Number

3,301

3,301 is a prime, odd.

3,301 (three thousand three hundred one) is an odd 4-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in Roman numerals it is MMMCCCI and in binary, 110011100101.

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

Interestingness

★ ★ ★ ★ ★

10 notable facts · grade A

3,289 3,290 3,291 3,292 3,293 3,294 3,295 3,296 3,297 3,298 3,299 3,300 3,301 3,302 3,303 3,304 3,305 3,306 3,307 3,308 3,309 3,310 3,311 3,312 3,313

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Properties

Parity: Odd
Digit count: 4
Digit sum: 7
Digit product: 0
Digital root: 7
Palindrome: No
Bit width: 12 bits
Reversed: 1,033
Recamán's sequence: a(6,746) = 3,301
Square (n²): 10,896,601
Cube (n³): 35,969,679,901
Divisor count: 2
σ(n) — sum of divisors: 3,302
φ(n) — Euler's totient: 3,300

Primality

3,301 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)

1 · 3301

Aliquot sum (sum of proper divisors): 1

Factor pairs (a × b = 3,301)

1 × 3301

First multiples

3,301 · 6,602 (double) · 9,903 · 13,204 · 16,505 · 19,806 · 23,107 · 26,408 · 29,709 · 33,010

Sums & aliquot sequence

As a sum of two squares: 30² + 49²

As consecutive integers: 1,650 + 1,651

Continued fraction of √n

√3,301 = [57; (2, 4, 1, 37, 2, 15, 1, 11, 1, 4, 1, 4, 1, 1, 1, 3, 1, 1, 1, 1, 3, 1, 1, 1, …)]

Period length 37 — the block in parentheses repeats forever.

Representations

In words: three thousand three hundred one
Ordinal: 3301st
Roman numeral: MMMCCCI
Binary: 110011100101
Octal: 6345
Hexadecimal: 0xCE5
Base64: DOU=
One's complement: 62,234 (16-bit)
Scientific notation: 3.301 × 10³
As a duration: 3,301 s = 55 minutes, 1 second

In other bases

ternary (3) 11112021

quaternary (4) 303211

quinary (5) 101201

senary (6) 23141

septenary (7) 12424

nonary (9) 4467

undecimal (11) 2531

duodecimal (12) 1ab1

tridecimal (13) 166c

tetradecimal (14) 12bb

pentadecimal (15) ea1

As an angle

3,301° = 9 × 360° + 61°

61° ≈ 1.065 rad

Compass bearing: ENE (east-northeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒁹
Egyptian hieroglyphic: 𓆼𓆼𓆼𓍢𓍢𓍢𓏺
Greek (Milesian): ͵γταʹ
Mayan (base 20): 𝋨·𝋥·𝋡
Chinese: 三千三百零一
Chinese (financial): 參仟參佰零壹

In other modern scripts

Eastern Arabic ٣٣٠١ Devanagari ३३०१ Bengali ৩৩০১ Tamil ௩௩௦௧ Thai ๓๓๐๑ Tibetan ༣༣༠༡ Khmer ៣៣០១ Lao ໓໓໐໑ Burmese ၃၃၀၁

Digit at this position in famous constants

π — Pi (π): Digit 3,301 = 7
e — Euler's number (e): Digit 3,301 = 0
φ — Golden ratio (φ): Digit 3,301 = 6
√2 — Pythagoras's (√2): Digit 3,301 = 0
ln 2 — Natural log of 2: Digit 3,301 = 5
γ — Euler-Mascheroni (γ): Digit 3,301 = 0

Also seen as

Prime neighborhood

Adjacent primes:

Previous prime: 3,299 (gap of 2)
Next prime: 3,307 (gap of 6)

Pair status: twin with 3299, sexy with 3307.

Hex color

#000CE5

RGB(0, 12, 229)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.12.229.

Address: 0.0.12.229
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.12.229

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

Musical pitch

Heard as a frequency, 3,301 Hz is closest to:

Concert pitch (A4 = 440 Hz): G♯7 (3322.4 Hz, -11¢)
Scientific pitch (C4 = 256 Hz): G♯7 (3251 Hz, +26¢)
Baroque pitch (A4 = 415 Hz): A7 (3320 Hz, -10¢)

Position in π

The digit sequence 3301 first appears in π at position 11,430 of the decimal expansion (the 11,430ordinal-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 3301 on Pi Search ↗