Number

3,373

3,373 is a prime, odd.

3,373 (three thousand three hundred seventy-three) 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 MMMCCCLXXIII and in binary, 110100101101.

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

Interestingness

★ ★ ★ ★ ★

9 notable facts · grade A

3,361 3,362 3,363 3,364 3,365 3,366 3,367 3,368 3,369 3,370 3,371 3,372 3,373 3,374 3,375 3,376 3,377 3,378 3,379 3,380 3,381 3,382 3,383 3,384 3,385

less more

Properties

Parity: Odd
Digit count: 4
Digit sum: 16
Digit product: 189
Digital root: 7
Palindrome: No
Bit width: 12 bits
Reversed: 3,733
Recamán's sequence: a(29,398) = 3,373
Square (n²): 11,377,129
Cube (n³): 38,375,056,117
Divisor count: 2
σ(n) — sum of divisors: 3,374
φ(n) — Euler's totient: 3,372

Primality

3,373 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)

1 · 3373

Aliquot sum (sum of proper divisors): 1

Factor pairs (a × b = 3,373)

1 × 3373

First multiples

3,373 · 6,746 (double) · 10,119 · 13,492 · 16,865 · 20,238 · 23,611 · 26,984 · 30,357 · 33,730

Sums & aliquot sequence

As a sum of two squares: 3² + 58²

As consecutive integers: 1,686 + 1,687

Continued fraction of √n

√3,373 = [58; (12, 1, 8, 1, 3, 9, 2, 2, 1, 3, 28, 1, 3, 2, 1, 38, 38, 1, 2, 3, 1, 28, 3, 1, …)]

Period length 33 — the block in parentheses repeats forever.

Representations

In words: three thousand three hundred seventy-three
Ordinal: 3373rd
Roman numeral: MMMCCCLXXIII
Binary: 110100101101
Octal: 6455
Hexadecimal: 0xD2D
Base64: DS0=
One's complement: 62,162 (16-bit)
Scientific notation: 3.373 × 10³
As a duration: 3,373 s = 56 minutes, 13 seconds

In other bases

ternary (3) 11121221

quaternary (4) 310231

quinary (5) 101443

senary (6) 23341

septenary (7) 12556

nonary (9) 4557

undecimal (11) 2597

duodecimal (12) 1b51

tridecimal (13) 16c6

tetradecimal (14) 132d

pentadecimal (15) eed

Palindromic in base 16

As an angle

3,373° = 9 × 360° + 133°

133° ≈ 2.321 rad

Compass bearing: SE (southeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹
Egyptian hieroglyphic: 𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺
Greek (Milesian): ͵γτογʹ
Mayan (base 20): 𝋨·𝋨·𝋭
Chinese: 三千三百七十三
Chinese (financial): 參仟參佰柒拾參

In other modern scripts

Eastern Arabic ٣٣٧٣ Devanagari ३३७३ Bengali ৩৩৭৩ Tamil ௩௩௭௩ Thai ๓๓๗๓ Tibetan ༣༣༧༣ Khmer ៣៣៧៣ Lao ໓໓໗໓ Burmese ၃၃၇၃

Digit at this position in famous constants

π — Pi (π): Digit 3,373 = 4
e — Euler's number (e): Digit 3,373 = 9
φ — Golden ratio (φ): Digit 3,373 = 5
√2 — Pythagoras's (√2): Digit 3,373 = 4
ln 2 — Natural log of 2: Digit 3,373 = 3
γ — Euler-Mascheroni (γ): Digit 3,373 = 8

Also seen as

Prime neighborhood

Adjacent primes:

Previous prime: 3,371 (gap of 2)
Next prime: 3,389 (gap of 16)

Pair status: twin with 3371.

Unicode codepoint

ഭ

Malayalam Letter Bha

U+0D2D

Other letter (Lo)

UTF-8 encoding: E0 B4 AD (3 bytes).

Lookup U+0D2D on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#000D2D

RGB(0, 13, 45)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.13.45.

Address: 0.0.13.45
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.13.45

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

Musical pitch

Heard as a frequency, 3,373 Hz is closest to:

Concert pitch (A4 = 440 Hz): G♯7 (3322.4 Hz, +26¢)
Scientific pitch (C4 = 256 Hz): A7 (3444.3 Hz, -36¢)
Baroque pitch (A4 = 415 Hz): A7 (3320 Hz, +27¢)

Position in π

The digit sequence 3373 first appears in π at position 13,261 of the decimal expansion (the 13,261ordinal-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 3373 on Pi Search ↗