3124
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 10
- Digital Root
- 1
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 6048
- Proper Divisor Sum (Aliquot Sum)
- 2924
- 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
- 1400
- Möbius Function
- 0
- Radical
- 1562
- Omega Function (Ω)
- 4
- Little Omega Function (ω)
- 3
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
- 123
- 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
- yes
- Odd
- no
Appears in sequences
- Number of triangular cacti with 2n+1 nodes (n triangles).at n=11A003081
- Coordination sequence T3 for Zeolite Code FER.at n=34A008108
- Least nonsquare having square residues for all moduli 2 through n.at n=15A018883
- Least nonsquare having square residues for all moduli 2 through n.at n=16A018883
- Positive numbers k such that k = x^5 + y^5 has a solution in nonzero integers x, y.at n=19A020896
- Expansion of Product_{m>=1} (1-m*q^m)^-11.at n=4A022735
- a(n) = [ a(n-1)/a(1) + a(n-2)/a(2) + ... + a(1)/a(n-1) ], for n >= 3.at n=15A022857
- Self-convolution of natural numbers >= 3.at n=21A023551
- a(n) = 5^n - 1.at n=5A024049
- n written in fractional base 5/3.at n=24A024633
- a(n) = A027052(n, 2n-3).at n=8A027059
- Greatest number in row n of array T given by A027052.at n=10A027071
- Number of partitions of n that do not contain 3 as a part.at n=31A027337
- a(n) = n^4 - 6*n^3 + 12*n^2 - 4*n + 1.at n=9A027382
- Decimal representation of permutations of lengths 1, 2, 3, ... arranged lexicographically.at n=21A030299
- Base-5 palindromes that start with 4.at n=36A043009
- Numbers k such that the string 5,1 occurs in the base 9 representation of k but not of k-1.at n=42A044297
- Numbers k such that the string 2,4 occurs in the base 10 representation of k but not of k-1.at n=34A044356
- Numbers n such that string 2,4 occurs in the base 10 representation of n but not of n+1.at n=34A044737
- Numbers whose base-4 representation contains exactly three 0's and two 3's.at n=34A045078