7396
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 25
- Digital Root
- 7
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 9
- Divisor Sum
- 13251
- Proper Divisor Sum (Aliquot Sum)
- 5855
- 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
- 3612
- Möbius Function
- 0
- Radical
- 86
- 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
- yes
- 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
- 70
- 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
- yes
- Achilles Number
- no
- Perfect Power
- yes
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- yes
- Odd
- no
Appears in sequences
- Number of nonzero coefficients of order n in Baker-Campbell-Hausdorff expansion.at n=14A005489
- Even squares: a(n) = (2*n)^2.at n=43A016742
- a(n) = (3n+2)^2.at n=29A016790
- a(n) = (4n + 2)^2.at n=21A016826
- a(n) = (5*n + 1)^2.at n=17A016862
- a(n) = (6*n + 2)^2.at n=14A016934
- a(n) = (7*n+2)^2.at n=12A017006
- a(n) = (8*n+6)^2.at n=10A017138
- a(n) = (9*n + 5)^2.at n=9A017222
- a(n) = (10*n + 6)^2.at n=8A017342
- a(n) = (11*n + 9)^2.at n=7A017498
- a(n) = (12*n + 2)^2.at n=7A017546
- Fibonacci sequence beginning 1, 19.at n=14A022109
- Expansion of Product_{m>=1} (1-m*q^m)^20.at n=5A022680
- Smallest square containing n-th prime as substring.at n=20A029945
- Numbers with 9 divisors.at n=26A030627
- Smallest extension of n-th prime which is a square.at n=20A030671
- Numbers whose set of base-12 digits is {3,4}.at n=25A032836
- Decimal part of a(n)^(1/4) starts with a 'nine digits' anagram.at n=0A034279
- Decimal part of a(n)^(1/n) starts with a 'nine digits' anagram.at n=2A035136