10222
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 7
- Digital Root
- 7
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 16200
- Proper Divisor Sum (Aliquot Sum)
- 5978
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 4824
- Möbius Function
- -1
- Radical
- 10222
- Omega Function (Ω)
- 3
- 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
- no
- Narcissistic Number
- no
- Collatz Steps
- 60
- 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
- Number of positive integers <= 2^n of form x^2 + 10 y^2.at n=16A000024
- Primes in ternary.at n=27A001363
- Number of nonequivalent dissections of a polygon into n heptagons by nonintersecting diagonals up to rotation and reflection.at n=6A005419
- Number of bracelets (turnover necklaces) of n beads of 2 colors, 5 of them black.at n=37A032279
- Total number of composite numbers with n digits and n prime factors (counted with multiplicity).at n=4A036335
- Numbers having three 2's in base 10.at n=36A043499
- a(n) = a(1) + a(2) + ... + a(n-1) - a(m) for n >= 4, where m = 2*n - 2 - 2^(p+1) and p is the unique integer such that 2^p < n - 1 <= 2^(p+1), starting with a(1) = 1, a(2) = 2 and a(3) = 4.at n=16A049915
- Numbers k such that 267*2^k + 1 is prime.at n=31A053350
- Coefficients of monic irreducible polynomials over GF(4) listed in lexicographic order.at n=34A058948
- Coefficients of monic primitive irreducible polynomials over GF(4) listed in lexicographic order.at n=20A058952
- Squares of 1 and primes, written backwards.at n=35A060998
- Primes of form 4k+3 written in base 3.at n=14A072805
- Polynomial (1/3)*n^3 + (9/2)*n^2 + (85/6)*n - 2.at n=27A073775
- a(n) = smallest k such that the Reverse and Add! trajectory of A063048(n) joins the trajectory of k.at n=29A089493
- Lexicographically least sequence such that a(n) is a positive multiple of the n-th composite number and the arithmetic mean of the first n terms is an integer.at n=24A095211
- a(n) = 107 written in base n.at n=2A095604
- a(n) = 107 written in base 11 - n.at n=8A095605
- Number of n-digit numbers having exactly n prime factors (counted with multiplicity).at n=4A124033
- a(n) = a(n-1) - 4*a(n-2), a(0)=1, a(1)=2.at n=14A133631
- 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, 0, 0), (0, -1, 1), (0, 1, 0), (1, -1, -1)}.at n=11A148031