,249 11,533 15,029 68,591 80,731 480,137 1,303,229 9,122,603

Collatz Trajectory (225 steps to reach 1)

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

9,122,603 27,367,810 13,683,905 41,051,716 20,525,858 10,262,929 30,788,788 15,394,394 7,697,197 23,091,592 11,545,796 5,772,898 2,886,449 8,659,348 4,329,674 2,164,837 6,494,512 3,247,256 1,623,628 811,814 405,907 1,217,722 608,861 1,826,584 913,292 456,646 228,323 684,970 342,485 1,027,456 513,728 256,864 128,432 64,216 32,108 16,054 8,027 24,082 12,041 36,124 18,062 9,031 27,094 13,547 40,642 20,321 60,964 30,482 15,241 45,724 22,862 11,431 34,294 17,147 51,442 25,721 77,164 38,582 19,291 57,874

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