4054
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 13
- Digital Root
- 4
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 6084
- Proper Divisor Sum (Aliquot Sum)
- 2030
- 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
- 2026
- Möbius Function
- 1
- Radical
- 4054
- 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
- 157
- 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
- 'Eban' numbers (the letter 'e' is banned!).at n=53A006933
- Coordination sequence T2 for Zeolite Code RTH.at n=44A009894
- Number of parts in all partitions of n into distinct parts.at n=37A015723
- Expansion of 1/((1-3x)(1-5x)(1-7x)(1-8x)).at n=3A028059
- 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 62.at n=15A031560
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 42 ones.at n=12A031810
- Multiplicity of highest weight (or singular) vectors associated with character chi_15 of Monster module.at n=35A034403
- Cycle of 2 steps possible for 'concatenate a(n) and nextprime(a(n)) is a prime'.at n=30A034592
- a(n) = least number not of form [ (a^2+b^2)/n ].at n=24A036574
- Digit sum of 'even' number equals digit sum of 'sum' and 'juxtaposition' of its prime factors (counted with multiplicity).at n=41A036926
- Positive numbers having the same set of digits in base 9 and base 10.at n=20A037443
- Denominators of continued fraction convergents to sqrt(807).at n=7A042557
- a(n) = Sum_{h=0..n, k=0..n} T(h,k), array T counting knights' moves as in A049604.at n=21A047881
- Numbers n such that prime(n) - sigma(n) - phi(n) = prime(n+1) - sigma(n+1) - phi(n+1), where sigma(n) = sum of divisors of n.at n=40A048783
- a(n) = ceiling(binomial(n,4)/n).at n=47A053618
- Numbers k such that k and k+1 are modest (cf. A054986).at n=9A055018
- Coordination sequence T2 for Zeolite Code ASV.at n=45A057311
- Numbers k such that 10*13^k + 1 is prime.at n=13A057464
- McKay-Thompson series of class 34A for Monster.at n=33A058638
- Interprimes (A024675) which are of the form s*prime, s=2.at n=30A075277