16140
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
- 24
- Divisor Sum
- 45360
- Proper Divisor Sum (Aliquot Sum)
- 29220
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 4288
- Möbius Function
- 0
- Radical
- 8070
- Omega Function (Ω)
- 5
- 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
- yes
- Narcissistic Number
- no
- Collatz Steps
- 71
- 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
- Convolution of odd numbers and primes.at n=24A023662
- Numbers whose base-4 representation contains exactly three 0's and four 3's.at n=17A045080
- Number of partitions of n such that the least part occurs exactly five times.at n=49A097093
- Average of twin-prime pairs for pairs that are expressible as the sum of two triangular numbers.at n=29A117313
- 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, 0), (-1, 0, 1), (-1, 1, 1), (0, 0, 1), (1, 0, -1)}.at n=10A148317
- Averages of twin prime pairs which can be represented as a sum of three consecutive of such pair averages.at n=20A160917
- Number of nX3 1..5 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 decreasing order.at n=3A166844
- a(n) = 2*n*(9*n-1).at n=29A178574
- a(n+1) = a(n-3) + a(n-2) - a(n-1) + a(n) starting with 1, 2, 3, 4.at n=36A180046
- 1/6 the number of (n+2)X3 0..2 arrays with each 3X3 subblock containing two of one value, three of another, and four of the last.at n=1A184404
- 1/6 the number of (n+2)X4 0..2 arrays with each 3X3 subblock containing two of one value, three of another, and four of the last.at n=0A184405
- T(n,k)=1/6 the number of (n+2)X(k+2) 0..2 arrays with each 3X3 subblock containing two of one value, three of another, and four of the last.at n=1A184407
- T(n,k)=1/6 the number of (n+2)X(k+2) 0..2 arrays with each 3X3 subblock containing two of one value, three of another, and four of the last.at n=2A184407
- Number of (w,x,y,z) with all terms in {0,...,n} and distinct consecutive gap sizes.at n=11A212900
- Number of (n+1)X(7+1) 0..1 arrays with every 2X2 subblock antidiagonal maximum minus diagonal minimum nondecreasing horizontally and diagonal maximum minus antidiagonal minimum nondecreasing vertically.at n=12A253396
- Expansion of Product_{k>=1} (1 + (k+1)*x^k).at n=18A267008
- Numbers n such that 7^n + 6^(n + 1) is prime.at n=13A269227
- Decimal representation of the x-axis, from the left edge to the origin, of the n-th stage of growth of the two-dimensional cellular automaton defined by "Rule 497", based on the 5-celled von Neumann neighborhood.at n=25A282676
- Decimal representation of the x-axis, from the left edge to the origin, of the n-th stage of growth of the two-dimensional cellular automaton defined by "Rule 499", based on the 5-celled von Neumann neighborhood.at n=25A282680
- Expansion of Product_{k>=1} 1/(1 - x^(k*(k+1)/2))^A072964(k).at n=35A321507