7400
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 11
- Digital Root
- 2
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 24
- Divisor Sum
- 17670
- Proper Divisor Sum (Aliquot Sum)
- 10270
- 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
- 2880
- Möbius Function
- 0
- Radical
- 370
- Omega Function (Ω)
- 6
- 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
- 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
- a(n) = n*(n + 1)*(n^2 - 3*n + 5)/6.at n=15A006484
- Shifts 2 places left when e.g.f. is squared.at n=10A007558
- Even octagonal numbers: a(n) = 4*n*(3*n-1).at n=25A014642
- [ (4th elementary symmetric function of S(n))/(2nd elementary symmetric function of S(n)) ], where S(n) = {first n+3 positive integers congruent to 1 mod 3}.at n=12A024223
- a(n) = (prime(n+2)^2 - 1)/3.at n=32A024700
- 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 43.at n=16A031541
- Numbers k such that the least term in the periodic part of the continued fraction for sqrt(k) is 43.at n=1A031721
- Numbers k such that the decimal expansion of k! begins with k.at n=5A033147
- Number of nonempty subsets of {1,2,...,n} in which exactly 1/4 of the elements are <= (n-1)/2.at n=17A047174
- Number of nonempty subsets of {1,2,...,n} in which exactly 1/4 of the elements are <= (n-2)/2.at n=17A047185
- a(n) = Xpower(n,3).at n=26A048732
- a(n) = Sum_{k=1..n} k^6*binomial(n,k).at n=4A056468
- McKay-Thompson series of class 36A for Monster.at n=39A058644
- Dimension of the space of weight n cuspidal newforms for Gamma_1( 93 ).at n=31A063366
- Trajectory of 103 under the Reverse and Add! operation carried out in base 3, written in base 10.at n=6A077408
- Number of different cuboids with volume (pq)^n, where p,q are distinct prime numbers.at n=19A101427
- Period of the Lucas 3-step sequence A001644 mod prime(n).at n=34A106294
- Period of the Fibonacci 3-step sequence A000073 mod prime(n).at n=34A106302
- Octagonal numbers for which the product of the digits is also an octagonal number.at n=21A117083
- Sum of the interior angles of an n-sided polygon, in gradians.at n=36A117412