Live analysis

2,320

2,320 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.).

2,320 (two thousand three hundred twenty) is an even 4-digit number. It is a composite number with 20 divisors, and factors as 2⁴ × 5 × 29. Its proper divisors sum to 3,260, more than the number itself, making it an abundant number. Written other ways, in Roman numerals it is MMCCCXX and in binary, 100100010000.

Abundant Number Arithmetic Number Gapful Number Odious Number Pernicious Number Practical Number Recamán's Sequence Refactorable Number Semiperfect Number

Interestingness

★ ★ ★ ★ ☆

6 notable facts · grade B

2,308 2,309 2,310 2,311 2,312 2,313 2,314 2,315 2,316 2,317 2,318 2,319 2,320 2,321 2,322 2,323 2,324 2,325 2,326 2,327 2,328 2,329 2,330 2,331 2,332

less more

Properties

Parity: Even
Digit count: 4
Digit sum: 7
Digit product: 0
Digital root: 7
Palindrome: No
Bit width: 12 bits
Reversed: 232
Recamán's sequence: a(687) = 2,320
Square (n²): 5,382,400
Cube (n³): 12,487,168,000
Divisor count: 20
σ(n) — sum of divisors: 5,580
φ(n) — Euler's totient: 896
Sum of prime factors: 42

Primality

Prime factorization: 2 ⁴ × 5 × 29

Nearest primes: 2,311 (−9) · 2,333 (+13)

Divisors & multiples

All divisors (20)

1 · 2 · 4 · 5 · 8 · 10 · 16 · 20 · 29 · 40 · 58 · 80 · 116 · 145 · 232 · 290 · 464 · 580 · 1160 (half) · 2320

Aliquot sum (sum of proper divisors): 3,260

Factor pairs (a × b = 2,320)

1 × 2320

2 × 1160

4 × 580

5 × 464

8 × 290

10 × 232

16 × 145

20 × 116

29 × 80

40 × 58

First multiples

2,320 · 4,640 (double) · 6,960 · 9,280 · 11,600 · 13,920 · 16,240 · 18,560 · 20,880 · 23,200

Sums & aliquot sequence

As a sum of two squares: 4² + 48² = 32² + 36²

As consecutive integers: 462 + 463 + 464 + 465 + 466 66 + 67 + … + 94 57 + 58 + … + 88

Aliquot sequence: 2,320 → 3,260 → 3,628 → 2,728 → 3,032 → 2,668 → 2,372 → 1,786 → 1,094 → 550 → 566 → 286 → 218 → 112 → 136 → 134 → 70 — unresolved within range

Continued fraction of √n

√2,320 = [48; (6, 96)]

Period length 2 — the block in parentheses repeats forever.

Representations

In words: two thousand three hundred twenty
Ordinal: 2320th
Roman numeral: MMCCCXX
Binary: 100100010000
Octal: 4420
Hexadecimal: 0x910
Base64: CRA=
One's complement: 63,215 (16-bit)
Scientific notation: 2.32 × 10³
As a duration: 2,320 s = 38 minutes, 40 seconds

In other bases

ternary (3) 10011221

quaternary (4) 210100

quinary (5) 33240

senary (6) 14424

septenary (7) 6523

nonary (9) 3157

undecimal (11) 181a

duodecimal (12) 1414

tridecimal (13) 1096

tetradecimal (14) bba

pentadecimal (15) a4a

Palindromic in base 15

As an angle

2,320° = 6 × 360° + 160°

160° ≈ 2.793 rad

Compass bearing: SSE (south-southeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋
Egyptian hieroglyphic: 𓆼𓆼𓍢𓍢𓍢𓎆𓎆
Greek (Milesian): ͵βτκʹ
Mayan (base 20): 𝋥·𝋰·𝋠
Chinese: 二千三百二十
Chinese (financial): 貳仟參佰貳拾

In other modern scripts

Eastern Arabic ٢٣٢٠ Devanagari २३२० Bengali ২৩২০ Tamil ௨௩௨௦ Thai ๒๓๒๐ Tibetan ༢༣༢༠ Khmer ២៣២០ Lao ໒໓໒໐ Burmese ၂၃၂၀

Digit at this position in famous constants

π — Pi (π): Digit 2,320 = 2
e — Euler's number (e): Digit 2,320 = 5
φ — Golden ratio (φ): Digit 2,320 = 0
√2 — Pythagoras's (√2): Digit 2,320 = 8
ln 2 — Natural log of 2: Digit 2,320 = 0
γ — Euler-Mascheroni (γ): Digit 2,320 = 0

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 2320, here are decompositions:

11 + 2309 = 2320
23 + 2297 = 2320
47 + 2273 = 2320
53 + 2267 = 2320
83 + 2237 = 2320
107 + 2213 = 2320
113 + 2207 = 2320
167 + 2153 = 2320

Showing the first eight; more decompositions exist.

Unicode codepoint

ऐ

Devanagari Letter Ai

U+0910

Other letter (Lo)

UTF-8 encoding: E0 A4 90 (3 bytes).

Lookup U+0910 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#000910

RGB(0, 9, 16)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.9.16.

Address: 0.0.9.16
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.9.16

Unspecified address (0.0.0.0/8) — "this network" placeholder.

Musical pitch

Heard as a frequency, 2,320 Hz is closest to:

Concert pitch (A4 = 440 Hz): D7 (2349.3 Hz, -22¢)
Scientific pitch (C4 = 256 Hz): D7 (2298.8 Hz, +16¢)
Baroque pitch (A4 = 415 Hz): D♯7 (2347.6 Hz, -20¢)

Position in π

The digit sequence 2320 first appears in π at position 49,521 of the decimal expansion (the 49,521ordinal-suffix:st digit after the integer 3).

Search range: the first 1,000,000 fractional digits of π. Any 6-digit-or-shorter string is virtually guaranteed to appear in there — the more interesting signal is the position.

Look up 2320 on Pi Search ↗