Live analysis

2,301

2,301 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.).

2,301 (two thousand three hundred one) is an odd 4-digit number. It is a composite number with 8 divisors, and factors as 3 × 13 × 59. Written other ways, in Roman numerals it is MMCCCI and in binary, 100011111101.

Arithmetic Number Cube-Free Deficient Number Evil Number Nonagonal Recamán's Sequence Self Number Sphenic Number Squarefree

Interestingness

★ ★ ★ ★ ☆

7 notable facts · grade B

2,289 2,290 2,291 2,292 2,293 2,294 2,295 2,296 2,297 2,298 2,299 2,300 2,301 2,302 2,303 2,304 2,305 2,306 2,307 2,308 2,309 2,310 2,311 2,312 2,313

less more

Properties

Parity: Odd
Digit count: 4
Digit sum: 6
Digit product: 0
Digital root: 6
Palindrome: No
Bit width: 12 bits
Reversed: 1,032
Recamán's sequence: a(3,149) = 2,301
Square (n²): 5,294,601
Cube (n³): 12,182,876,901
Divisor count: 8
σ(n) — sum of divisors: 3,360
φ(n) — Euler's totient: 1,392
Sum of prime factors: 75

Primality

Prime factorization: 3 × 13 × 59

Nearest primes: 2,297 (−4) · 2,309 (+8)

Divisors & multiples

All divisors (8)

1 · 3 · 13 · 39 · 59 · 177 · 767 · 2301

Aliquot sum (sum of proper divisors): 1,059

Factor pairs (a × b = 2,301)

1 × 2301

3 × 767

13 × 177

39 × 59

First multiples

2,301 · 4,602 (double) · 6,903 · 9,204 · 11,505 · 13,806 · 16,107 · 18,408 · 20,709 · 23,010

Sums & aliquot sequence

As consecutive integers: 1,150 + 1,151 766 + 767 + 768 381 + 382 + 383 + 384 + 385 + 386 171 + 172 + … + 183

Aliquot sequence: 2,301 → 1,059 → 357 → 219 → 77 → 19 → 1 → 0 — terminates at zero

Continued fraction of √n

√2,301 = [47; (1, 30, 1, 94)]

Period length 4 — the block in parentheses repeats forever.

Representations

In words: two thousand three hundred one
Ordinal: 2301st
Roman numeral: MMCCCI
Binary: 100011111101
Octal: 4375
Hexadecimal: 0x8FD
Base64: CP0=
One's complement: 63,234 (16-bit)
Scientific notation: 2.301 × 10³
As a duration: 2,301 s = 38 minutes, 21 seconds

In other bases

ternary (3) 10011020

quaternary (4) 203331

quinary (5) 33201

senary (6) 14353

septenary (7) 6465

nonary (9) 3136

undecimal (11) 1802

duodecimal (12) 13b9

tridecimal (13) 1080

tetradecimal (14) ba5

pentadecimal (15) a36

As an angle

2,301° = 6 × 360° + 141°

141° ≈ 2.461 rad

Compass bearing: SE (southeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹
Egyptian hieroglyphic: 𓆼𓆼𓍢𓍢𓍢𓏺
Greek (Milesian): ͵βταʹ
Mayan (base 20): 𝋥·𝋯·𝋡
Chinese: 二千三百零一
Chinese (financial): 貳仟參佰零壹

In other modern scripts

Eastern Arabic ٢٣٠١ Devanagari २३०१ Bengali ২৩০১ Tamil ௨௩௦௧ Thai ๒๓๐๑ Tibetan ༢༣༠༡ Khmer ២៣០១ Lao ໒໓໐໑ Burmese ၂၃၀၁

Digit at this position in famous constants

π — Pi (π): Digit 2,301 = 8
e — Euler's number (e): Digit 2,301 = 8
φ — Golden ratio (φ): Digit 2,301 = 3
√2 — Pythagoras's (√2): Digit 2,301 = 4
ln 2 — Natural log of 2: Digit 2,301 = 5
γ — Euler-Mascheroni (γ): Digit 2,301 = 9

Also seen as

Unicode codepoint

ࣽ

Arabic Right Arrowhead Above With Dot

U+08FD

Non-spacing mark (Mn)

UTF-8 encoding: E0 A3 BD (3 bytes).

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

Hex color

#0008FD

RGB(0, 8, 253)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.8.253.

Address: 0.0.8.253
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.8.253

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

Musical pitch

Heard as a frequency, 2,301 Hz is closest to:

Concert pitch (A4 = 440 Hz): D7 (2349.3 Hz, -36¢)
Scientific pitch (C4 = 256 Hz): D7 (2298.8 Hz, +2¢)
Baroque pitch (A4 = 415 Hz): D♯7 (2347.6 Hz, -35¢)

Position in π

The digit sequence 2301 first appears in π at position 8,157 of the decimal expansion (the 8,157ordinal-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 2301 on Pi Search ↗