16038
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 18
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 28
- Divisor Sum
- 39348
- Proper Divisor Sum (Aliquot Sum)
- 23310
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 4860
- Möbius Function
- 0
- Radical
- 66
- Omega Function (Ω)
- 8
- 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
- yes
- Narcissistic Number
- no
- Collatz Steps
- 159
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- Squarefree Number
- no
- 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 n into 7 unordered relatively prime parts.at n=49A023027
- Triangle whose (i,j)-th entry is binomial(i,j)*3^(i-j)*11^j.at n=22A038229
- Triangle whose (i,j)-th entry is binomial(i,j)*11^(i-j)*3^j.at n=26A038317
- 3-enumeration of 2n+1 X 2n+1 vertically symmetric alternating-sign matrices.at n=4A059486
- Numbers k such that the k-th difference between 2 successive primes equals the squarefree part of k.at n=26A078691
- Integers m such that the base-10 digit concatenation 2//m//3//m//5//m...//prime(49)//m//prime(50) is prime.at n=37A084048
- Triangle of numbers, called Y(1,3), related to generalized Catalan numbers A064063(n) = C(3;n).at n=29A116868
- Triangle read by rows: T(n,k) = T(n-1,k-1) +T(n-1,k) +n*(n-1)*T(n-2,k-1) for n>4 and 1<=k<=n.at n=30A153592
- Triangle read by rows: T(n,k) = T(n-1,k-1) +T(n-1,k) +n*(n-1)*T(n-2,k-1) for n>4 and 1<=k<=n.at n=33A153592
- 6 times heptagonal numbers: a(n) = 3*n*(5*n-3).at n=33A153786
- a(n) = 22*n^2.at n=27A195323
- Numbers k which use half of the ten digits such that they have at least one factorization k=p*q that uses remaining half of the digits that are not in k.at n=2A195814
- (n-1)-st elementary symmetric function of the first n terms of the periodic sequence (1,1,1,3,1,1,1,3,...).at n=25A203235
- Number of n X n 0..1 arrays avoiding 0 0 0 and 0 1 1 horizontally and 0 0 1 and 1 0 1 vertically.at n=5A207019
- Number of nX6 0..1 arrays avoiding 0 0 0 and 0 1 1 horizontally and 0 0 1 and 1 0 1 vertically.at n=5A207022
- Number of 6Xn 0..1 arrays avoiding 0 0 0 and 0 1 1 horizontally and 0 0 1 and 1 0 1 vertically.at n=5A207029
- Numbers n for which n=(n'' mod n'), where n' and n'' are the first and second arithmetic derivative of n.at n=16A213241
- Number of n X n 0..2 arrays with antidiagonals unimodal.at n=2A223570
- Number of nX3 0..2 arrays with antidiagonals unimodal.at n=2A223571
- T(n,k)=Number of nXk 0..2 arrays with antidiagonals unimodal.at n=12A223576