3928
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
- 3
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 7380
- Proper Divisor Sum (Aliquot Sum)
- 3452
- 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
- 1960
- Möbius Function
- 0
- Radical
- 982
- 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
- no
- Harshad Number
- no
- 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
- Coordination sequence T5 for Zeolite Code NON.at n=38A008216
- Expansion of tanh(tanh(log(1+x))).at n=7A009820
- sec(sinh(x)+sin(x))=1+4/2!*x^2+80/4!*x^4+3928/6!*x^6+359040/8!*x^8...at n=3A013031
- a(n) = least m such that if r and s in {1/1, 1/3, 1/5, ..., 1/(2n-1)} satisfy r < s, then r < k/m < (k+2)/m < s for some integer k.at n=27A024841
- 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 15.at n=28A031513
- Number of partitions of n into parts not of the form 23k, 23k+6 or 23k-6. Also number of partitions with at most 5 parts of size 1 and differences between parts at distance 10 are greater than 1.at n=29A035994
- Coordination sequence T3 for Zeolite Code AWO.at n=43A038405
- T(n,n+2), array T as in A047040; T(n+2,n), array T given by A047050.at n=7A047047
- Numbers n such that 183*2^n-1 is prime.at n=16A050843
- Number of labeled Eulerian digraphs with n nodes and an even number of edges.at n=4A054955
- Composite n such that phi(n+4) = phi(n)+4.at n=31A056773
- a(n) = least value such that sequence increases and pairwise differences are unique.at n=46A058336
- Engel expansion of 1/log(10) = 0.434294....at n=10A059184
- Numbers n such that n divides the (left) concatenation of all numbers <= n written in base 15 (most significant digit on right).at n=10A061968
- a(n) = floor(exp(n/Pi)).at n=25A062121
- Centered heptagonal numbers.at n=33A069099
- Centered 17-gonal numbers: (17*n^2 - 17*n + 2)/2.at n=21A069130
- Numbers n such that prime(n) + prime(n+1) is a cube.at n=3A071220
- Largest eigenvalue, rounded to the nearest integer, of a rank n matrix of 1..n^2 filled successively along antidiagonals (A069480).at n=18A072332
- Numbers k such that phi(k-1) < phi(k) < phi(k+1), where phi is the Euler totient function (A000010).at n=32A078776