Number

4,201

4,201 is a prime, odd.

4,201 (four thousand two hundred one) is an odd 4-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x1069.

Arithmetic Number Cube-Free Deficient Number Odious Number Pernicious Number Prime Pythagorean Prime Squarefree

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

4,189 4,190 4,191 4,192 4,193 4,194 4,195 4,196 4,197 4,198 4,199 4,200 4,201 4,202 4,203 4,204 4,205 4,206 4,207 4,208 4,209 4,210 4,211 4,212 4,213

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Properties

Parity: Odd
Digit count: 4
Digit sum: 7
Digit product: 0
Digital root: 7
Palindrome: No
Bit width: 13 bits
Reversed: 1,024
Square (n²): 17,648,401
Cube (n³): 74,140,932,601
Divisor count: 2
σ(n) — sum of divisors: 4,202
φ(n) — Euler's totient: 4,200

Primality

4,201 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)

1 · 4201

Aliquot sum (sum of proper divisors): 1

Factor pairs (a × b = 4,201)

1 × 4201

First multiples

4,201 · 8,402 (double) · 12,603 · 16,804 · 21,005 · 25,206 · 29,407 · 33,608 · 37,809 · 42,010

Sums & aliquot sequence

As a sum of two squares: 40² + 51²

As consecutive integers: 2,100 + 2,101

Continued fraction of √n

√4,201 = [64; (1, 4, 2, 2, 4, 15, 1, 42, 3, 1, 2, 7, 1, 2, 1, 4, 1, 1, 1, 13, 1, 3, 8, 2, …)]

Representations

In words: four thousand two hundred one
Ordinal: 4201st
Binary: 1000001101001
Octal: 10151
Hexadecimal: 0x1069
Base64: EGk=
One's complement: 61,334 (16-bit)
Scientific notation: 4.201 × 10³
As a duration: 4,201 s = 1 hour, 10 minutes, 1 second

In other bases

ternary (3) 12202121

quaternary (4) 1001221

quinary (5) 113301

senary (6) 31241

septenary (7) 15151

nonary (9) 5677

undecimal (11) 317a

duodecimal (12) 2521

tridecimal (13) 1bb2

tetradecimal (14) 1761

pentadecimal (15) 13a1

Palindromic in base 7

As an angle

4,201° = 11 × 360° + 241°

241° ≈ 4.206 rad

Compass bearing: WSW (west-southwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹 𒌋 𒁹
Egyptian hieroglyphic: 𓆼𓆼𓆼𓆼𓍢𓍢𓏺
Greek (Milesian): ͵δσαʹ
Mayan (base 20): 𝋪·𝋪·𝋡
Chinese: 四千二百零一
Chinese (financial): 肆仟貳佰零壹

In other modern scripts

Eastern Arabic ٤٢٠١ Devanagari ४२०१ Bengali ৪২০১ Tamil ௪௨௦௧ Thai ๔๒๐๑ Tibetan ༤༢༠༡ Khmer ៤២០១ Lao ໔໒໐໑ Burmese ၄၂၀၁

Digit at this position in famous constants

π — Pi (π): Digit 4,201 = 0
e — Euler's number (e): Digit 4,201 = 2
φ — Golden ratio (φ): Digit 4,201 = 1
√2 — Pythagoras's (√2): Digit 4,201 = 0
ln 2 — Natural log of 2: Digit 4,201 = 1
γ — Euler-Mascheroni (γ): Digit 4,201 = 8

Also seen as

Prime neighborhood

Adjacent primes:

Previous prime: 4,177 (gap of 24)
Next prime: 4,211 (gap of 10)

Unicode codepoint

ၩ

Myanmar Sign Western Pwo Karen Tone-1

U+1069

Spacing combining mark (Mc)

UTF-8 encoding: E1 81 A9 (3 bytes).

Lookup U+1069 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#001069

RGB(0, 16, 105)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.16.105.

Address: 0.0.16.105
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.16.105

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

Musical pitch

Heard as a frequency, 4,201 Hz is closest to:

Concert pitch (A4 = 440 Hz): C8 (4186 Hz, +6¢)
Scientific pitch (C4 = 256 Hz): C8 (4096 Hz, +44¢)
Baroque pitch (A4 = 415 Hz): C♯8 (4182.9 Hz, +7¢)

Position in π

The digit sequence 4201 first appears in π at position 701 of the decimal expansion (the 701ordinal-suffix:st 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 4201 on Pi Search ↗