7392
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
- 5
Divisibility
- Divisor Count
- 48
- Divisor Sum
- 24192
- Proper Divisor Sum (Aliquot Sum)
- 16800
- 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
- 1920
- Möbius Function
- 0
- Radical
- 462
- Omega Function (Ω)
- 8
- 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
- 132
- 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
- Number of labeled rooted trees of height 2 with n nodes.at n=4A000551
- Numbers k such that 15*2^k + 1 is prime.at n=29A002258
- Theta series of 6-dimensional lattice A_6^(2) (other names for this lattice or the corresponding quadratic form are LAMBDA_{3,lambda}, P_6^(5), phi_6, F_14).at n=37A002706
- Denominators of Cauchy numbers of second type (= Bernoulli numbers B_n^{(n)}).at n=31A002790
- Denominators of Cauchy numbers of first type.at n=31A006233
- Coordination sequence for 4-dimensional cubic lattice (points on surface of 4-dimensional cross-polytope).at n=14A008412
- Theta series of {D_9}* lattice.at n=24A008424
- Theta series of D_9 lattice.at n=3A008431
- Theta series of {D_6}^{+} lattice.at n=43A008434
- Theta series of {D_9}^{+} packing.at n=24A008436
- Number of ways of writing n as a sum of 9 squares.at n=6A008452
- Coordination sequence for C_4 lattice.at n=7A019560
- 4th-order Patalan numbers (generalization of Catalan numbers).at n=5A025749
- Expansion of (theta_3(z)*theta_3(11z) + theta_2(z)*theta_2(11z))^3.at n=43A028611
- Expansion of (theta_3(z^4)^3 + theta_2(z^4)^3)^3.at n=24A028696
- Numbers k such that k divides the (left) concatenation of all numbers <= k written in base 25 (most significant digit on right and removing all least significant zeros before concatenation).at n=11A029542
- 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 41.at n=39A031539
- Every run of digits of n in base 15 has length 2.at n=39A033013
- Multiplicity of highest weight (or singular) vectors associated with character chi_47 of Monster module.at n=50A034435
- Triangle read by rows giving number of rooted labeled trees with n >= 2 nodes and height d >= 1.at n=16A034855