3870
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 18
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 24
- Divisor Sum
- 10296
- Proper Divisor Sum (Aliquot Sum)
- 6426
- 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
- 1008
- Möbius Function
- 0
- Radical
- 1290
- Omega Function (Ω)
- 5
- Little Omega Function (ω)
- 4
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
- yes
- Narcissistic Number
- no
- Collatz Steps
- 144
- 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
- Partial sums of (unordered) ways of making change for n cents using coins of 1, 2, 5, 10 cents.at n=46A000064
- Coordination sequence T3 for Zeolite Code RUT.at n=41A009899
- a(n) = floor( n*(n-1)*(n-2)/22 ).at n=45A011904
- Number of squarefree palindromes over {0, 1, 2} of length 2n+1.at n=28A012212
- a(n) = position of 3*n^2 in sequence A025051 (numbers of form j*k + k*i + i*j, without repetitions, where 1 <= i <= j <= k).at n=35A025056
- Convolution of Thue-Morse sequence A001285 with A008578 = {1, primes}.at n=37A029896
- Position of first occurrence of n in the continued fraction for the Laplace's limit constant.at n=44A033261
- Position of first occurrence of n in continued fraction for Copeland-Erdős constant.at n=48A033309
- a(n) = ceiling((n + 7/10)^3).at n=14A034133
- Period of n-countdown club-passing juggling pattern.at n=42A039720
- a(n) = 2*n^2 - 2.at n=43A054000
- Numbers k such that 2^k + 7 is prime.at n=32A057195
- Values of k for which A065358(k) is 0.at n=42A064940
- Bessel polynomial {y_n}''(-2).at n=4A065946
- Number of ternary squarefree necklaces.at n=30A066297
- Aliquot sequence starting at 570.at n=5A074907
- Products of members of pairs in A075333.at n=15A075337
- Sum of next n even interprimes.at n=9A075675
- Sum of square displacements over all self-avoiding walks on cubic lattice trapped after n steps. Numerator of mean square displacement a(n)/A077817(n).at n=3A079157
- Sum of n-th row of triangle in A081485.at n=44A081487