Properties of the Number 1404

One Thousand Four Hundred Four

Basics

Value: 1403 → 1404 → 1405

Parity: even

Prime: No

Previous Prime: 1399

Next Prime: 1409

Digit Sum: 9

Digital Root: 9

Palindrome: No

Factorization: 2 ² × 3 ³ × 13

Divisors: 1, 2, 3, 4, 6, 9, 12, 13, 18, 26

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: Yes

Tetrahedral: No

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Representations

Binary: 10101111100

Octal: 2574

Duodecimal: 990

Hexadecimal: 57c

Square: 1971216

Square Root: 37.469987990390386

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

Heptagonal numbers (or 7-gonal numbers): n*(5·n-3)/2. A566

4 times triangular numbers: a(n) = 2·n*(n+1). A46092

Numbers having k prime factors (counted with multiplicity), the largest of which is the k-th prime. A106529

a(n) = floor(n²/2). A7590

Generalized heptagonal numbers: m*(5·m - 3)/2, m = 0, +-1, +-2 +-3, ... A85787

Array: row n shows the coefficients of the characteristic polynomial of the n-th principal submatrix of the Fibonacci self-fusion matrix (A202453). A202605

a(n) = n*(n+3). A28552

Number of partitions of n into relatively prime parts such that multiplicities of parts are also relatively prime. A100953

a(n) = n + floor(n²/2). A74148

Triangle S(n,k) by rows: coefficients of 6^(n-1/2)*(x^1/6*d/dx)ⁿ when n is odd, and of 6^n/2*(x^5/6*d/dx)ⁿ when n is even. A223172