12648
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 21
- Digital Root
- 3
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 5
Divisibility
- Divisor Count
- 32
- Divisor Sum
- 34560
- Proper Divisor Sum (Aliquot Sum)
- 21912
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 3840
- Möbius Function
- 0
- Radical
- 3162
- Omega Function (Ω)
- 6
- Little Omega Function (ω)
- 4
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
- 81
- Smith Number
- yes
- 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 monosubstituted alkanes C(n-1)H(2n-1)-X with n-1 carbon atoms that are stereoisomers.at n=12A000620
- Number of partitions of 1/n into 4 reciprocals of positive integers.at n=22A020327
- a(n) = ((7*n+10)(!^7))/10(1^7), related to A034830 (((7*n+3)(!^7))/3 sept-, or 7-factorials).at n=3A053106
- Numbers n such that the arithmetic, geometric and harmonic means of phi(n) and sigma(n) are all integers.at n=12A065146
- A129027(n)/4.at n=8A129028
- Nonnegative values x of solutions (x, y) to the Diophantine equation x^2 + (x+127)^2 = y^2.at n=8A129992
- Numbers k such that 12^k + 5 is prime.at n=12A137652
- 3 times 11-gonal (or hendecagonal) numbers: a(n) = 3*n*(9*n-7)/2.at n=31A153783
- Numbers k such that sigma(k) = 9*phi(k).at n=7A163667
- Number of n X 4 1..2 arrays containing at least one of each value, all equal values connected, rows considered as a single number in nondecreasing order, and columns considered as a single number in nondecreasing order.at n=20A166805
- Partial sums of floor(3^n/7).at n=10A178704
- Numbers divisible by at least four of their digits, different and >1.at n=28A187238
- n*(n^2-2*n-1).at n=23A214446
- Number of partitions p of n such that the m(M(p)) is a part, where m = multiplicity, M = the minimum multiplicity of the parts of p.at n=39A240539
- a(n) = Sum_{k=0..n} p(k)^2, where p(k) is the partition function A000041.at n=12A259399
- Primitive balanced numbers: primitive numbers not of the form m*n where m, n > 1 are both primitive.at n=52A291565
- Integers n such that sigma(n)/phi(n) is a perfect square.at n=19A293391
- Number of Dyck paths of semilength n having maximal degree of asymmetry, namely n-1 for n>2 and 0 otherwise.at n=12A298647
- Number of n X 3 0..1 arrays with every element equal to 0, 1, 3, 5, 6 or 8 king-move adjacent elements, with upper left element zero.at n=19A299446
- 2*a(n) is the first of 5 consecutive even numbers that are sums of divisors, i.e., terms of A000203.at n=37A342560