λ
Prime Ledger

9,367,612

22 × 17 × 347 × 397
Deficient Even Composite

9,367,612 has the prime decomposition 2^2 × 17 × 347 × 397. Its 4 distinct prime factors produce 24 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 17 × 347 × 397
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 17,451,504
Proper Divisor Sum 8,083,892
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #9367597 ← → #9367619

Radix Representation

Decimal 9367612
Binary 100011101111000000111100 (24 bits)
Octal 0o43570074
Hexadecimal 0x8EF03C

Divisor Catalog (24)

1 2 4 17 34 68 347 397 694 794 1,388 1,588 5,899 6,749 11,798 13,498 23,596 26,996 137,759 275,518 551,036 2,341,903 4,683,806 9,367,612

Collatz Trajectory (132 steps to reach 1)

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

9,367,612 4,683,806 2,341,903 7,025,710 3,512,855 10,538,566 5,269,283 15,807,850 7,903,925 23,711,776 11,855,888 5,927,944 2,963,972 1,481,986 740,993 2,222,980 1,111,490 555,745 1,667,236 833,618 416,809 1,250,428 625,214 312,607 937,822 468,911 1,406,734 703,367 2,110,102 1,055,051 3,165,154 1,582,577 4,747,732 2,373,866 1,186,933 3,560,800 1,780,400 890,200 445,100 222,550 111,275 333,826 166,913 500,740 250,370 125,185 375,556 187,778 93,889 281,668 140,834 70,417 211,252 105,626 52,813 158,440 79,220 39,610 19,805 59,416

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