9937
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 28
- Digital Root
- 1
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 10480
- Proper Divisor Sum (Aliquot Sum)
- 543
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 9396
- Möbius Function
- 1
- Radical
- 9937
- Omega Function (Ω)
- 2
- Little Omega Function (ω)
- 2
Special
- Factorial
- no
- Catalan Number
- no
- Bell Number
- no
- Motzkin Number
- no
- Primorial
- no
Figurate Numbers
- Fibonacci Number
- no
- Triangular Number
- no
- Perfect Square
- no
- Perfect Cube
- no
- Pentagonal Number
- no
- Hexagonal Number
- no
- Lucas Number
- no
- Tetrahedral Number
- no
- Pell Number
- no
- Tribonacci Number
- no
- Pronic Number
- no
Recreational
- Happy Number
- no
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 73
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- yes
- Squarefree Number
- yes
- Prime Power
- no
- Prime Factorization
- no
- Twin Prime
- no
- Mersenne Prime
- no
- Sophie Germain Prime
- no
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Tricapped prism numbers.at n=18A005920
- Coordination sequence for MgZn2, Mg position.at n=25A009939
- Pseudoprimes to base 55.at n=36A020183
- Pseudoprimes to base 60.at n=24A020188
- Lucky numbers with size of gaps equal to 20 (lower terms).at n=19A031902
- Number of compound rooted windmills with n nodes where any 2 submills extending from the same node are of different sizes.at n=14A032143
- Numerators of continued fraction convergents to sqrt(316).at n=6A041596
- Numbers k such that (2*k)!/k!-1 is prime.at n=14A112853
- Expansion of 1 / (1-4*x^2-3*x^3). (4,3)-Padovan sequence.at n=12A176737
- Centered 36-gonal numbers.at n=23A195316
- Nonprime numbers with all divisors with additive digital root of 1.at n=26A211822
- Number of (w,x,y,z) with all terms in {1,...,n} and |x-y|=|y-z|.at n=19A212679
- Numbers n such that the decimal expansions of both n and n^2 have 3 as the digit with the smallest value and 9 as the digit with the largest value.at n=11A238553
- 60-gonal (hexacontagonal) numbers: a(n) = n(29n - 28).at n=19A249911
- Fundamental discriminants d uniquely characterizing all complex biquadratic fields Q(sqrt(-3),sqrt(d)) which have 3-class group of type (3,3) and second 3-class group isomorphic to SmallGroup(729,95).at n=2A250239
- Composites in base 10 that remain composite in exactly five bases b, 2 <= b <= 10, expansions interpreted as decimal numbers.at n=41A256353
- Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 237", based on the 5-celled von Neumann neighborhood.at n=23A270982
- a(n) = 8n^2 - 12n + 1.at n=34A273220
- Number of distinct subword complexity profiles for binary strings of length n.at n=28A282949
- Semiprimes k = pq such that p^k == p (mod k) and q^k == q (mod k).at n=16A294169