Live analysis

3,231

3,231 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.).

3,231 (three thousand two hundred thirty-one) is an odd 4-digit number. It is a composite number with 6 divisors, and factors as 3² × 359. Written other ways, in Roman numerals it is MMMCCXXXI and in binary, 110010011111.

Arithmetic Number Cube-Free Deficient Number Evil Number Happy Number Harshad / Niven Moran Number Recamán's Sequence

Interestingness

★ ★ ★ ★ ☆

6 notable facts · grade B

3,219 3,220 3,221 3,222 3,223 3,224 3,225 3,226 3,227 3,228 3,229 3,230 3,231 3,232 3,233 3,234 3,235 3,236 3,237 3,238 3,239 3,240 3,241 3,242 3,243

less more

Properties

Parity: Odd
Digit count: 4
Digit sum: 9
Digit product: 18
Digital root: 9
Palindrome: No
Bit width: 12 bits
Reversed: 1,323
Recamán's sequence: a(6,886) = 3,231
Square (n²): 10,439,361
Cube (n³): 33,729,575,391
Divisor count: 6
σ(n) — sum of divisors: 4,680
φ(n) — Euler's totient: 2,148
Sum of prime factors: 365

Primality

Prime factorization: 3 ² × 359

Nearest primes: 3,229 (−2) · 3,251 (+20)

Divisors & multiples

All divisors (6)

1 · 3 · 9 · 359 · 1077 · 3231

Aliquot sum (sum of proper divisors): 1,449

Factor pairs (a × b = 3,231)

1 × 3231

3 × 1077

9 × 359

First multiples

3,231 · 6,462 (double) · 9,693 · 12,924 · 16,155 · 19,386 · 22,617 · 25,848 · 29,079 · 32,310

Sums & aliquot sequence

As consecutive integers: 1,615 + 1,616 1,076 + 1,077 + 1,078 536 + 537 + 538 + 539 + 540 + 541 355 + 356 + … + 363

Aliquot sequence: 3,231 → 1,449 → 1,047 → 353 → 1 → 0 — terminates at zero

Continued fraction of √n

√3,231 = [56; (1, 5, 3, 12, 3, 5, 1, 112)]

Period length 8 — the block in parentheses repeats forever.

Representations

In words: three thousand two hundred thirty-one
Ordinal: 3231st
Roman numeral: MMMCCXXXI
Binary: 110010011111
Octal: 6237
Hexadecimal: 0xC9F
Base64: DJ8=
One's complement: 62,304 (16-bit)
Scientific notation: 3.231 × 10³
As a duration: 3,231 s = 53 minutes, 51 seconds

In other bases

ternary (3) 11102200

quaternary (4) 302133

quinary (5) 100411

senary (6) 22543

septenary (7) 12264

nonary (9) 4380

undecimal (11) 2478

duodecimal (12) 1a53

tridecimal (13) 1617

tetradecimal (14) 126b

pentadecimal (15) e56

As an angle

3,231° = 8 × 360° + 351°

351° ≈ 6.126 rad

Compass bearing: N (north)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹
Egyptian hieroglyphic: 𓆼𓆼𓆼𓍢𓍢𓎆𓎆𓎆𓏺
Greek (Milesian): ͵γσλαʹ
Mayan (base 20): 𝋨·𝋡·𝋫
Chinese: 三千二百三十一
Chinese (financial): 參仟貳佰參拾壹

In other modern scripts

Eastern Arabic ٣٢٣١ Devanagari ३२३१ Bengali ৩২৩১ Tamil ௩௨௩௧ Thai ๓๒๓๑ Tibetan ༣༢༣༡ Khmer ៣២៣១ Lao ໓໒໓໑ Burmese ၃၂၃၁

Digit at this position in famous constants

π — Pi (π): Digit 3,231 = 8
e — Euler's number (e): Digit 3,231 = 5
φ — Golden ratio (φ): Digit 3,231 = 2
√2 — Pythagoras's (√2): Digit 3,231 = 4
ln 2 — Natural log of 2: Digit 3,231 = 4
γ — Euler-Mascheroni (γ): Digit 3,231 = 8

Also seen as

Unicode codepoint

ಟ

Kannada Letter Tta

U+0C9F

Other letter (Lo)

UTF-8 encoding: E0 B2 9F (3 bytes).

Lookup U+0C9F on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#000C9F

RGB(0, 12, 159)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.12.159.

Address: 0.0.12.159
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.12.159

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

Musical pitch

Heard as a frequency, 3,231 Hz is closest to:

Concert pitch (A4 = 440 Hz): G♯7 (3322.4 Hz, -48¢ — about midway to G7)
Scientific pitch (C4 = 256 Hz): G♯7 (3251 Hz, -11¢)
Baroque pitch (A4 = 415 Hz): A7 (3320 Hz, -47¢ — about midway to G♯7)

Position in π

The digit sequence 3231 first appears in π at position 5,399 of the decimal expansion (the 5,399ordinal-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 3231 on Pi Search ↗