Live analysis

3,984

3,984 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: 24
Digital root: 6
Palindrome: No
Divisor count: 20
σ(n) — sum of divisors: 10,416

Primality

Prime factorization: 2 ⁴ × 3 × 83

Divisors & multiples

All divisors (20)

1 · 2 · 3 · 4 · 6 · 8 · 12 · 16 · 24 · 48 · 83 · 166 · 249 · 332 · 498 · 664 · 996 · 1328 · 1992 · 3984

Aliquot sum (sum of proper divisors): 6,432

Factor pairs (a × b = 3,984)

1 × 3984

2 × 1992

3 × 1328

4 × 996

6 × 664

8 × 498

12 × 332

16 × 249

24 × 166

48 × 83

First multiples

3,984 · 7,968 · 11,952 · 15,936 · 19,920 · 23,904 · 27,888 · 31,872 · 35,856 · 39,840

Representations

In words: three thousand nine hundred eighty-four
Ordinal: 3984th
Roman numeral: MMMCMLXXXIV
Binary: 111110010000
Octal: 7620
Hexadecimal: F90

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 3984, here are decompositions:

17 + 3967 = 3984
37 + 3947 = 3984
41 + 3943 = 3984
53 + 3931 = 3984
61 + 3923 = 3984
67 + 3917 = 3984
73 + 3911 = 3984
103 + 3881 = 3984

Showing the first eight; more decompositions exist.

Unicode codepoint

ྐ

Tibetan Subjoined Letter Ka

U+0F90

Non-spacing mark (Mn)

UTF-8 encoding: E0 BE 90 (3 bytes).

Lookup U+0F90 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#000F90

RGB(0, 15, 144)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.15.144.

Possible US bank routing number

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

Routing number

000003984

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 000003984 on FedACH ↗ Routing Number Lookup (Wise) ↗