4977
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 27
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 5
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 8320
- Proper Divisor Sum (Aliquot Sum)
- 3343
- 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
- 2808
- Möbius Function
- 0
- Radical
- 1659
- Omega Function (Ω)
- 4
- 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
- no
- Narcissistic Number
- no
- Collatz Steps
- 90
- 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
- no
- Odd
- yes
Appears in sequences
- Expansion of (1-x^7)/(1-x)^7.at n=9A008489
- a(n) is nonsquarefree and is sum of first k nonsquarefrees for some k.at n=27A013935
- Number of sums S of distinct positive integers satisfying S <= n.at n=35A026906
- Number of partitions of n that do not contain 10 as a part.at n=30A027344
- Numbers ending with '7' that are the difference of two positive cubes.at n=28A038862
- a(n) = (n+3)^3 - n^3.at n=21A038865
- A Diaconis-Mosteller approximation to the Birthday problem function.at n=25A050255
- Numbers that are the sum of two (possibly negative) cubes in at least 2 ways.at n=19A051347
- Numbers whose 4th power can be expressed as the sum of two positive cubes in more than one way.at n=4A051388
- Triangle read by rows: T(n,k) = number of k-covers of a labeled n-set, k=1..2^n-1.at n=16A055154
- Numbers with more than one factorization into S-primes. See A054520 and A057948 for definition.at n=28A057949
- Numbers primitive with respect to having more than one factorization into S-primes. See related sequences for definition.at n=25A057950
- a(n) = 4^n + 5^n + 8^n.at n=4A074563
- Integer averages of two successive perfect powers (pp(n) + pp(n+1))/2.at n=18A075454
- a(1) = 1; for n>1, a(n)= smallest number greater than the previous term such that a(n-1)*a(n) + 1 is a palindrome.at n=12A081941
- Numbers k such that p=k^2+2 and p+2 are primes.at n=45A086381
- Fifth diagonal (m=4) of triangle A084938; a(n) = A084938(n+4,n) = (n^4 + 18*n^3 + 131*n^2 + 426*n)/24.at n=14A090386
- Beginning with 1, least multiple of n such that every partial sum is a perfect cube.at n=8A090960
- Number of 6-block covers of a labeled n-set.at n=1A095155
- Partial sums of A056272.at n=7A099265