4476
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 21
- Digital Root
- 3
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 4
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 10472
- Proper Divisor Sum (Aliquot Sum)
- 5996
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 1488
- Möbius Function
- 0
- Radical
- 2238
- 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
- yes
- Odd
- no
Appears in sequences
- Truncated square numbers: 7*n^2 + 4*n + 1.at n=25A005892
- Numbers n such that n! has a square number of digits.at n=48A006488
- Coordination sequence T2 for Zeolite Code FER.at n=41A008107
- Coordination sequence T5 for Zeolite Code MEL.at n=43A008154
- Coordination sequence T3 for Zeolite Code MTW.at n=44A008198
- Coordination sequence for sigma-CrFe, Position Xc.at n=17A009961
- Number of ordered triples of integers from [ 1,n ] with no common factors between pairs.at n=44A015632
- Numbers k such that k^2 is palindromic in base 11.at n=25A029996
- 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 44.at n=23A031542
- Every run of digits of n in base 11 has length 2.at n=39A033009
- Number of partitions of n into parts not of the form 17k, 17k+7 or 17k-7. Also number of partitions with at most 6 parts of size 1 and differences between parts at distance 7 are greater than 1.at n=30A035968
- Number of partitions satisfying cn(0,5) < cn(1,5) + cn(4,5) + cn(2,5) + cn(3,5).at n=28A039848
- Sum of first n palindromic primes A002385.at n=16A046485
- Number of rooted trees with n nodes with every leaf at height 4.at n=18A048809
- Discriminants of real quadratic number fields K with class number 2 such that the Hilbert class field of K is K(sqrt(3)).at n=28A052477
- Triangle T(n,k) (0<= k <=n) read by rows. Left edge is 1, 0, 0, ... Otherwise each entry is sum of entry to left, entries immediately above it to left and right and entry directly above it 2 rows back.at n=34A059283
- Dimension of the space of weight n cuspidal newforms for Gamma_1( 77 ).at n=20A063350
- Number of orbits in A002619 consisting of n permutations.at n=8A064852
- Number of humps in all Motzkin paths of length n. (A hump is an upstep followed by 0 or more flatsteps followed by a downstep.)at n=10A097861
- Sum of the first 10^n-th decimal digits of Pi.at n=3A098958