5322
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 12
- Digital Root
- 3
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 10656
- Proper Divisor Sum (Aliquot Sum)
- 5334
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- yes
Derived Values
- Euler's Totient
- 1772
- Möbius Function
- -1
- Radical
- 5322
- Omega Function (Ω)
- 3
- Little Omega Function (ω)
- 3
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
- 54
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- 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
- yes
- Odd
- no
Appears in sequences
- Number of positive integers <= 2^n of form 2 x^2 + 5 y^2.at n=15A000286
- Total diameter of labeled trees with n nodes.at n=5A001852
- a(n) = round(1000*log_2(n)).at n=39A004266
- a(n) = ceiling(1000*log_2(n)).at n=39A004267
- Numbers k such that 43*2^k+1 is prime.at n=18A032371
- Multiplicity of highest weight (or singular) vectors associated with character chi_117 of Monster module.at n=37A034505
- Base 8 digits are, in order, the first n terms of the periodic sequence with initial period 1,2,3.at n=4A037608
- Number of partitions of n with equal nonzero number of parts congruent to each of 0, 2, 3 and 4 (mod 5).at n=61A046786
- Discriminants of real quadratic fields with class number 2 and related continued fraction period length of 24.at n=31A051989
- Positive numbers whose product of digits is 5 times their sum.at n=39A062382
- Expansion of 1/( 1 - x / Product_{n>=1} (1-x^n) ).at n=11A067687
- Largest number whose digit product equals n; a(n)=0 if no such number exists, e.g., when n has a prime factor larger than 7; no digit=1 is permitted to avoid an infinite number of solutions.at n=59A068190
- Multiples of 6 with only prime digits (2, 3, 5 and 7).at n=19A077535
- Positions of A080313 in A014486.at n=12A080312
- Diagonal of triangular spiral in A051682.at n=34A081267
- Starting positions of strings of three 7's in the decimal expansion of Pi.at n=5A083631
- Starting positions of strings of four 7's in the decimal expansion of Pi.at n=2A083632
- Let A denote the sequence; A is equal to the union of the self-convolutions A^2 and A^3, with terms in ascending order by size.at n=26A090845
- a(n)=3a(n-1)+C(n+4,4),n>0, a(0)=1.at n=6A097787
- McKay-Thompson series of class 36g for the Monster group.at n=36A103262