8770
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 22
- Digital Root
- 4
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 15804
- Proper Divisor Sum (Aliquot Sum)
- 7034
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 3504
- Möbius Function
- -1
- Radical
- 8770
- 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
- 140
- 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
- Number of strict 3rd-order maximal independent sets in path graph.at n=42A007384
- Numbers k such that the continued fraction for sqrt(k) has period 37.at n=18A020376
- Number of partitions of n into parts not of form 4k+2, 20k, 20k+3 or 20k-3. Also number of partitions in which no odd part is repeated, with 1 part of size less than or equal to 2 and where differences between parts at distance 4 are greater than 1 when the smallest part is odd and greater than 2 when the smallest part is even.at n=52A036025
- Numbers whose base-5 representation contains exactly three 0's and two 4's.at n=21A045216
- Numbers k such that 2^k - 3 is prime.at n=33A050414
- Number of nonisomorphic cyclic subgroups of the group A_n X A_n (where A_n is the alternating group of degree n).at n=45A062365
- Number of composites <= 10^n.at n=4A065894
- Expansion of Product_{k>=1} (1+x^k)^A001055(k).at n=36A066806
- Interprimes which are of the form s*prime, s=10.at n=21A075285
- Number of partitions of n into parts relatively prime to 63 and not == 2 (mod 4).at n=50A119952
- Number of binary digits in (2^n)!.at n=10A152428
- Number of binary words of length n such that there is at least one 0 and every run of consecutive 0's is of length >= 4.at n=23A209231
- Minimum value unattainable as the sum of 2 attained values of a*b+a*c+b*c with a,b,c 0..n integers.at n=40A225272
- Numbers k such that the period of Fibonacci numbers mod k is 3*(k+10).at n=39A229466
- Number of (n+1)X(1+1) 0..3 arrays with the maximum plus the minimum minus the lower median of every 2X2 subblock equal.at n=2A237482
- Number of (n+1)X(3+1) 0..3 arrays with the maximum plus the minimum minus the lower median of every 2X2 subblock equal.at n=0A237484
- T(n,k)=Number of (n+1)X(k+1) 0..3 arrays with the maximum plus the minimum minus the lower median of every 2X2 subblock equal.at n=3A237488
- T(n,k)=Number of (n+1)X(k+1) 0..3 arrays with the maximum plus the minimum minus the lower median of every 2X2 subblock equal.at n=5A237488
- Number of partitions of n such that the number of parts is a part and the number of distinct parts is not a part.at n=46A241379
- Sums of Pythagorean sextuples in increasing order: The sums of sets of six natural numbers which correspond to the lengths of the edges of a tetrahedron whose four faces are all different Pythagorean triangles.at n=9A248548