4477
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 22
- Digital Root
- 4
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 4
Divisibility
- Divisor Count
- 6
- Divisor Sum
- 5054
- Proper Divisor Sum (Aliquot Sum)
- 577
- 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
- 3960
- Möbius Function
- 0
- Radical
- 407
- Omega Function (Ω)
- 3
- 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
- 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
- Coordination sequence T2 for Zeolite Code HEU.at n=44A008117
- Smallest positive number that can be written as sum of distinct Fibonacci numbers in n ways.at n=55A013583
- Coordination sequence T7 for Zeolite Code TER.at n=45A016439
- Discriminants of quintic fields with 4 complex conjugates.at n=20A023685
- Number of distinct products ijk with 1 <= i,j,k <= n.at n=40A027425
- Numbers k such that k^2 is palindromic in base 8.at n=29A029805
- Sort then Add, a(1)=7.at n=10A033895
- Conjecturally, a power of 2 written in base 3 cannot have this many 0's.at n=39A036462
- Numbers whose base-4 representation contains exactly four 1's and two 3's.at n=17A045131
- Number of singular points on n-th order Chmutov surface.at n=22A057870
- McKay-Thompson series of class 50A for Monster.at n=52A058701
- Composite numbers k such that the sum of the proper divisors of k not including 1, (Chowla's function, A048050) and their product (A007956) are both perfect squares.at n=16A064180
- Numbers k such that phi(k) mod core(k) = 1 where core(k) is the squarefree part of k.at n=37A069946
- Numbers k such that k^2 is a term of A072510.at n=48A072327
- Squares written backwards and sorted, duplicates removed.at n=48A074896
- a(n) = A076070(n)/n.at n=3A076071
- Where records occur in numerators of Kepler's tree of harmonic fractions (A093873).at n=46A095725
- Coefficients of the C-Rogers mod 14 identity.at n=36A105782
- Beginning with 3, least number such that concatenation of first n terms and its digit reversal both are primes.at n=20A111382
- Maximal number of regions obtained by a straight line drawing of the complete bipartite graph K_{n,n}.at n=11A117717