Live analysis

2,201

2,201 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.).

2,201 (two thousand two hundred one) is an odd 4-digit number. It is a composite number with 4 divisors, and factors as 31 × 71. Written other ways, in Roman numerals it is MMCCI and in binary, 100010011001.

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

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

2,189 2,190 2,191 2,192 2,193 2,194 2,195 2,196 2,197 2,198 2,199 2,200 2,201 2,202 2,203 2,204 2,205 2,206 2,207 2,208 2,209 2,210 2,211 2,212 2,213

less more

Properties

Parity: Odd
Digit count: 4
Digit sum: 5
Digit product: 0
Digital root: 5
Palindrome: No
Bit width: 12 bits
Reversed: 1,022
Recamán's sequence: a(3,349) = 2,201
Square (n²): 4,844,401
Cube (n³): 10,662,526,601
Divisor count: 4
σ(n) — sum of divisors: 2,304
φ(n) — Euler's totient: 2,100
Sum of prime factors: 102

Primality

Prime factorization: 31 × 71

Nearest primes: 2,179 (−22) · 2,203 (+2)

Divisors & multiples

All divisors (4)

1 · 31 · 71 · 2201

Aliquot sum (sum of proper divisors): 103

Factor pairs (a × b = 2,201)

1 × 2201

31 × 71

First multiples

2,201 · 4,402 (double) · 6,603 · 8,804 · 11,005 · 13,206 · 15,407 · 17,608 · 19,809 · 22,010

Sums & aliquot sequence

As consecutive integers: 1,100 + 1,101 56 + 57 + … + 86 5 + 6 + … + 66

Aliquot sequence: 2,201 → 103 → 1 → 0 — terminates at zero

Continued fraction of √n

√2,201 = [46; (1, 10, 1, 2, 1, 5, 8, 2, 1, 4, 3, 1, 6, 2, 5, 18, 1, 1, 2, 1, 1, 18, 5, 2, …)]

Period length 38 — the block in parentheses repeats forever.

Representations

In words: two thousand two hundred one
Ordinal: 2201st
Roman numeral: MMCCI
Binary: 100010011001
Octal: 4231
Hexadecimal: 0x899
Base64: CJk=
One's complement: 63,334 (16-bit)
Scientific notation: 2.201 × 10³
As a duration: 2,201 s = 36 minutes, 41 seconds

In other bases

ternary (3) 10000112

quaternary (4) 202121

quinary (5) 32301

senary (6) 14105

septenary (7) 6263

nonary (9) 3015

undecimal (11) 1721

duodecimal (12) 1335

tridecimal (13) 1004

tetradecimal (14) b33

pentadecimal (15) 9bb

As an angle

2,201° = 6 × 360° + 41°

41° ≈ 0.716 rad

Compass bearing: NE (northeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹
Egyptian hieroglyphic: 𓆼𓆼𓍢𓍢𓏺
Greek (Milesian): ͵βσαʹ
Mayan (base 20): 𝋥·𝋪·𝋡
Chinese: 二千二百零一
Chinese (financial): 貳仟貳佰零壹

In other modern scripts

Eastern Arabic ٢٢٠١ Devanagari २२०१ Bengali ২২০১ Tamil ௨௨௦௧ Thai ๒๒๐๑ Tibetan ༢༢༠༡ Khmer ២២០១ Lao ໒໒໐໑ Burmese ၂၂၀၁

Digit at this position in famous constants

π — Pi (π): Digit 2,201 = 2
e — Euler's number (e): Digit 2,201 = 0
φ — Golden ratio (φ): Digit 2,201 = 9
√2 — Pythagoras's (√2): Digit 2,201 = 5
ln 2 — Natural log of 2: Digit 2,201 = 1
γ — Euler-Mascheroni (γ): Digit 2,201 = 9

Also seen as

Unicode codepoint

࢙

Arabic Small Low Word Ishmaam

U+0899

Non-spacing mark (Mn)

UTF-8 encoding: E0 A2 99 (3 bytes).

Lookup U+0899 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#000899

RGB(0, 8, 153)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.8.153.

Address: 0.0.8.153
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.8.153

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

Musical pitch

Heard as a frequency, 2,201 Hz is closest to:

Concert pitch (A4 = 440 Hz): C♯7 (2217.5 Hz, -13¢)
Scientific pitch (C4 = 256 Hz): C♯7 (2169.8 Hz, +25¢)
Baroque pitch (A4 = 415 Hz): D7 (2215.8 Hz, -12¢)

Position in π

The digit sequence 2201 first appears in π at position 6,275 of the decimal expansion (the 6,275ordinal-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 2201 on Pi Search ↗