Number

12,301

12,301 is a prime, odd.

12,301 (twelve thousand three hundred one) is an odd 5-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x300D.

Arithmetic Number Cube-Free Deficient Number Emirp Odious Number Pernicious Number Prime Pythagorean Prime Recamán's Sequence Squarefree

Interestingness

★ ★ ★ ★ ☆

7 notable facts · grade B

12,289 12,290 12,291 12,292 12,293 12,294 12,295 12,296 12,297 12,298 12,299 12,300 12,301 12,302 12,303 12,304 12,305 12,306 12,307 12,308 12,309 12,310 12,311 12,312 12,313

less more

Properties

Parity: Odd
Digit count: 5
Digit sum: 7
Digit product: 0
Digital root: 7
Palindrome: No
Bit width: 14 bits
Reversed: 10,321
Recamán's sequence: a(22,182) = 12,301
Square (n²): 151,314,601
Cube (n³): 1,861,320,906,901
Divisor count: 2
σ(n) — sum of divisors: 12,302
φ(n) — Euler's totient: 12,300

Primality

12,301 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)

1 · 12301

Aliquot sum (sum of proper divisors): 1

Factor pairs (a × b = 12,301)

1 × 12301

First multiples

12,301 · 24,602 (double) · 36,903 · 49,204 · 61,505 · 73,806 · 86,107 · 98,408 · 110,709 · 123,010

Sums & aliquot sequence

As a sum of two squares: 50² + 99²

As consecutive integers: 6,150 + 6,151

Continued fraction of √n

√12,301 = [110; (1, 10, 10, 2, 8, 2, 1, 1, 10, 2, 54, 1, 43, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 43, …)]

Period length 37 — the block in parentheses repeats forever.

Representations

In words: twelve thousand three hundred one
Ordinal: 12301st
Binary: 11000000001101
Octal: 30015
Hexadecimal: 0x300D
Base64: MA0=
One's complement: 53,234 (16-bit)
Scientific notation: 1.2301 × 10⁴
As a duration: 12,301 s = 3 hours, 25 minutes, 1 second

In other bases

ternary (3) 121212121

quaternary (4) 3000031

quinary (5) 343201

senary (6) 132541

septenary (7) 50602

nonary (9) 17777

undecimal (11) 9273

duodecimal (12) 7151

tridecimal (13) 57a3

tetradecimal (14) 46a9

pentadecimal (15) 39a1

Palindromic in base 3

As an angle

12,301° = 34 × 360° + 61°

61° ≈ 1.065 rad

Compass bearing: ENE (east-northeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒁹
Egyptian hieroglyphic: 𓂍𓆼𓆼𓍢𓍢𓍢𓏺
Greek (Milesian): ͵ιβταʹ
Mayan (base 20): 𝋡·𝋪·𝋯·𝋡
Chinese: 一萬二千三百零一
Chinese (financial): 壹萬貳仟參佰零壹

In other modern scripts

Eastern Arabic ١٢٣٠١ Devanagari १२३०१ Bengali ১২৩০১ Tamil ௧௨௩௦௧ Thai ๑๒๓๐๑ Tibetan ༡༢༣༠༡ Khmer ១២៣០១ Lao ໑໒໓໐໑ Burmese ၁၂၃၀၁

Digit at this position in famous constants

π — Pi (π): Digit 12,301 = 0
e — Euler's number (e): Digit 12,301 = 6
φ — Golden ratio (φ): Digit 12,301 = 2
√2 — Pythagoras's (√2): Digit 12,301 = 7
ln 2 — Natural log of 2: Digit 12,301 = 1
γ — Euler-Mascheroni (γ): Digit 12,301 = 9

Also seen as

Prime neighborhood

Adjacent primes:

Previous prime: 12,289 (gap of 12)
Next prime: 12,323 (gap of 22)

Unicode codepoint

」

Right Corner Bracket

U+300D

Close punctuation (Pe)

UTF-8 encoding: E3 80 8D (3 bytes).

Lookup U+300D on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#00300D

RGB(0, 48, 13)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.48.13.

Address: 0.0.48.13
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.48.13

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

Musical pitch

Heard as a frequency, 12,301 Hz is closest to:

Concert pitch (A4 = 440 Hz): G9 (12543.9 Hz, -34¢)
Scientific pitch (C4 = 256 Hz): G9 (12274.1 Hz, +4¢)
Baroque pitch (A4 = 415 Hz): G♯9 (12534.7 Hz, -33¢)

Position in π

The digit sequence 12301 first appears in π at position 8,156 of the decimal expansion (the 8,156ordinal-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 12301 on Pi Search ↗