Live analysis

2,231

2,231 is a composite number, odd.

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.).

2,231 (two thousand two hundred thirty-one) is an odd 4-digit number. It is a composite number with 4 divisors, and factors as 23 × 97. Written other ways, in Roman numerals it is MMCCXXXI and in binary, 100010110111.

Arithmetic Number Cube-Free Deficient Number Odious Number Pernicious Number Recamán's Sequence Semiprime Squarefree

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

2,219 2,220 2,221 2,222 2,223 2,224 2,225 2,226 2,227 2,228 2,229 2,230 2,231 2,232 2,233 2,234 2,235 2,236 2,237 2,238 2,239 2,240 2,241 2,242 2,243

less more

Properties

Parity: Odd
Digit count: 4
Digit sum: 8
Digit product: 12
Digital root: 8
Palindrome: No
Bit width: 12 bits
Reversed: 1,322
Recamán's sequence: a(3,289) = 2,231
Square (n²): 4,977,361
Cube (n³): 11,104,492,391
Divisor count: 4
σ(n) — sum of divisors: 2,352
φ(n) — Euler's totient: 2,112
Sum of prime factors: 120

Primality

Prime factorization: 23 × 97

Nearest primes: 2,221 (−10) · 2,237 (+6)

Divisors & multiples

All divisors (4)

1 · 23 · 97 · 2231

Aliquot sum (sum of proper divisors): 121

Factor pairs (a × b = 2,231)

1 × 2231

23 × 97

First multiples

2,231 · 4,462 (double) · 6,693 · 8,924 · 11,155 · 13,386 · 15,617 · 17,848 · 20,079 · 22,310

Sums & aliquot sequence

As consecutive integers: 1,115 + 1,116 86 + 87 + … + 108 26 + 27 + … + 71

Aliquot sequence: 2,231 → 121 → 12 → 16 → 15 → 9 → 4 → 3 → 1 → 0 — terminates at zero

Continued fraction of √n

√2,231 = [47; (4, 3, 1, 1, 8, 47, 8, 1, 1, 3, 4, 94)]

Period length 12 — the block in parentheses repeats forever.

Representations

In words: two thousand two hundred thirty-one
Ordinal: 2231st
Roman numeral: MMCCXXXI
Binary: 100010110111
Octal: 4267
Hexadecimal: 0x8B7
Base64: CLc=
One's complement: 63,304 (16-bit)
Scientific notation: 2.231 × 10³
As a duration: 2,231 s = 37 minutes, 11 seconds

In other bases

ternary (3) 10001122

quaternary (4) 202313

quinary (5) 32411

senary (6) 14155

septenary (7) 6335

nonary (9) 3048

undecimal (11) 1749

duodecimal (12) 135b

tridecimal (13) 1028

tetradecimal (14) b55

pentadecimal (15) 9db

As an angle

2,231° = 6 × 360° + 71°

71° ≈ 1.239 rad

Compass bearing: ENE (east-northeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹
Egyptian hieroglyphic: 𓆼𓆼𓍢𓍢𓎆𓎆𓎆𓏺
Greek (Milesian): ͵βσλαʹ
Mayan (base 20): 𝋥·𝋫·𝋫
Chinese: 二千二百三十一
Chinese (financial): 貳仟貳佰參拾壹

In other modern scripts

Eastern Arabic ٢٢٣١ Devanagari २२३१ Bengali ২২৩১ Tamil ௨௨௩௧ Thai ๒๒๓๑ Tibetan ༢༢༣༡ Khmer ២២៣១ Lao ໒໒໓໑ Burmese ၂၂၃၁

Digit at this position in famous constants

π — Pi (π): Digit 2,231 = 9
e — Euler's number (e): Digit 2,231 = 6
φ — Golden ratio (φ): Digit 2,231 = 0
√2 — Pythagoras's (√2): Digit 2,231 = 6
ln 2 — Natural log of 2: Digit 2,231 = 9
γ — Euler-Mascheroni (γ): Digit 2,231 = 9

Also seen as

Unicode codepoint

ࢷ

Arabic Letter Peh With Small Meem Above

U+08B7

Other letter (Lo)

UTF-8 encoding: E0 A2 B7 (3 bytes).

Lookup U+08B7 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#0008B7

RGB(0, 8, 183)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.8.183.

Address: 0.0.8.183
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.8.183

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

Musical pitch

Heard as a frequency, 2,231 Hz is closest to:

Concert pitch (A4 = 440 Hz): C♯7 (2217.5 Hz, +11¢)
Scientific pitch (C4 = 256 Hz): C♯7 (2169.8 Hz, +48¢ — about midway to D7)
Baroque pitch (A4 = 415 Hz): D7 (2215.8 Hz, +12¢)

Position in π

The digit sequence 2231 first appears in π at position 135 of the decimal expansion (the 135ordinal-suffix:th 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 2231 on Pi Search ↗