Live analysis

3,396

3,396 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.).

3,396 (three thousand three hundred ninety-six) is an even 4-digit number. It is a composite number with 12 divisors, and factors as 2² × 3 × 283. Its proper divisors sum to 4,556, more than the number itself, making it an abundant number. Written other ways, in Roman numerals it is MMMCCCXCVI and in binary, 110101000100.

Abundant Number Cube-Free Odious Number Pernicious Number Recamán's Sequence Refactorable Number Semiperfect Number

Interestingness

★ ★ ☆ ☆ ☆

4 notable facts · grade D

3,384 3,385 3,386 3,387 3,388 3,389 3,390 3,391 3,392 3,393 3,394 3,395 3,396 3,397 3,398 3,399 3,400 3,401 3,402 3,403 3,404 3,405 3,406 3,407 3,408

less more

Properties

Parity: Even
Digit count: 4
Digit sum: 21
Digit product: 486
Digital root: 3
Palindrome: No
Bit width: 12 bits
Reversed: 6,933
Recamán's sequence: a(15,099) = 3,396
Square (n²): 11,532,816
Cube (n³): 39,165,443,136
Divisor count: 12
σ(n) — sum of divisors: 7,952
φ(n) — Euler's totient: 1,128
Sum of prime factors: 290

Primality

Prime factorization: 2 ² × 3 × 283

Nearest primes: 3,391 (−5) · 3,407 (+11)

Divisors & multiples

All divisors (12)

1 · 2 · 3 · 4 · 6 · 12 · 283 · 566 · 849 · 1132 · 1698 (half) · 3396

Aliquot sum (sum of proper divisors): 4,556

Factor pairs (a × b = 3,396)

1 × 3396

2 × 1698

3 × 1132

4 × 849

6 × 566

12 × 283

First multiples

3,396 · 6,792 (double) · 10,188 · 13,584 · 16,980 · 20,376 · 23,772 · 27,168 · 30,564 · 33,960

Sums & aliquot sequence

As consecutive integers: 1,131 + 1,132 + 1,133 421 + 422 + … + 428 130 + 131 + … + 153

Aliquot sequence: 3,396 → 4,556 → 4,012 → 3,548 → 2,668 → 2,372 → 1,786 → 1,094 → 550 → 566 → 286 → 218 → 112 → 136 → 134 → 70 → 74 — unresolved within range

Continued fraction of √n

√3,396 = [58; (3, 1, 1, 1, 2, 1, 2, 3, 1, 3, 1, 8, 5, 1, 2, 2, 38, 2, 2, 1, 5, 8, 1, 3, …)]

Period length 34 — the block in parentheses repeats forever.

Representations

In words: three thousand three hundred ninety-six
Ordinal: 3396th
Roman numeral: MMMCCCXCVI
Binary: 110101000100
Octal: 6504
Hexadecimal: 0xD44
Base64: DUQ=
One's complement: 62,139 (16-bit)
Scientific notation: 3.396 × 10³
As a duration: 3,396 s = 56 minutes, 36 seconds

In other bases

ternary (3) 11122210

quaternary (4) 311010

quinary (5) 102041

senary (6) 23420

septenary (7) 12621

nonary (9) 4583

undecimal (11) 2608

duodecimal (12) 1b70

tridecimal (13) 1713

tetradecimal (14) 1348

pentadecimal (15) 1016

Palindromic in base 7

As an angle

3,396° = 9 × 360° + 156°

156° ≈ 2.723 rad

Compass bearing: SSE (south-southeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian): ͵γτϟϛʹ
Mayan (base 20): 𝋨·𝋩·𝋰
Chinese: 三千三百九十六
Chinese (financial): 參仟參佰玖拾陸

In other modern scripts

Eastern Arabic ٣٣٩٦ Devanagari ३३९६ Bengali ৩৩৯৬ Tamil ௩௩௯௬ Thai ๓๓๙๖ Tibetan ༣༣༩༦ Khmer ៣៣៩៦ Lao ໓໓໙໖ Burmese ၃၃၉၆

Digit at this position in famous constants

π — Pi (π): Digit 3,396 = 5
e — Euler's number (e): Digit 3,396 = 5
φ — Golden ratio (φ): Digit 3,396 = 6
√2 — Pythagoras's (√2): Digit 3,396 = 9
ln 2 — Natural log of 2: Digit 3,396 = 5
γ — Euler-Mascheroni (γ): Digit 3,396 = 9

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 3396, here are decompositions:

5 + 3391 = 3396
7 + 3389 = 3396
23 + 3373 = 3396
37 + 3359 = 3396
53 + 3343 = 3396
67 + 3329 = 3396
73 + 3323 = 3396
83 + 3313 = 3396

Showing the first eight; more decompositions exist.

Unicode codepoint

ൄ

Malayalam Vowel Sign Vocalic Rr

U+0D44

Non-spacing mark (Mn)

UTF-8 encoding: E0 B5 84 (3 bytes).

Lookup U+0D44 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#000D44

RGB(0, 13, 68)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.13.68.

Address: 0.0.13.68
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.13.68

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

Musical pitch

Heard as a frequency, 3,396 Hz is closest to:

Concert pitch (A4 = 440 Hz): G♯7 (3322.4 Hz, +38¢)
Scientific pitch (C4 = 256 Hz): A7 (3444.3 Hz, -24¢)
Baroque pitch (A4 = 415 Hz): A7 (3320 Hz, +39¢)

Position in π

The digit sequence 3396 first appears in π at position 30,127 of the decimal expansion (the 30,127ordinal-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 3396 on Pi Search ↗