16342
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 16
- Digital Root
- 7
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 24516
- Proper Divisor Sum (Aliquot Sum)
- 8174
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 8170
- Möbius Function
- 1
- Radical
- 16342
- 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
- 97
- 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
- yes
- Odd
- no
Appears in sequences
- Number of primes less than 10000n.at n=17A038813
- Numbers k such that prime(k) + prime(k+1) is a square.at n=37A064397
- Iccanobirt numbers (11 of 15): a(n) = R(a(n-1) + R(a(n-2)) + R(a(n-3))), where R is the digit reversal function A004086.at n=18A102121
- Iccanobirt semiprimes (11 of 15): Semiprime numbers in A102121.at n=4A102201
- 3^n+5^n-2n.at n=6A120950
- Numbers k such that prime(k) + prime(k+1) is a perfect power.at n=44A132746
- 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, 0, 1), (0, 1, 1), (1, 1, -1)}.at n=8A150082
- A triangular sequence of polynomial coefficients: p(x,n)=((-1)^(n + 1)*(x - 1)^(n + 1)*Sum[(5*m + 4)^n*x^m, {m, 0, Infinity}] + (-1)^(n + 1)*(x - 1)^(n + 1)*Sum[(5*m + 1)^n*x^m, {m, 0, Infinity}]).at n=12A154816
- Years >= 1801 in which Christmas falls in Sukkot.at n=7A222419
- Number of length 4+2 0..n arrays with every three consecutive terms having the sum of some two elements equal to twice the third.at n=32A248437
- G.f.: Product_{k>=1} (1+x^k)^(2*k-1).at n=15A255835
- The number of partitions of n which represent Chomp positions with Sprague-Grundy value 7.at n=56A284780
- Number of partitions of n into a squarefree number of squarefree parts.at n=48A286330
- Triangle read by rows: T(n,k) is the number of relations from an n-element set to a k-element set that are not one-to-one functions.at n=22A344115
- Least k such that A000668(n) + k is prime, where A000668(n) is the n-th Mersenne prime.at n=26A365160
- Number of subsets of {1..n} that contain n but do not form a finite arithmetic progression.at n=15A389921