10128
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 12
- Digital Root
- 3
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 20
- Divisor Sum
- 26288
- Proper Divisor Sum (Aliquot Sum)
- 16160
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 3360
- Möbius Function
- 0
- Radical
- 1266
- Omega Function (Ω)
- 6
- 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
- yes
- Harshad Number
- yes
- Narcissistic Number
- no
- Collatz Steps
- 34
- 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
- Expansion of (1/theta_4(q)^2 -1)/4 in powers of q.at n=13A002318
- Numbers k such that 243*2^k+1 is prime.at n=23A032498
- Number of partitions satisfying 0 < cn(0,5) + cn(1,5) + cn(4,5) + cn(2,5) and 0 < cn(0,5) + cn(1,5) + cn(4,5) + cn(3,5).at n=33A039904
- Numbers whose base-10 representation has exactly 5 runs.at n=16A043641
- Expansion of 1 + 2/(1-2*x-x^3).at n=12A052910
- Numbers k such that k^2 contains exactly 9 different digits.at n=1A054037
- prime(2n) + prime(n) == 0 (mod n).at n=17A066896
- Smallest even number divisible by 2n which is nontotient, i.e., in A005277.at n=23A071616
- Number of positions that are exactly n moves from the starting position in the Halpern-Meier Pyramid puzzle.at n=5A079746
- Starting term of the smallest n-chain of numbers whose squares are permutations of the same digits.at n=20A085546
- a(n) = smallest k such that the Reverse and Add! trajectory of A063048(n) joins the trajectory of k.at n=11A089493
- Expansion of e.g.f. exp(2*x)/(1-4*x).at n=4A097820
- a(n) = n^2*(n^6 + 28*n^4 + 154*n^2 + 132)/315.at n=6A099195
- Starting numbers for which the RATS sequence has eventual period 14.at n=35A114615
- a(n) = floor(((1+sqrt(2))/2)^n).at n=48A125894
- Records in A153004.at n=41A153838
- Values of n such that n^a-+a are primes, a=5.at n=11A155021
- a(n) = smallest number m such that m^2 and n^2 share no common digits and m^2 and n^2 together use all 10 digits, a(n) = 0 if no such m exists.at n=2A158931
- Numbers n such that 9n^2 is a zeroless pandigital number.at n=29A162859
- Triangle read by rows, A095989 convolved with A000670.at n=33A163204