Properties of the Number 14415

Fourteen Thousand Four Hundred Fifteen

Basics

Value: 14414 → 14415 → 14416

Parity: odd

Prime: No

Previous Prime: 14411

Next Prime: 14419

Digit Sum: 15

Digital Root: 6

Palindrome: No

Factorization: 3 × 5 × 31 ²

Divisors: 1, 3, 5, 15, 31, 93, 155, 465, 961, 2883

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 11100001001111

Octal: 34117

Duodecimal: 8413

Hexadecimal: 384f

Square: 207792225

Square Root: 120.06248373242992

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

a(n) = n*(n+1)²/2. A6002

a(n) = 15·n². A64761

General q-Narayana triangle sequence: T(n, k) = ∏_j=0..1 (q-binomial(n+j, j+k, 2)/q-binomial(n-k+j, j, 2)). A156916

Number of subsets of {1..n} not containing all of their own first differences. A364672

a(n) = n*(2·n+1)². A84367

a(n) = (p³ - p²)/2, where p = prime(n). A138416

a(n) = n² * floor(n/2). A265645

Group the natural numbers such that the n-th group sum is divisible by the n-th triangular number: (1), (2, 3, 4), (5, 6, 7), (8, 9, 10, 11, 12), (13, 14, 15, 16, 17), (18, 19, 20, 21, 22, 23, 24), ... Sequence contains the group sum. A86500

General q-Narayana triangle sequence: T(n, k) = ∏_j=0..2 ( q_binomial(n+j, j+k, 2)/q_binomial(n+j-k, j, 2) ). A156939

a(n) = ∏_i=0..2 (2^floor((n+i)/3)-1). A274626