12372
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 15
- Digital Root
- 6
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 28896
- Proper Divisor Sum (Aliquot Sum)
- 16524
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 4120
- Möbius Function
- 0
- Radical
- 6186
- 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
- 125
- 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
- a(n) = floor( n*(n-1)*(n-2)*(n-3)/29 ).at n=26A011939
- Convolution of (1, p(1), p(2), ...) and composite numbers.at n=23A023627
- Number of 2 X n matrices over GF(3) under row and column permutations.at n=9A052267
- Number of labeled trees with n nodes and 2-colored internal (non-leaf) nodes.at n=6A052317
- Number of permutations of length n which avoid the patterns 1243, 2341, 4321.at n=13A116825
- Cascadence of (1+2x)^2; a triangle, read by rows of 2n+1 terms, that retains its original form upon convolving each row with [1,4,4] and then letting excess terms spill over from each row into the initial positions of the next row such that only 2n+1 terms remain in row n for n>=0.at n=26A120914
- Number of bridged bicyclic skeletons with n carbon atoms (see Parks et al. for precise definition).at n=10A121331
- Number of binary strings of length n with no substrings equal to 0001 or 0010.at n=16A164392
- Riordan matrix (1/((1-x)*sqrt(1-4*x)),x/(1-x)).at n=58A187887
- Duplicate of A164392.at n=16A212588
- Number of (n+1) X (1+1) 0..3 arrays with the maximum minus the lower median of every 2 X 2 subblock differing from its horizontal and vertical neighbors by exactly one.at n=2A238306
- Number of (n+1)X(3+1) 0..3 arrays with the maximum minus the lower median of every 2X2 subblock differing from its horizontal and vertical neighbors by exactly one.at n=0A238308
- T(n,k)=Number of (n+1)X(k+1) 0..3 arrays with the maximum minus the lower median of every 2X2 subblock differing from its horizontal and vertical neighbors by exactly one.at n=3A238311
- T(n,k)=Number of (n+1)X(k+1) 0..3 arrays with the maximum minus the lower median of every 2X2 subblock differing from its horizontal and vertical neighbors by exactly one.at n=5A238311
- Number of length 1+3 0..n arrays with no pair in any consecutive four terms totalling exactly n.at n=10A246480
- Numbers n such that 4n + 1, 4n + 2 and 4n + 3 are not squarefree.at n=28A258332
- Positive even numbers which are neither of the form p + 2^m + 1 nor of the form p + 2^m - 1 with p prime.at n=14A270446
- Numbers k such that (2^k + 5) / 3 is prime.at n=17A273009
- Number of integer partitions of n where the parts do not have the same median as the distinct parts.at n=35A360244
- Number of finite sets of positive integers whose right half (inclusive) sums to n.at n=47A360955