Live analysis

3,328

3,328 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.).

3,328 (three thousand three hundred twenty-eight) is an even 4-digit number. It is a composite number with 18 divisors, and factors as 2⁸ × 13. Its proper divisors sum to 3,826, more than the number itself, making it an abundant number. Written other ways, in Roman numerals it is MMMCCCXXVIII and in binary, 110100000000.

Abundant Number Happy Number Harshad / Niven Odious Number Pernicious Number Practical Number Recamán's Sequence Semiperfect Number

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

3,316 3,317 3,318 3,319 3,320 3,321 3,322 3,323 3,324 3,325 3,326 3,327 3,328 3,329 3,330 3,331 3,332 3,333 3,334 3,335 3,336 3,337 3,338 3,339 3,340

less more

Properties

Parity: Even
Digit count: 4
Digit sum: 16
Digit product: 144
Digital root: 7
Palindrome: No
Bit width: 12 bits
Reversed: 8,233
Recamán's sequence: a(6,692) = 3,328
Square (n²): 11,075,584
Cube (n³): 36,859,543,552
Divisor count: 18
σ(n) — sum of divisors: 7,154
φ(n) — Euler's totient: 1,536
Sum of prime factors: 29

Primality

Prime factorization: 2 ⁸ × 13

Nearest primes: 3,323 (−5) · 3,329 (+1)

Divisors & multiples

All divisors (18)

1 · 2 · 4 · 8 · 13 · 16 · 26 · 32 · 52 · 64 · 104 · 128 · 208 · 256 · 416 · 832 · 1664 (half) · 3328

Aliquot sum (sum of proper divisors): 3,826

Factor pairs (a × b = 3,328)

1 × 3328

2 × 1664

4 × 832

8 × 416

13 × 256

16 × 208

26 × 128

32 × 104

52 × 64

First multiples

3,328 · 6,656 (double) · 9,984 · 13,312 · 16,640 · 19,968 · 23,296 · 26,624 · 29,952 · 33,280

Sums & aliquot sequence

As a sum of two squares: 32² + 48²

As consecutive integers: 250 + 251 + … + 262

Aliquot sequence: 3,328 → 3,826 → 1,916 → 1,444 → 1,223 → 1 → 0 — terminates at zero

Continued fraction of √n

√3,328 = [57; (1, 2, 4, 1, 2, 6, 1, 5, 1, 11, 1, 27, 1, 11, 1, 5, 1, 6, 2, 1, 4, 2, 1, 114)]

Period length 24 — the block in parentheses repeats forever.

Representations

In words: three thousand three hundred twenty-eight
Ordinal: 3328th
Roman numeral: MMMCCCXXVIII
Binary: 110100000000
Octal: 6400
Hexadecimal: 0xD00
Base64: DQA=
One's complement: 62,207 (16-bit)
Scientific notation: 3.328 × 10³
As a duration: 3,328 s = 55 minutes, 28 seconds

In other bases

ternary (3) 11120021

quaternary (4) 310000

quinary (5) 101303

senary (6) 23224

septenary (7) 12463

nonary (9) 4507

undecimal (11) 2556

duodecimal (12) 1b14

tridecimal (13) 1690

tetradecimal (14) 12da

pentadecimal (15) ebd

As an angle

3,328° = 9 × 360° + 88°

88° ≈ 1.536 rad

Compass bearing: E (east)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian): ͵γτκηʹ
Mayan (base 20): 𝋨·𝋦·𝋨
Chinese: 三千三百二十八
Chinese (financial): 參仟參佰貳拾捌

In other modern scripts

Eastern Arabic ٣٣٢٨ Devanagari ३३२८ Bengali ৩৩২৮ Tamil ௩௩௨௮ Thai ๓๓๒๘ Tibetan ༣༣༢༨ Khmer ៣៣២៨ Lao ໓໓໒໘ Burmese ၃၃၂၈

Digit at this position in famous constants

π — Pi (π): Digit 3,328 = 7
e — Euler's number (e): Digit 3,328 = 4
φ — Golden ratio (φ): Digit 3,328 = 6
√2 — Pythagoras's (√2): Digit 3,328 = 7
ln 2 — Natural log of 2: Digit 3,328 = 2
γ — Euler-Mascheroni (γ): Digit 3,328 = 3

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 3328, here are decompositions:

5 + 3323 = 3328
29 + 3299 = 3328
71 + 3257 = 3328
107 + 3221 = 3328
137 + 3191 = 3328
191 + 3137 = 3328
239 + 3089 = 3328
317 + 3011 = 3328

Showing the first eight; more decompositions exist.

Unicode codepoint

ഀ

Malayalam Sign Combining Anusvara Above

U+0D00

Non-spacing mark (Mn)

UTF-8 encoding: E0 B4 80 (3 bytes).

Lookup U+0D00 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#000D00

RGB(0, 13, 0)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.13.0.

Address: 0.0.13.0
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.13.0

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

Musical pitch

Heard as a frequency, 3,328 Hz is closest to:

Concert pitch (A4 = 440 Hz): G♯7 (3322.4 Hz, +3¢)
Scientific pitch (C4 = 256 Hz): G♯7 (3251 Hz, +41¢)
Baroque pitch (A4 = 415 Hz): A7 (3320 Hz, +4¢)

Position in π

The digit sequence 3328 first appears in π at position 10,524 of the decimal expansion (the 10,524ordinal-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 3328 on Pi Search ↗