5326
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 16
- Digital Root
- 7
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 7992
- Proper Divisor Sum (Aliquot Sum)
- 2666
- 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
- 2662
- Möbius Function
- 1
- Radical
- 5326
- 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
- 85
- 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
- yes
- Odd
- no
Appears in sequences
- Number of partitions of at most n into at most 5 parts.at n=30A002622
- Coordination sequence for alpha-Mn, Position Mn3.at n=19A009952
- a(0) = 1, a(n) = 11*n^2 + 2 for n>0.at n=22A010003
- Convolution of A023531 and Fibonacci numbers.at n=19A023557
- Numbers k such that the continued fraction for sqrt(k) has even period and if the last term of the periodic part is deleted the central term is 72.at n=10A031570
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 48 ones.at n=7A031816
- Schoenheim bound L_1(n,9,8).at n=9A036836
- Concatenate n-th prime and n-th composite.at n=15A038530
- a(n+1) = a(n) converted to base 10 from base 13.at n=18A055984
- Numbers k such that k! is divisible by the square of (f+d)!^2 for d = 0, 1 and 2 (and possibly larger d), where f = floor(k/2).at n=22A056068
- Nested floor product of n and fractions (k+1)/k for all k>0 (mod 4), divided by 4.at n=18A073361
- In base 4, smallest number that requires n Reverse and Add! steps to reach a palindrome.at n=20A077441
- a(0)=0 and for n>0, a(n) is the smallest positive integer that cannot be derived by the adding or subtracting at most three terms with values in {a(0),...,a(n-1)} allowing repeats.at n=41A096077
- Records in A118514.at n=11A118515
- Number of nX2 1..5 arrays containing at least one of each value, all equal values connected, and rows considered as a single number in nondecreasing order.at n=4A166778
- a(n) = prime(n)^2-3.at n=20A182200
- Number of nX2 0..2 arrays with the counts of all possible adjacent horizontal and vertical pair sum values being within one of each other.at n=6A203595
- T(n,k)=Number of nXk 0..2 arrays with the counts of all possible adjacent horizontal and vertical pair sum values being within one of each other.at n=34A203600
- T(n,k)=Number of nXk 0..2 arrays with the counts of all possible adjacent horizontal and vertical pair sum values being within one of each other.at n=29A203600
- Number of 3X3X3 triangular 0..n arrays with no element lying outside the (possibly reversed) range delimited by its sw and se neighbors, and every horizontal row having the same average value.at n=14A214541