Live analysis

4,080

4,080 is a composite number, even.

This number doesn't have a permanent NumberWiki page yet — what you see below is computed live. Pages get added to the permanent index when they're notable (years, primes, curated, etc.).

Abundant Number Harshad / Niven

Properties

Parity: Even
Digit count: 4
Digit sum: 12
Digital root: 3
Palindrome: No
Divisor count: 40
σ(n) — sum of divisors: 13,392

Primality

Prime factorization: 2 ⁴ × 3 × 5 × 17

Divisors & multiples

All divisors (40)

1 · 2 · 3 · 4 · 5 · 6 · 8 · 10 · 12 · 15 · 16 · 17 · 20 · 24 · 30 · 34 · 40 · 48 · 51 · 60 · 68 · 80 · 85 · 102 · 120 · 136 · 170 · 204 · 240 · 255 · 272 · 340 · 408 · 510 · 680 · 816 · 1020 · 1360 · 2040 · 4080

Aliquot sum (sum of proper divisors): 9,312

Factor pairs (a × b = 4,080)

1 × 4080

2 × 2040

3 × 1360

4 × 1020

5 × 816

6 × 680

8 × 510

10 × 408

12 × 340

15 × 272

16 × 255

17 × 240

20 × 204

24 × 170

30 × 136

34 × 120

40 × 102

48 × 85

51 × 80

60 × 68

First multiples

4,080 · 8,160 · 12,240 · 16,320 · 20,400 · 24,480 · 28,560 · 32,640 · 36,720 · 40,800

Representations

In words: four thousand eighty
Ordinal: 4080th
Binary: 111111110000
Octal: 7760
Hexadecimal: FF0

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 4080, here are decompositions:

7 + 4073 = 4080
23 + 4057 = 4080
29 + 4051 = 4080
31 + 4049 = 4080
53 + 4027 = 4080
59 + 4021 = 4080
61 + 4019 = 4080
67 + 4013 = 4080

Showing the first eight; more decompositions exist.

Hex color

#000FF0

RGB(0, 15, 240)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.15.240.

Possible US bank routing number

This passes the ABA routing number checksum and matches the Federal Reserve numbering scheme.

Routing number

000004080

Federal Reserve

United States Government

Banks operate many routing numbers per state and division; an unmatched checksum-valid number can still be a real RTN at a smaller institution.

Look up 000004080 on FedACH ↗ Routing Number Lookup (Wise) ↗