12461
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 14
- Digital Root
- 5
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 13212
- Proper Divisor Sum (Aliquot Sum)
- 751
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 11712
- Möbius Function
- 1
- Radical
- 12461
- 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
- 63
- 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
- no
- Odd
- yes
Appears in sequences
- Define {b(n)} by b(1)=3, b(n) (n >= 2) is the smallest number such that b(1)^2 + ... + b(n)^2 = m^2 for some m and all b(i) are distinct. Sequence gives values of m.at n=6A018928
- a(n) = least m such that if r and s in {1/2, 1/4, 1/6, ..., 1/2n} satisfy r < s, then r < k/m < (k+4)/m < s for some integer k.at n=36A024848
- a(n) = A027052(n, 2n-6).at n=9A027062
- a(n) = T(n, 2*n-5), T given by A027926.at n=16A027928
- Numbers k such that the continued fraction for sqrt(k) has odd period and if the last term of the periodic part is deleted the two central terms are both 11.at n=14A031599
- a(n) = T(n,n-5), array T as in A055801.at n=34A055805
- a(n) = Sum_{k + l*m <= n} (k + l*m), with 0 <= k,l,m <= n.at n=18A106846
- Ulam's spiral (NNE spoke).at n=28A143861
- Constant term of the reduction of the n-th cyclotomic polynomial by x^2->x+1.at n=34A192233
- Number of n-node rooted identity trees with thinning limbs and root outdegree (branching factor) 3.at n=14A245122
- Numbers k such that k!4 + 2^6 is prime, where k!4 = k!!!! is the quadruple factorial number (A007662).at n=25A291347
- Numbers k such that (58*10^k + 419)/9 is prime.at n=16A294526
- Expansion of (1/(1 - x))*Product_{k>=1} (1 - x^(3*k))/(1 - x^k).at n=33A304630
- Numbers k such that the largest prime divisor of k^4+1 is less than k.at n=13A309562
- Number of integer partitions of n with a permutation that has no consecutive monotone triple, i.e., no triple (..., x, y, z, ...) such that either x <= y <= z or x >= y >= z.at n=36A344740
- a(n) = Sum_{k=1..n} (-1)^(k+1) * floor((n/k)^3).at n=23A350222