5354
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 17
- Digital Root
- 8
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 8034
- Proper Divisor Sum (Aliquot Sum)
- 2680
- 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
- 2676
- Möbius Function
- 1
- Radical
- 5354
- 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
- 72
- 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
- Expansion of e.g.f. sin(x)*sin(sinh(x)) (even powers only).at n=5A009547
- Expansion of e.g.f. sinh(sin(x))*exp(x).at n=10A009590
- Expansion of sinh(x)*exp(sin(x)).at n=10A009622
- Numbers k such that the continued fraction for sqrt(k) has period 17.at n=29A020356
- Pair up the numbers.at n=26A030655
- Numbers that, when expressed in base 7 and then interpreted in base 10, yield a multiple of the original number.at n=21A032549
- Denominators of continued fraction convergents to sqrt(75).at n=10A041133
- a(n) = Sum_{i=0..n} T(i,n-i), array T as in A049747.at n=25A049748
- a(n) = floor(47*(n-3/2)^(3/2)).at n=23A050256
- Discriminants of real quadratic fields with class number 2 and related continued fraction period length of 17.at n=4A051982
- Triangular array generated by its row sums: T(n,0)=1 for n >= 0, T(1,1)=2, T(n,k)=T(n,k-1)+d*r(n-k) for k=2,3,...,n, d=(-1)^(k+1), n >= 2, r(h)=sum of the numbers in row h of T.at n=37A054098
- Sum{T(n,k): k=0,1,...,n}, array T as in A054098.at n=7A054099
- Nearest integer to log(n!)^sqrt(n).at n=10A062454
- Numbers k that, when expressed in base 7 and then interpreted in base 10, give a multiple of k.at n=22A062944
- a(2n) = concatenation of 4n+1 and 4n+2, a(2n+1) = concatenation of the two most nearly equal numbers whose product is a(2n).at n=26A068517
- Partition the concatenation 1234567...of natural numbers into successive strings which are even, all different and > 2. (0 never taken as the most significant digit.)at n=33A077295
- Sum of n-th row of triangle in A082196.at n=20A082199
- Nontrivial slowest increasing sequence whose succession of digits is that of the nonnegative integers.at n=27A098080
- a(n) = ceiling(Pi^(n/2)).at n=15A102477
- Even elements of A085493.at n=7A106431