2403
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 9
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 3600
- Proper Divisor Sum (Aliquot Sum)
- 1197
- 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
- 1584
- Möbius Function
- 0
- Radical
- 267
- 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
- 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
- yes
- Narcissistic Number
- no
- Collatz Steps
- 58
- 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
- no
- Achilles Number
- no
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Coordination sequence T1 for Zeolite Code FER.at n=30A008106
- a(0) = 1, a(n) = n^2 + 2 for n > 0.at n=49A010000
- Base-5 Armstrong or narcissistic numbers, written in base 5.at n=9A010345
- Least d such that period of continued fraction for sqrt(d) contains n (n^2+2 if n odd, (n/2)^2+1 if n even).at n=48A013945
- Coordination sequence T2 for Zeolite Code OSI.at n=32A016431
- Fibonacci sequence beginning 0, 27.at n=11A022361
- 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 49.at n=0A031547
- Numbers k such that the least term in the periodic part of the continued fraction for sqrt(k) is 49.at n=0A031727
- Lucky numbers with size of gaps equal to 8 (upper terms).at n=24A031891
- Numbers n such that fractional part of e^(Pi*sqrt(n)) > 0.99.at n=43A035484
- Positive numbers having the same set of digits in base 3 and base 7.at n=29A037419
- a(n)=A033005(n)/8.at n=43A043311
- Numbers whose base-7 representation contains exactly three 0's.at n=7A043395
- Numbers n such that string 2,6 occurs in the base 9 representation of n but not of n-1.at n=33A044275
- Numbers n such that string 6,0 occurs in the base 9 representation of n but not of n-1.at n=32A044305
- Numbers k such that the string 0,3 occurs in the base 10 representation of k but not of k-1.at n=25A044335
- Numbers n such that string 6,0 occurs in the base 9 representation of n but not of n+1.at n=32A044686
- Numbers n such that string 0,3 occurs in the base 10 representation of n but not of n+1.at n=25A044716
- Integers k such that in the list of divisors of k (in base 5), each digit 0-4 appears equally often.at n=1A045869
- Number of anagrams of A046888(n) that are primes.at n=50A046889