10122
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 6
- Digital Root
- 6
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 23232
- Proper Divisor Sum (Aliquot Sum)
- 13110
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 2880
- Möbius Function
- 1
- Radical
- 10122
- Omega Function (Ω)
- 4
- 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
- yes
- Harshad Number
- yes
- Narcissistic Number
- no
- Collatz Steps
- 42
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- 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
- yes
- Odd
- no
Appears in sequences
- Expansion of a modular function for Gamma_0(14).at n=20A002509
- Positive numbers k such that k and 2*k are anagrams of each other in base 3 (k is written here in base 3).at n=3A023058
- Expansion of 1/((1-x)(1-6x)(1-11x)(1-12x)).at n=3A024436
- Positive numbers having the same set of digits in base 3 and base 10.at n=37A037422
- Coefficients of monic primitive irreducible polynomials over GF(5) listed in lexicographic order.at n=26A058950
- Dimension of the space of weight n cuspidal newforms for Gamma_1( 91 ).at n=32A063364
- Coefficient of q^2 in nu(n), where nu(0)=1, nu(1)=b and, for n>=2, nu(n)=b*nu(n-1)+lambda*(1+q+q^2+...+q^(n-2))*nu(n-2) with (b,lambda)=(2,3).at n=8A074088
- Triangle read by rows in which row n >= 1 gives coefficients in expansion of the polynomial Sum_{k=1..n} (1/n)*binomial(n,k)*binomial(n,k-1)*x^(2k)*(1+x)^(2n-2k) / x^2 in powers of x.at n=54A086873
- a(n) = smallest k such that the Reverse and Add! trajectory of A063048(n) joins the trajectory of k.at n=19A089493
- "Lucas-digits": start with "13", append sum of first 2 digits to the preceding number, drop first digit.at n=12A093100
- a(n) = 98 written in base n.at n=2A095588
- a(n) = 98 written in base 10 - n.at n=7A095589
- Euler-Seidel matrix T(k,n) with start sequence A000248, read by antidiagonals.at n=32A098697
- Number of walks within N^3 (the first octant of Z^3) starting at (0,0,0) and consisting of n steps taken from {(-1, -1, 1), (-1, 1, 1), (0, 1, 1), (1, 0, -1), (1, 0, 1)}.at n=7A150638
- Triangle, read by rows, T(n, k) = binomial(n-1,k-1)*n!/k! + binomial(n-1, n-k)* n!/(n-k+1)! - n!.at n=22A169660
- Triangle, read by rows, T(n, k) = binomial(n-1,k-1)*n!/k! + binomial(n-1, n-k)* n!/(n-k+1)! - n!.at n=26A169660
- Primes in lunar arithmetic in base 3 written in base 3.at n=34A170806
- Number of kites, distinct up to congruence, on an n X n grid (or geoboard).at n=30A181946
- Numbers 3*n + 2 written in base 3.at n=32A190642
- Numbers which may represent a date in "condensed European notation" DDMMYY.at n=22A213182