10707
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 15
- Digital Root
- 6
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 14784
- Proper Divisor Sum (Aliquot Sum)
- 4077
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 6888
- Möbius Function
- -1
- Radical
- 10707
- 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
- 47
- 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
- Expansion of 1/(1-x^6-x^7-x^8-x^9-x^10-x^11-x^12).at n=50A017852
- Expansion of e.g.f. cosh(exp(x)-1).at n=9A024430
- Numbers k such that 51*2^k+1 is prime.at n=33A032375
- Number of partitions of n into parts not of the form 21k, 21k+2 or 21k-2. Also number of partitions with 1 part of size 1 and differences between parts at distance 9 are greater than 1.at n=39A035980
- Odd composite numbers divisible by the sum of their prime factors (counted with multiplicity).at n=33A046347
- Greatest number, not divisible by 4, having exactly n partitions into three distinct positive squares.at n=3A096021
- Number of 2-connected planar graphs on n labeled nodes.at n=3A096331
- Number of partitions of an n-set with odd number of even blocks.at n=8A096648
- a(n)=a(n-1)+sum of digits(a(n-1))*sum of digits(a(n-2)).at n=39A108720
- Next term is the sum of previous term and the square of the sum of its decimal digits, with a(0) = 10.at n=35A112787
- Total number of parts of multiplicity 3 in all partitions of n.at n=37A117524
- Central terms of triangle A120894 (cascadence of 1+x+x^2).at n=11A120896
- Composite numbers that are products of distinct primes and divisible by the sum of those primes.at n=34A131647
- Numbers k = p*q*r (p, q, r prime) congruent to 0 mod p+q+r.at n=23A160394
- The odd composites c such that c=q*g*j*y/2 and q+g=j*y where q,g,j,y are distinct primes.at n=24A167629
- Indices of pentagonal pyramidal numbers which are the sum of two other such numbers: k such that A002411(k) = A002411(i)+A002411(j) for some i,j>0.at n=24A172437
- Numbers which, when divided by the sum of their prime factors, give a prime number.at n=38A199013
- For any number n take the polynomial formed by the product of the terms (x-pi), where pi's are the prime factors of n. Then calculate the area between the minimum and the maximum value of the prime factors. This sequence lists the numbers for which the area is equal to zero.at n=28A203614
- Composite squarefree numbers k such that the arithmetic mean of the distinct prime factors of k is a prime p, and p divides k.at n=21A229094
- Products of three distinct primes that form an arithmetic progression.at n=16A262723