16003
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 10
- Digital Root
- 1
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 17248
- Proper Divisor Sum (Aliquot Sum)
- 1245
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 14760
- Möbius Function
- 1
- Radical
- 16003
- 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
- 53
- 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
- Numbers k such that the continued fraction for sqrt(k) has period 92.at n=38A020431
- Numbers k that divide the sum of the first k partition numbers (A000041) and the sum of the first k unique partition numbers (A000009).at n=11A059218
- Engel expansion of zeta(7)=sum(i>0,1/i^7).at n=6A067915
- a(n) = 9*n^2 + 3*n + 1.at n=42A082040
- Greatest number, not divisible by 4, having exactly n partitions into three squares.at n=5A095811
- Greatest number, not divisible by 4, having exactly n partitions into three positive squares.at n=5A095812
- k such that k-th prime is of the form 2n^2 + 3n + 3.at n=39A096690
- p^2-p+1 central polygonal numbers with prime indices A002061(prime(n)).at n=30A119959
- a(n) is the self-convolution series of the sum of 4th powers of the first n natural numbers.at n=4A145217
- Triangle T(n,k) with T(n,0)=1 and T(n,k) = (2^(n+1)-2^k)*T(n,k-1) + T(n+1,k-1) otherwise.at n=23A194583
- Numbers n such that the greatest prime divisor p of n^2+1 has the property that (p - n)^2 + 1 = p.at n=46A206246
- Number of compositions of n with at most one even part.at n=18A208354
- Triangle of coefficients of polynomials u(n,x) jointly generated with A210599; see the Formula section.at n=53A210598
- Number of n X 6 0..2 arrays with no element equal to one plus the sum of elements to its left or one plus the sum of elements above it or one plus the sum of the elements diagonally to its northwest, modulo 3.at n=20A239359
- Floor(6^n/(1+1/(2*cos(5*Pi/11)))^n).at n=34A240840
- Number of permutations p of [n] such that p(i) > p(i+1) iff i == 1 (mod 8).at n=14A250264
- Least m > 0 such that m*n^3 + 1 is a cube.at n=5A266236
- Triangle T(n,k) read by rows, where the k-th column is the shifted self-convolution of the power function n^k, n >= 0, 0 <= k <= n.at n=59A306548
- Composite numbers k such that k-1 divides 2^k-2.at n=21A330382
- Matula-Goebel numbers of semi-lone-child-avoiding rooted identity trees.at n=41A331963