12367
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
- 3
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 12600
- Proper Divisor Sum (Aliquot Sum)
- 233
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 12136
- Möbius Function
- 1
- Radical
- 12367
- 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
- 156
- 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
- no
- Odd
- yes
Appears in sequences
- Least k such that H(k) > n, where H(k) is the harmonic number Sum_{i=1..k} 1/i.at n=10A002387
- Least k such that H(k) >= n, where H(k) is the harmonic number Sum_{i=1..k} 1/i.at n=10A004080
- Numbers k such that if 2 <= j < k then the fractional part of the k-th partial sum of the harmonic series is < the fractional part of the j-th partial sum of the harmonic series.at n=6A004796
- Expansion of log(1+tan(x)/cos(x)).at n=7A009380
- arctanh(sec(x)*tan(x))=x+7/3!*x^3+185/5!*x^5+12367/7!*x^7...at n=3A012798
- Expansion of e.g.f. log(cos(x) + tan(x)).at n=7A013011
- Number of books required for n book-lengths of overhang in the harmonic book stacking problem. Sum_{i=1..a(n)} 1/i >= 2n and Sum_{i=1..a(n)-1} 1/i < 2n.at n=4A014537
- Numbers k such that sigma(k) = sigma(k+4).at n=16A015863
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 27 ones.at n=4A031795
- Numbers (with nonzero digits only) where A046810 increases.at n=11A046811
- Smallest number m with nonzero digits such that A046810(m)=n.at n=31A046813
- Number of anagrams of a(n) that are prime increases.at n=15A046888
- a(n) is the least integer that has exactly n anagrams that are primes.at n=31A046890
- Numbers n such that the best rational approximation to H(n) with denominator <=n is an integer, where H(n) denotes the n-th harmonic number (A001008/A002805).at n=18A079353
- Least k such that H(k) > 10^n, where H(k) is the harmonic number Sum_{i=1..k} 1/i.at n=1A082912
- Least k such that H(k) >= 10^n, where H(k) is the harmonic number Sum_{i=0..k} 1/i.at n=1A096618
- a(n) is the concatenation in increasing order of all single-digit divisors of n.at n=41A129476
- 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, 1, -1), (1, 0, -1), (1, 0, 0), (1, 0, 1)}.at n=8A150061
- Potential magic constants of 7 X 7 magic squares composed of consecutive primes.at n=31A188536
- G.f.: exp( Sum_{n>=1} (x^n/n) / Product_{d|n} (1 - d*x^d)^n ).at n=12A205490