Properties of the Number 67947

Sixty-Seven Thousand Nine Hundred Forty-Seven

Basics

Value: 67946 → 67947 → 67948

Parity: odd

Prime: No

Previous Prime: 67943

Next Prime: 67957

Digit Sum: 33

Digital Root: 6

Palindrome: No

Factorization: 3 × 11 × 29 × 71

Divisors: 1, 3, 11, 29, 33, 71, 87, 213, 319, 781

Polygonal

Triangular: No

Square: No

Pentagonal: Yes

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

7925 Try Today's Challenge

Representations

Binary: 10000100101101011

Octal: 204553

Duodecimal: 333A3

Hexadecimal: 1096b

Square: 4616794809

Square Root: 260.6664535378498

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

T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with the maximum plus the upper median minus the minimum of every 2X2 subblock equal. A237809

Third column of triangle A060058. A60060

a(n) = ∑_{k=0..floor(n/3)} binomial(n,k) * binomial(n-1,n-3·k). A389328

Numbers which are both lucky and pentagonal. A128511

Where records occur in A239866. A239867

Numbers n such that the decimal expansion of n² contains n+1. A282384

a(n) = (A001359(n+1)² - 1)/24, where A001359 = lesser of twin primes; or: pentagonal numbers (A000326) whose indices are twin ranks (A002822). A308344

Smallest k not a palindrome and not divisible by 10 such that k and R(k) (A004086) both are divisible by the n-th prime. A75605

Number of (n+1) X (1+1) 0..2 arrays with the maximum plus the upper median minus the minimum of every 2 X 2 subblock equal. A237802

Number of (n+1) X (6+1) 0..2 arrays with the maximum plus the upper median minus the minimum of every 2 X 2 subblock equal. A237807