5272
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
- 8
- Divisor Sum
- 9900
- Proper Divisor Sum (Aliquot Sum)
- 4628
- 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
- 2632
- Möbius Function
- 0
- Radical
- 1318
- Omega Function (Ω)
- 4
- 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
- yes
- 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
- 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
- a(n) = solution to the postage stamp problem with 3 denominations and n stamps.at n=42A001208
- Numbers that are the sum of 11 positive 7th powers.at n=30A003378
- arcsin(arcsin(arctanh(x)))=x+4/3!*x^3+92/5!*x^5+5272/7!*x^7+567440/9!*x^9...at n=3A012135
- Numbers k such that the continued fraction for sqrt(k) has period 58.at n=35A020397
- Number of compositions (ordered partitions) of n into powers of 2.at n=16A023359
- a(n) = Sum_{k=0..n-1} T(n,k) * T(n,k+1), with T given by A026637.at n=6A026967
- Least k such that 1+2+...+k >= E{1,2,...,n}, where E is the 4th elementary symmetric function.at n=13A027918
- 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 17.at n=37A031515
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 34 ones.at n=29A031802
- Denominators of continued fraction convergents to sqrt(804).at n=7A042551
- Composite n such that phi(n+4) = phi(n)+4.at n=36A056773
- Numbers k such that k*2^m-1 are composites for all exponents m in the range 0<=m<=k.at n=20A061154
- Expansion of Product_{i in A069909} 1/(1 - x^i).at n=56A069911
- Numbers n such that [A070080(n), A070081(n), A070082(n)] is an integer triangle with integer area, having relatively prime side lengths.at n=37A070143
- Numbers k such that [A070080(k), A070081(k), A070082(k)] is an obtuse integer triangle with integer area.at n=28A070147
- Multiples of 4 using only prime digits (2, 3, 5 and 7).at n=41A077534
- Numbers in A086473 corresponding to the unique product of two numbers having the unique sum of A086533.at n=21A086860
- Numbers n such that numerator(Bernoulli(2*n)/(2*n)) is different from numerator(Bernoulli(2*n)/(2*n*(2*n+1))).at n=18A090177
- a(n) = n*(n^4 + 30*n^3 + 395*n^2 + 2910*n + 11064)/120.at n=8A090391
- Number of compositions of n into divisors of n.at n=16A100346