2974
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
- 2
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 4464
- Proper Divisor Sum (Aliquot Sum)
- 1490
- 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
- 1486
- Möbius Function
- 1
- Radical
- 2974
- Omega Function (Ω)
- 2
- 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
- 97
- Smith Number
- yes
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- yes
- Squarefree Number
- yes
- 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
- Numbers k such that k and k+1 have same sum of divisors.at n=7A002961
- Coordination sequence T2 for Zeolite Code VFI.at n=42A008246
- Coordination sequence T3 for Zeolite Code -CLO.at n=48A009852
- Partial sums of A014138.at n=7A014143
- Numbers k such that the continued fraction for sqrt(k) has period 88.at n=3A020427
- Sequence satisfies T^2(a)=a, where T is defined below.at n=49A027586
- 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 54.at n=5A031552
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 38 ones.at n=5A031806
- Numbers k such that 43*2^k+1 is prime.at n=14A032371
- Numbers k such that 205*2^k+1 is prime.at n=12A032479
- a(n) is square mod a(i), i < n.at n=13A034791
- Digit sum of 'even' number equals digit sum of 'sum' and 'juxtaposition' of its prime factors (counted with multiplicity).at n=30A036926
- Numbers k such that k-th and (k+1)-st term of A038593 differ by 6.at n=20A038637
- Numbers n such that string 7,4 occurs in the base 10 representation of n but not of n-1.at n=32A044406
- Numbers n such that string 7,4 occurs in the base 10 representation of n but not of n+1.at n=32A044787
- Numbers whose base-5 representation contains exactly two 3's and three 4's.at n=4A045303
- Largest number m with A046805(m) = n.at n=33A046806
- a(n) = A047098(n)/2.at n=5A047099
- Triangle T(n,k) (n >= 1, k >= 1) giving filtration of bigrading of Hopf algebra of rooted trees.at n=67A052253
- Number of nonnegative integer 7 X 7 matrices with sum of elements equal to n, under row and column permutations.at n=8A052373