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Properties of the Number 6946

Six Thousand Nine Hundred Forty-Six

Basics

Value: 6945 → 6946 → 6947

Parity: even

Prime: No

Previous Prime: 6917

Next Prime: 6947

Digit Sum: 25

Digital Root: 7

Palindrome: No

Factorization: 2 × 23 × 151

Divisors: 1, 2, 23, 46, 151, 302, 3473, 6946

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1101100100010

Octal: 15442

Duodecimal: 402A

Hexadecimal: 1b22

Square: 48246916

Square Root: 83.34266614405853

Classification

Fibonacci: No

Bell Number: No

Factorial Number: No

Regular Number: No

Perfect Number: No

Special

Kaprekar Constant: No

Munchausen Constant: No

Armstrong Number: No

Kaprekar Number: No

Catalan Number: No

Vampire Number: No

Taxicab Number: No

Super Prime: No

Friedman Number: No

Fermat Number: No

Cullen Number: No

OEIS Sequences

Numbers that are the sum of 7 positive 7th powers. A3374
G.f. A(x,y) satisfies: A( x - y·A(x,y)2, y) = x + (1-y)*A(x,y)2, where the coefficients T(n,k) of xn*yk form a triangle read by rows n>=1, for k=0..n-1. A277295
Number of integer partitions of n with the same length as alternating sum. A357189
Number of integer partitions of 2n - 1 with the same length as alternating sum. A357488
a(n) = s(1)*t(n) + s(2)*t(n-1) + ... + s(k)*t(n+1-k), where k = floor((n+1)/2), s = (natural numbers >= 3), t = A023531. A24313
T(n,k)=Number of arrangements of n+1 nonzero numbers x(i) in -k..k with the sum of div(x(i),x(i+1)), where div(a,b)=a/b produces the integer quotient implying a nonnegative remainder, equal to zero. A190071
a(n) = a(n-1) + a(m) for n >= 4, where m = 2·n - 2 - 2p+1 and p is the unique integer such that 2p < n - 1 <= 2p+1, starting with a(1) = a(2) = 1 and a(3) = 2. A50031
Number of integer partitions of n with the same length as reverse-alternating sum. A357487
3-almost primes with semiprime digits (digits 4, 6, 9 only). A111494
Maximal number of regions into which 5-space can be divided by n hyperspheres. A59174