Number

4,801

4,801 is a prime, odd.

4,801 (four thousand eight hundred one) is an odd 4-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x12C1.

Arithmetic Number Chen Prime Cube-Free Deficient Number Odious Number Pernicious Number Prime Pythagorean Prime Recamán's Sequence Squarefree Twin Prime

Interestingness

★ ★ ★ ★ ★

8 notable facts · grade A

4,789 4,790 4,791 4,792 4,793 4,794 4,795 4,796 4,797 4,798 4,799 4,800 4,801 4,802 4,803 4,804 4,805 4,806 4,807 4,808 4,809 4,810 4,811 4,812 4,813

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Properties

Parity: Odd
Digit count: 4
Digit sum: 13
Digit product: 0
Digital root: 4
Palindrome: No
Bit width: 13 bits
Reversed: 1,084
Recamán's sequence: a(28,322) = 4,801
Square (n²): 23,049,601
Cube (n³): 110,661,134,401
Divisor count: 2
σ(n) — sum of divisors: 4,802
φ(n) — Euler's totient: 4,800

Primality

4,801 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)

1 · 4801

Aliquot sum (sum of proper divisors): 1

Factor pairs (a × b = 4,801)

1 × 4801

First multiples

4,801 · 9,602 (double) · 14,403 · 19,204 · 24,005 · 28,806 · 33,607 · 38,408 · 43,209 · 48,010

Sums & aliquot sequence

As a sum of two squares: 24² + 65²

As consecutive integers: 2,400 + 2,401

Continued fraction of √n

√4,801 = [69; (3, 2, 5, 2, 1, 8, 1, 1, 4, 3, 1, 45, 2, 3, 17, 27, 1, 1, 1, 11, 1, 14, 2, 10, …)]

Representations

In words: four thousand eight hundred one
Ordinal: 4801st
Binary: 1001011000001
Octal: 11301
Hexadecimal: 0x12C1
Base64: EsE=
One's complement: 60,734 (16-bit)
Scientific notation: 4.801 × 10³
As a duration: 4,801 s = 1 hour, 20 minutes, 1 second

In other bases

ternary (3) 20120211

quaternary (4) 1023001

quinary (5) 123201

senary (6) 34121

septenary (7) 16666

nonary (9) 6524

undecimal (11) 3675

duodecimal (12) 2941

tridecimal (13) 2254

tetradecimal (14) 1a6d

pentadecimal (15) 1651

As an angle

4,801° = 13 × 360° + 121°

121° ≈ 2.112 rad

Compass bearing: ESE (east-southeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹 𒌋𒌋 𒁹
Egyptian hieroglyphic: 𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓏺
Greek (Milesian): ͵δωαʹ
Mayan (base 20): 𝋬·𝋠·𝋡
Chinese: 四千八百零一
Chinese (financial): 肆仟捌佰零壹

In other modern scripts

Eastern Arabic ٤٨٠١ Devanagari ४८०१ Bengali ৪৮০১ Tamil ௪௮௦௧ Thai ๔๘๐๑ Tibetan ༤༨༠༡ Khmer ៤៨០១ Lao ໔໘໐໑ Burmese ၄၈၀၁

Digit at this position in famous constants

π — Pi (π): Digit 4,801 = 6
e — Euler's number (e): Digit 4,801 = 3
φ — Golden ratio (φ): Digit 4,801 = 5
√2 — Pythagoras's (√2): Digit 4,801 = 2
ln 2 — Natural log of 2: Digit 4,801 = 6
γ — Euler-Mascheroni (γ): Digit 4,801 = 3

Also seen as

Prime neighborhood

Adjacent primes:

Previous prime: 4,799 (gap of 2)
Next prime: 4,813 (gap of 12)

Pair status: twin with 4799.

Hex color

#0012C1

RGB(0, 18, 193)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.18.193.

Address: 0.0.18.193
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.18.193

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

Musical pitch

Heard as a frequency, 4,801 Hz is closest to:

Concert pitch (A4 = 440 Hz): D8 (4698.6 Hz, +37¢)
Scientific pitch (C4 = 256 Hz): D♯8 (4871 Hz, -25¢)
Baroque pitch (A4 = 415 Hz): D♯8 (4695.2 Hz, +39¢)

Position in π

The digit sequence 4801 first appears in π at position 4,552 of the decimal expansion (the 4,552ordinal-suffix:nd 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 4801 on Pi Search ↗