12835
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 19
- Digital Root
- 1
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 16416
- Proper Divisor Sum (Aliquot Sum)
- 3581
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 9600
- Möbius Function
- -1
- Radical
- 12835
- 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
- 63
- 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
- no
- Odd
- yes
Appears in sequences
- a(n) = 1*t(n) + 2*t(n-1) + ...+ k*t(n+1-k), where k=floor((n+1)/2) and t is A001950 (upper Wythoff sequence).at n=37A023867
- s(1)t(n) + s(2)t(n-1) + ... + s(k)t(n-k+1), where k = [ n/2 ], s = (natural numbers), t = A001950 (upper Wythoff sequence).at n=36A024864
- a(n) = (d(n)-r(n))/2, where d = A026037 and r is the periodic sequence with fundamental period (1,0,0,1).at n=40A026038
- Numbers whose set of base-16 digits is {2,3}.at n=23A032816
- a(n) = 6*n^2 + 3*n + 1.at n=46A085473
- Index k in A095773 where a string of n identical values occurs.at n=25A096183
- a(n) = Sum_{k <= n/2 } k*binomial(n-2k, 3k).at n=19A137359
- 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, 0, 0), (0, 1, 1), (1, -1, 0), (1, 1, -1), (1, 1, 0)}.at n=7A150842
- a(n) = 144*n^2 - 161*n + 45.at n=9A156711
- Triangle read by rows: T(n,k) (n>=1, 1 <= k <= n) = number of n-element unlabeled rigid interval posets of height k.at n=50A193357
- Number of partitions p of n such that max(p)-min(p) = 9.at n=37A218572
- Numbers k whose decimal expansion can be split into at least two parts whose binary equivalents can be concatenated (in the same order) to form the binary expansion of the original number k.at n=15A237041
- Number of octagons that can be formed with perimeter n.at n=43A288254
- Sequence shifts left eight places under Weigh transform with a(n) = signum(n) for n<8.at n=42A316080
- a(n) = 4*p(n-1)*p(n+1) - p(n)^2, where p(k) = k-th prime.at n=17A327447
- Number of reversed integer partitions of 2n whose skew-alternating sum is 0.at n=24A357640
- Centered triangular numbers which are products of three distinct primes.at n=10A359624
- Truncated hex numbers: a(n) = 24*n^2 + 6*n + 1.at n=23A381424