λ
Zalai Atlas

9,284,627

11 × 61 × 101 × 137
Deficient Odd Composite

9,284,627 has the prime decomposition 11 × 61 × 101 × 137. Its 4 distinct prime factors produce 16 positive divisors.

Prime Factor Structure

Factorization String 11 × 61 × 101 × 137
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 10,472,544
Proper Divisor Sum 1,187,917
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #9284623 ← → #9284641

Radix Representation

Decimal 9284627
Binary 100011011010110000010011 (24 bits)
Octal 0o43326023
Hexadecimal 0x8DAC13

Divisor Catalog (16)

1 11 61 101 137 671 1,111 1,507 6,161 8,357 13,837 67,771 91,927 152,207 844,057 9,284,627

Collatz Trajectory (101 steps to reach 1)

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

9,284,627 27,853,882 13,926,941 41,780,824 20,890,412 10,445,206 5,222,603 15,667,810 7,833,905 23,501,716 11,750,858 5,875,429 17,626,288 8,813,144 4,406,572 2,203,286 1,101,643 3,304,930 1,652,465 4,957,396 2,478,698 1,239,349 3,718,048 1,859,024 929,512 464,756 232,378 116,189 348,568 174,284 87,142 43,571 130,714 65,357 196,072 98,036 49,018 24,509 73,528 36,764 18,382 9,191 27,574 13,787 41,362 20,681 62,044 31,022 15,511 46,534 23,267 69,802 34,901 104,704 52,352 26,176 13,088 6,544 3,272 1,636

More profiles

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