7454
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 20
- Digital Root
- 2
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 11184
- Proper Divisor Sum (Aliquot Sum)
- 3730
- 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
- 3726
- Möbius Function
- 1
- Radical
- 7454
- 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
- 70
- Smith Number
- no
- 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
- Number of equivalence classes of n X n matrices over {0,1} with rows and columns summing to 3, where equivalence is defined by row and column permutations.at n=10A000512
- a(0) = 1, a(n) = 23*n^2 + 2 for n>0.at n=18A010013
- Numbers k such that the continued fraction for sqrt(k) has period 72.at n=27A020411
- 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 86.at n=4A031584
- Number of partitions of n into parts not of the form 11k, 11k+4 or 11k-4. Also number of partitions with at most 3 parts of size 1 and differences between parts at distance 4 are greater than 1.at n=37A035947
- Expansion of series related to Liouville's Last Theorem: g.f. Sum_{t>0} (-1)^(t+1) *x^(t*(t+1)/2) / ( (1-x^t)^3 *Product_{i=1..t} (1-x^i) ).at n=41A059820
- G.f. satisfies: A(x) = x + x*A(x) + x*A(A(x)).at n=6A120574
- Triangle with number of equivalence classes of n X n matrices over {0,1} with rows and columns summing to k (0<=k<=n), where equivalence is defined by row and column permutations.at n=69A133687
- Triangle with number of equivalence classes of n X n matrices over {0,1} with rows and columns summing to k (0<=k<=n), where equivalence is defined by row and column permutations.at n=74A133687
- a(n) = 3*A146085(n) - 1.at n=42A146087
- Expansion of Product_{k > 0} (1 + A147665(k)*x^k).at n=26A147871
- Numerator of A166100(A166101(n))/A166102(n).at n=20A166272
- Numbers k such that there are 2 primes between 100*k and 100*k + 99.at n=18A186394
- Number of (n+1)X(n+1) -8..8 symmetric matrices with every 2X2 subblock having sum zero and two or three distinct values.at n=5A211469
- Numbers n such that 9^n + 3^(n+1) - 1 is prime.at n=20A214700
- Semiprimes whose decimal representation has only digits in {4,5,7}.at n=30A217124
- Number of tilings of a 7 X n rectangle using integer-sided square tiles of area > 1.at n=32A226371
- Number of n-node unlabeled rooted trees with thickening limbs and root outdegree (branching factor) 6.at n=42A245146
- Numbers k such that 7*R_(k+2) - 3*10^k is prime, where R_k = 11...1 is the repunit (A002275) of length k.at n=6A257030
- Number of nX4 0..1 arrays with every element equal to 0, 1, 3, 4, 5 or 6 horizontally, vertically or antidiagonally adjacent elements, with upper left element zero.at n=6A301494