Live analysis

3,201

3,201 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.).

3,201 (three thousand two hundred one) is an odd 4-digit number. It is a composite number with 8 divisors, and factors as 3 × 11 × 97. Written other ways, in Roman numerals it is MMMCCI and in binary, 110010000001.

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

Interestingness

★ ★ ★ ★ ☆

7 notable facts · grade B

3,189 3,190 3,191 3,192 3,193 3,194 3,195 3,196 3,197 3,198 3,199 3,200 3,201 3,202 3,203 3,204 3,205 3,206 3,207 3,208 3,209 3,210 3,211 3,212 3,213

less more

Properties

Parity: Odd
Digit count: 4
Digit sum: 6
Digit product: 0
Digital root: 6
Palindrome: No
Bit width: 12 bits
Reversed: 1,023
Recamán's sequence: a(6,946) = 3,201
Square (n²): 10,246,401
Cube (n³): 32,798,729,601
Divisor count: 8
σ(n) — sum of divisors: 4,704
φ(n) — Euler's totient: 1,920
Sum of prime factors: 111

Primality

Prime factorization: 3 × 11 × 97

Nearest primes: 3,191 (−10) · 3,203 (+2)

Divisors & multiples

All divisors (8)

1 · 3 · 11 · 33 · 97 · 291 · 1067 · 3201

Aliquot sum (sum of proper divisors): 1,503

Factor pairs (a × b = 3,201)

1 × 3201

3 × 1067

11 × 291

33 × 97

First multiples

3,201 · 6,402 (double) · 9,603 · 12,804 · 16,005 · 19,206 · 22,407 · 25,608 · 28,809 · 32,010

Sums & aliquot sequence

As consecutive integers: 1,600 + 1,601 1,066 + 1,067 + 1,068 531 + 532 + 533 + 534 + 535 + 536 286 + 287 + … + 296

Aliquot sequence: 3,201 → 1,503 → 681 → 231 → 153 → 81 → 40 → 50 → 43 → 1 → 0 — terminates at zero

Continued fraction of √n

√3,201 = [56; (1, 1, 2, 1, 2, 1, 2, 1, 1, 112)]

Period length 10 — the block in parentheses repeats forever.

Representations

In words: three thousand two hundred one
Ordinal: 3201st
Roman numeral: MMMCCI
Binary: 110010000001
Octal: 6201
Hexadecimal: 0xC81
Base64: DIE=
One's complement: 62,334 (16-bit)
Scientific notation: 3.201 × 10³
As a duration: 3,201 s = 53 minutes, 21 seconds

In other bases

ternary (3) 11101120

quaternary (4) 302001

quinary (5) 100301

senary (6) 22453

septenary (7) 12222

nonary (9) 4346

undecimal (11) 2450

duodecimal (12) 1a29

tridecimal (13) 15c3

tetradecimal (14) 1249

pentadecimal (15) e36

As an angle

3,201° = 8 × 360° + 321°

321° ≈ 5.603 rad

Compass bearing: NW (northwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒁹
Egyptian hieroglyphic: 𓆼𓆼𓆼𓍢𓍢𓏺
Greek (Milesian): ͵γσαʹ
Mayan (base 20): 𝋨·𝋠·𝋡
Chinese: 三千二百零一
Chinese (financial): 參仟貳佰零壹

In other modern scripts

Eastern Arabic ٣٢٠١ Devanagari ३२०१ Bengali ৩২০১ Tamil ௩௨௦௧ Thai ๓๒๐๑ Tibetan ༣༢༠༡ Khmer ៣២០១ Lao ໓໒໐໑ Burmese ၃၂၀၁

Digit at this position in famous constants

π — Pi (π): Digit 3,201 = 6
e — Euler's number (e): Digit 3,201 = 9
φ — Golden ratio (φ): Digit 3,201 = 3
√2 — Pythagoras's (√2): Digit 3,201 = 1
ln 2 — Natural log of 2: Digit 3,201 = 1
γ — Euler-Mascheroni (γ): Digit 3,201 = 6

Also seen as

Unicode codepoint

ಁ

Kannada Sign Candrabindu

U+0C81

Non-spacing mark (Mn)

UTF-8 encoding: E0 B2 81 (3 bytes).

Lookup U+0C81 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#000C81

RGB(0, 12, 129)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.12.129.

Address: 0.0.12.129
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.12.129

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

Musical pitch

Heard as a frequency, 3,201 Hz is closest to:

Concert pitch (A4 = 440 Hz): G7 (3136 Hz, +36¢)
Scientific pitch (C4 = 256 Hz): G♯7 (3251 Hz, -27¢)
Baroque pitch (A4 = 415 Hz): G♯7 (3133.7 Hz, +37¢)

Position in π

The digit sequence 3201 first appears in π at position 10,213 of the decimal expansion (the 10,213ordinal-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 3201 on Pi Search ↗