Live analysis

4,400

4,400 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.).

4,400 (four thousand four hundred) is an even 4-digit number. It is a composite number with 30 divisors, and factors as 2⁴ × 5² × 11. Its proper divisors sum to 7,132, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1130.

Abundant Number Evil Number Gapful Number Happy Number Harshad / Niven Practical Number Recamán's Sequence Semiperfect Number

Interestingness

★ ★ ★ ★ ☆

6 notable facts · grade B

4,388 4,389 4,390 4,391 4,392 4,393 4,394 4,395 4,396 4,397 4,398 4,399 4,400 4,401 4,402 4,403 4,404 4,405 4,406 4,407 4,408 4,409 4,410 4,411 4,412

less more

Properties

Parity: Even
Digit count: 4
Digit sum: 8
Digit product: 0
Digital root: 8
Palindrome: No
Bit width: 13 bits
Reversed: 44
Recamán's sequence: a(13,907) = 4,400
Square (n²): 19,360,000
Cube (n³): 85,184,000,000
Divisor count: 30
σ(n) — sum of divisors: 11,532
φ(n) — Euler's totient: 1,600
Sum of prime factors: 29

Primality

Prime factorization: 2 ⁴ × 5 ² × 11

Nearest primes: 4,397 (−3) · 4,409 (+9)

Divisors & multiples

All divisors (30)

1 · 2 · 4 · 5 · 8 · 10 · 11 · 16 · 20 · 22 · 25 · 40 · 44 · 50 · 55 · 80 · 88 · 100 · 110 · 176 · 200 · 220 · 275 · 400 · 440 · 550 · 880 · 1100 · 2200 (half) · 4400

Aliquot sum (sum of proper divisors): 7,132

Factor pairs (a × b = 4,400)

1 × 4400

2 × 2200

4 × 1100

5 × 880

8 × 550

10 × 440

11 × 400

16 × 275

20 × 220

22 × 200

25 × 176

40 × 110

44 × 100

50 × 88

55 × 80

First multiples

4,400 · 8,800 (double) · 13,200 · 17,600 · 22,000 · 26,400 · 30,800 · 35,200 · 39,600 · 44,000

Sums & aliquot sequence

As consecutive integers: 878 + 879 + 880 + 881 + 882 395 + 396 + … + 405 164 + 165 + … + 188 122 + 123 + … + 153

Aliquot sequence: 4,400 → 7,132 → 5,356 → 4,836 → 7,708 → 6,404 → 4,810 → 4,766 → 2,386 → 1,196 → 1,156 → 993 → 335 → 73 → 1 → 0 — terminates at zero

Continued fraction of √n

√4,400 = [66; (3, 132)]

Period length 2 — the block in parentheses repeats forever.

Representations

In words: four thousand four hundred
Ordinal: 4400th
Binary: 1000100110000
Octal: 10460
Hexadecimal: 0x1130
Base64: ETA=
One's complement: 61,135 (16-bit)
Scientific notation: 4.4 × 10³
As a duration: 4,400 s = 1 hour, 13 minutes, 20 seconds

In other bases

ternary (3) 20000222

quaternary (4) 1010300

quinary (5) 120100

senary (6) 32212

septenary (7) 15554

nonary (9) 6028

undecimal (11) 3340

duodecimal (12) 2668

tridecimal (13) 2006

tetradecimal (14) 1864

pentadecimal (15) 1485

As an angle

4,400° = 12 × 360° + 80°

80° ≈ 1.396 rad

Compass bearing: E (east)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹 𒌋𒁹𒁹𒁹 𒌋𒌋
Egyptian hieroglyphic: 𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢
Greek (Milesian): ͵δυʹ
Mayan (base 20): 𝋫·𝋠·𝋠
Chinese: 四千四百
Chinese (financial): 肆仟肆佰

In other modern scripts

Eastern Arabic ٤٤٠٠ Devanagari ४४०० Bengali ৪৪০০ Tamil ௪௪௦௦ Thai ๔๔๐๐ Tibetan ༤༤༠༠ Khmer ៤៤០០ Lao ໔໔໐໐ Burmese ၄၄၀၀

Digit at this position in famous constants

π — Pi (π): Digit 4,400 = 2
e — Euler's number (e): Digit 4,400 = 8
φ — Golden ratio (φ): Digit 4,400 = 5
√2 — Pythagoras's (√2): Digit 4,400 = 5
ln 2 — Natural log of 2: Digit 4,400 = 0
γ — Euler-Mascheroni (γ): Digit 4,400 = 2

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 4400, here are decompositions:

3 + 4397 = 4400
37 + 4363 = 4400
43 + 4357 = 4400
61 + 4339 = 4400
73 + 4327 = 4400
103 + 4297 = 4400
127 + 4273 = 4400
139 + 4261 = 4400

Showing the first eight; more decompositions exist.

Unicode codepoint

ᄰ

Hangul Choseong Sios-Rieul

U+1130

Other letter (Lo)

UTF-8 encoding: E1 84 B0 (3 bytes).

Lookup U+1130 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#001130

RGB(0, 17, 48)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.17.48.

Address: 0.0.17.48
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.17.48

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

Musical pitch

Heard as a frequency, 4,400 Hz is closest to:

Concert pitch (A4 = 440 Hz): C♯8 (4434.9 Hz, -14¢)
Scientific pitch (C4 = 256 Hz): C♯8 (4339.6 Hz, +24¢)
Baroque pitch (A4 = 415 Hz): D8 (4431.7 Hz, -12¢)

Position in π

The digit sequence 4400 first appears in π at position 6,347 of the decimal expansion (the 6,347ordinal-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 4400 on Pi Search ↗