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Number

4,201

4,201 is a prime, odd.

Arithmetic Number Deficient Number Odious Number Pernicious Number Prime Pythagorean Prime Squarefree

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

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)
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

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).

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.

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.