Live analysis

3,342

3,342 is a composite number, even.

This number doesn't have a permanent NumberWiki page yet — what you see below is computed live. Pages get added to the permanent index when they're notable (years, primes, curated, etc.).

3,342 (three thousand three hundred forty-two) is an even 4-digit number. It is a composite number with 8 divisors, and factors as 2 × 3 × 557. Its proper divisors sum to 3,354, more than the number itself, making it an abundant number. Written other ways, in Roman numerals it is MMMCCCXLII and in binary, 110100001110.

Abundant Number Arithmetic Number Cube-Free Evil Number Recamán's Sequence Semiperfect Number Sphenic Number Squarefree

Interestingness

★ ★ ★ ★ ☆

6 notable facts · grade B

3,330 3,331 3,332 3,333 3,334 3,335 3,336 3,337 3,338 3,339 3,340 3,341 3,342 3,343 3,344 3,345 3,346 3,347 3,348 3,349 3,350 3,351 3,352 3,353 3,354

less more

Properties

Parity: Even
Digit count: 4
Digit sum: 12
Digit product: 72
Digital root: 3
Palindrome: No
Bit width: 12 bits
Reversed: 2,433
Recamán's sequence: a(29,460) = 3,342
Square (n²): 11,168,964
Cube (n³): 37,326,677,688
Divisor count: 8
σ(n) — sum of divisors: 6,696
φ(n) — Euler's totient: 1,112
Sum of prime factors: 562

Primality

Prime factorization: 2 × 3 × 557

Nearest primes: 3,331 (−11) · 3,343 (+1)

Divisors & multiples

All divisors (8)

1 · 2 · 3 · 6 · 557 · 1114 · 1671 (half) · 3342

Aliquot sum (sum of proper divisors): 3,354

Factor pairs (a × b = 3,342)

1 × 3342

2 × 1671

3 × 1114

6 × 557

First multiples

3,342 · 6,684 (double) · 10,026 · 13,368 · 16,710 · 20,052 · 23,394 · 26,736 · 30,078 · 33,420

Sums & aliquot sequence

As consecutive integers: 1,113 + 1,114 + 1,115 834 + 835 + 836 + 837 273 + 274 + … + 284

Aliquot sequence: 3,342 → 3,354 → 4,038 → 4,050 → 7,203 → 4,001 → 1 → 0 — terminates at zero

Continued fraction of √n

√3,342 = [57; (1, 4, 3, 1, 3, 1, 2, 5, 1, 2, 1, 1, 1, 18, 1, 1, 1, 2, 1, 5, 2, 1, 3, 1, …)]

Period length 28 — the block in parentheses repeats forever.

Representations

In words: three thousand three hundred forty-two
Ordinal: 3342nd
Roman numeral: MMMCCCXLII
Binary: 110100001110
Octal: 6416
Hexadecimal: 0xD0E
Base64: DQ4=
One's complement: 62,193 (16-bit)
Scientific notation: 3.342 × 10³
As a duration: 3,342 s = 55 minutes, 42 seconds

In other bases

ternary (3) 11120210

quaternary (4) 310032

quinary (5) 101332

senary (6) 23250

septenary (7) 12513

nonary (9) 4523

undecimal (11) 2569

duodecimal (12) 1b26

tridecimal (13) 16a1

tetradecimal (14) 130a

pentadecimal (15) ecc

As an angle

3,342° = 9 × 360° + 102°

102° ≈ 1.78 rad

Compass bearing: ESE (east-southeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic: 𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian): ͵γτμβʹ
Mayan (base 20): 𝋨·𝋧·𝋢
Chinese: 三千三百四十二
Chinese (financial): 參仟參佰肆拾貳

In other modern scripts

Eastern Arabic ٣٣٤٢ Devanagari ३३४२ Bengali ৩৩৪২ Tamil ௩௩௪௨ Thai ๓๓๔๒ Tibetan ༣༣༤༢ Khmer ៣៣៤២ Lao ໓໓໔໒ Burmese ၃၃၄၂

Digit at this position in famous constants

π — Pi (π): Digit 3,342 = 2
e — Euler's number (e): Digit 3,342 = 7
φ — Golden ratio (φ): Digit 3,342 = 0
√2 — Pythagoras's (√2): Digit 3,342 = 1
ln 2 — Natural log of 2: Digit 3,342 = 2
γ — Euler-Mascheroni (γ): Digit 3,342 = 5

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 3342, here are decompositions:

11 + 3331 = 3342
13 + 3329 = 3342
19 + 3323 = 3342
23 + 3319 = 3342
29 + 3313 = 3342
41 + 3301 = 3342
43 + 3299 = 3342
71 + 3271 = 3342

Showing the first eight; more decompositions exist.

Unicode codepoint

എ

Malayalam Letter E

U+0D0E

Other letter (Lo)

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

Lookup U+0D0E on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#000D0E

RGB(0, 13, 14)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.13.14.

Address: 0.0.13.14
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.13.14

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

Musical pitch

Heard as a frequency, 3,342 Hz is closest to:

Concert pitch (A4 = 440 Hz): G♯7 (3322.4 Hz, +10¢)
Scientific pitch (C4 = 256 Hz): G♯7 (3251 Hz, +48¢ — about midway to A7)
Baroque pitch (A4 = 415 Hz): A7 (3320 Hz, +11¢)

Position in π

The digit sequence 3342 first appears in π at position 6,886 of the decimal expansion (the 6,886ordinal-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 3342 on Pi Search ↗