13174
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
- 8
- Divisor Sum
- 22608
- Proper Divisor Sum (Aliquot Sum)
- 9434
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 5640
- Möbius Function
- -1
- Radical
- 13174
- 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
- no
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 169
- 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
- Total number of parts in all partitions of n. Also, sum of largest parts of all partitions of n.at n=24A006128
- Interprimes which are of the form s*prime, s=14.at n=20A075289
- a(n) = sum of the first n upper twin primes.at n=35A086168
- 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), (0, 1, -1), (0, 1, 0), (1, -1, 1)}.at n=9A148432
- Number of partitions of n such that the number of parts and the greatest part are coprime.at n=36A200750
- Sequence of coefficients of x in marked mesh pattern generating function Q_{n,132}^(-,0,2,0)(x).at n=7A212348
- Number of triples (w,x,y) with all terms in {0,...,n} and |w-x| + |x-y| <= w+x+y.at n=23A213481
- Numbers k such that 3^k + 14 is prime.at n=23A219035
- Number of partitions of n such that the number of parts is not a part and the number of distinct parts is a part.at n=40A241378
- Numbers n such that the decimal expansions of both n and n^2 have 1 as smallest digit and 7 as largest digit.at n=36A257210
- Number of partitions of n into parts with an odd number of distinct prime divisors.at n=55A285799
- Number of irreducible conic curves containing 6 points of a cyclic order n-torsion subgroup of an elliptic curve.at n=21A379920
- Consecutive internal states of the linear congruential pseudo-random number generator (7141*s + 54773) mod 259200 when started at 1.at n=21A385463