Properties of the Number 40967

Forty Thousand Nine Hundred Sixty-Seven

Basics

Value: 40966 → 40967 → 40968

Parity: odd

Prime: No

Previous Prime: 40961

Next Prime: 40973

Digit Sum: 26

Digital Root: 8

Palindrome: No

Factorization: 71 × 577

Divisors: 1, 71, 577, 40967

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1010000000000111

Octal: 120007

Duodecimal: 1B85B

Hexadecimal: a007

Square: 1678295089

Square Root: 202.40306321792661

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

Number of trees with n nodes, 2 of which are labeled. A243

Fibonacci sequence beginning 3, 14. A22125

Concatenation of n³ and 7. A61679

Numbers k such that sum of divisors of k is a square and a triangular number (A000217). That is, numbers k such that A000203(k) is in A001110. A232847

Variation on Ulam numbers: a(1) = 1; a(2) = 2; for n>2, a(n) is smallest (n odd) or largest (n even) new number that is the sum of two distinct earlier terms. A81025

Numbers k such that σ(k) - φ(k) is a 4th power. A115918

Number of (n+1)X(2+1) 0..1 arrays x(i,j) with row sums sum{j·x(i,j), j=1..2+1} nondecreasing, and column sums sum{i²*x(i,j), i=1..n+1} nondecreasing. A233361

Number of length-(n+1) 0..6 arrays with new values introduced in sequential order, and with new repeated values introduced in sequential order, both starting with zero. A268325

Number of nX3 0..1 arrays with every element unequal to 2, 3, 5 or 7 king-move adjacent elements, with upper left element zero. A304258

Numbers k such that 193·2^k-1 is prime. A50848