2474
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 17
- Digital Root
- 8
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 3714
- Proper Divisor Sum (Aliquot Sum)
- 1240
- 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
- 1236
- Möbius Function
- 1
- Radical
- 2474
- 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
- 27
- 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
- Numbers k such that phi(k) = phi(k+2).at n=40A001494
- Squares written in base 9.at n=42A002442
- Numbers k where |cos(k)| (or |cosec(k)| or |cot(k)|) decreases monotonically to 0; also numbers k where |tan(k)| (or |sec(k)|, or |sin(k)|) increases.at n=12A004112
- Coordination sequence T3 for Zeolite Code VET.at n=30A009904
- Coordination sequence for Ni2In, Position Ni1 and In.at n=15A009941
- Expansion of 1/(1-x^3-x^4-x^5-x^6-x^7-x^8).at n=26A017821
- Numbers k such that the continued fraction for sqrt(k) has period 23.at n=6A020362
- Fibonacci sequence beginning 1, 10.at n=13A022100
- Convolution of Lucas numbers and (F(2), F(3), F(4), ...).at n=10A023619
- Least k such that tan(k) > tan(a(n-1)), for n >= 1, where a(0) = 0.at n=23A024814
- a(n) = sum of the numbers between the two n's in A026358.at n=25A026361
- a(n) = T(n,n-3), T given by A026568. Also a(n) = number of integer strings s(0),...,s(n) counted by T, such that s(n)=3.at n=8A026572
- Duplicate of A026572.at n=8A026588
- Numbers k such that the continued fraction for sqrt(k) has odd period and if the last term of the periodic part is deleted then there are a pair of central terms both equal to 3.at n=34A031416
- Numbers whose set of base-5 digits is {3,4}.at n=41A032829
- Numbers k such that the sum of the first k primes is a square.at n=1A033997
- Number of partitions of n into parts not of the form 19k, 19k+4 or 19k-4. Also number of partitions with at most 3 parts of size 1 and differences between parts at distance 8 are greater than 1.at n=28A035973
- Number of partitions in parts not of the form 21k, 21k+1 or 21k-1. Also number of partitions with no part of size 1 and differences between parts at distance 9 are greater than 1.at n=34A035979
- Offsets for the Atkin Partition Congruence theorem.at n=28A036492
- Number of partitions of 5n such that cn(1,5) = cn(4,5) <= cn(2,5) = cn(3,5) <= cn(0,5).at n=10A036882