Number

7,331

7,331 is a prime, odd.

7,331 (seven thousand three hundred thirty-one) is an odd 4-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x1CA3.

Arithmetic Number Chen Prime Cube-Free Deficient Number Happy Number Odious Number Pernicious Number Prime Recamán's Sequence Right-Truncatable Prime Squarefree Twin Prime

Interestingness

★ ★ ★ ★ ★

9 notable facts · grade A

7,319 7,320 7,321 7,322 7,323 7,324 7,325 7,326 7,327 7,328 7,329 7,330 7,331 7,332 7,333 7,334 7,335 7,336 7,337 7,338 7,339 7,340 7,341 7,342 7,343

less more

Properties

Parity: Odd
Digit count: 4
Digit sum: 14
Digit product: 63
Digital root: 5
Palindrome: No
Bit width: 13 bits
Reversed: 1,337
Recamán's sequence: a(11,365) = 7,331
Square (n²): 53,743,561
Cube (n³): 393,994,045,691
Divisor count: 2
σ(n) — sum of divisors: 7,332
φ(n) — Euler's totient: 7,330

Primality

7,331 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)

1 · 7331

Aliquot sum (sum of proper divisors): 1

Factor pairs (a × b = 7,331)

1 × 7331

First multiples

7,331 · 14,662 (double) · 21,993 · 29,324 · 36,655 · 43,986 · 51,317 · 58,648 · 65,979 · 73,310

Sums & aliquot sequence

As consecutive integers: 3,665 + 3,666

Continued fraction of √n

√7,331 = [85; (1, 1, 1, 1, 1, 3, 1, 1, 4, 3, 85, 3, 4, 1, 1, 3, 1, 1, 1, 1, 1, 170)]

Period length 22 — the block in parentheses repeats forever.

Representations

In words: seven thousand three hundred thirty-one
Ordinal: 7331st
Binary: 1110010100011
Octal: 16243
Hexadecimal: 0x1CA3
Base64: HKM=
One's complement: 58,204 (16-bit)
Scientific notation: 7.331 × 10³
As a duration: 7,331 s = 2 hours, 2 minutes, 11 seconds

In other bases

ternary (3) 101001112

quaternary (4) 1302203

quinary (5) 213311

senary (6) 53535

septenary (7) 30242

nonary (9) 11045

undecimal (11) 5565

duodecimal (12) 42ab

tridecimal (13) 344c

tetradecimal (14) 2959

pentadecimal (15) 228b

Palindromic in base 6

As an angle

7,331° = 20 × 360° + 131°

131° ≈ 2.286 rad

Compass bearing: SE (southeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹 𒁹𒁹 𒌋𒁹
Egyptian hieroglyphic: 𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓏺
Greek (Milesian): ͵ζτλαʹ
Mayan (base 20): 𝋲·𝋦·𝋫
Chinese: 七千三百三十一
Chinese (financial): 柒仟參佰參拾壹

In other modern scripts

Eastern Arabic ٧٣٣١ Devanagari ७३३१ Bengali ৭৩৩১ Tamil ௭௩௩௧ Thai ๗๓๓๑ Tibetan ༧༣༣༡ Khmer ៧៣៣១ Lao ໗໓໓໑ Burmese ၇၃၃၁

Digit at this position in famous constants

π — Pi (π): Digit 7,331 = 3
e — Euler's number (e): Digit 7,331 = 3
φ — Golden ratio (φ): Digit 7,331 = 1
√2 — Pythagoras's (√2): Digit 7,331 = 3
ln 2 — Natural log of 2: Digit 7,331 = 8
γ — Euler-Mascheroni (γ): Digit 7,331 = 0

Also seen as

Prime neighborhood

Adjacent primes:

Previous prime: 7,321 (gap of 10)
Next prime: 7,333 (gap of 2)

Pair status: twin with 7333.

Unicode codepoint

Უ

Georgian Mtavruli Capital Letter Un

U+1CA3

Uppercase letter (Lu)

UTF-8 encoding: E1 B2 A3 (3 bytes).

Lookup U+1CA3 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#001CA3

RGB(0, 28, 163)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.28.163.

Address: 0.0.28.163
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.28.163

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

Musical pitch

Heard as a frequency, 7,331 Hz is closest to:

Concert pitch (A4 = 440 Hz): A♯8 (7458.6 Hz, -30¢)
Scientific pitch (C4 = 256 Hz): A♯8 (7298.2 Hz, +8¢)
Baroque pitch (A4 = 415 Hz): B8 (7453.1 Hz, -29¢)

Position in π

The digit sequence 7331 first appears in π at position 12,649 of the decimal expansion (the 12,649ordinal-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 7331 on Pi Search ↗