Live analysis

4,440

4,440 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.).

4,440 (four thousand four hundred forty) is an even 4-digit number. It is a composite number with 32 divisors, and factors as 2³ × 3 × 5 × 37. Its proper divisors sum to 9,240, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1158.

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

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

4,428 4,429 4,430 4,431 4,432 4,433 4,434 4,435 4,436 4,437 4,438 4,439 4,440 4,441 4,442 4,443 4,444 4,445 4,446 4,447 4,448 4,449 4,450 4,451 4,452

less more

Properties

Parity: Even
Digit count: 4
Digit sum: 12
Digit product: 0
Digital root: 3
Palindrome: No
Bit width: 13 bits
Reversed: 444
Recamán's sequence: a(5,860) = 4,440
Square (n²): 19,713,600
Cube (n³): 87,528,384,000
Divisor count: 32
σ(n) — sum of divisors: 13,680
φ(n) — Euler's totient: 1,152
Sum of prime factors: 51

Primality

Prime factorization: 2 ³ × 3 × 5 × 37

Nearest primes: 4,423 (−17) · 4,441 (+1)

Divisors & multiples

All divisors (32)

1 · 2 · 3 · 4 · 5 · 6 · 8 · 10 · 12 · 15 · 20 · 24 · 30 · 37 · 40 · 60 · 74 · 111 · 120 · 148 · 185 · 222 · 296 · 370 · 444 · 555 · 740 · 888 · 1110 · 1480 · 2220 (half) · 4440

Aliquot sum (sum of proper divisors): 9,240

Factor pairs (a × b = 4,440)

1 × 4440

2 × 2220

3 × 1480

4 × 1110

5 × 888

6 × 740

8 × 555

10 × 444

12 × 370

15 × 296

20 × 222

24 × 185

30 × 148

37 × 120

40 × 111

60 × 74

First multiples

4,440 · 8,880 (double) · 13,320 · 17,760 · 22,200 · 26,640 · 31,080 · 35,520 · 39,960 · 44,400

Sums & aliquot sequence

As consecutive integers: 1,479 + 1,480 + 1,481 886 + 887 + 888 + 889 + 890 289 + 290 + … + 303 270 + 271 + … + 285

Aliquot sequence: 4,440 → 9,240 → 25,320 → 51,000 → 117,480 → 271,320 → 765,480 → 1,531,320 → 3,721,800 → 7,817,640 → 15,635,640 → 32,899,560 → 65,799,480 → 139,098,120 → 349,027,320 → 699,333,000 → 1,597,611,000 — unresolved within range

Continued fraction of √n

√4,440 = [66; (1, 1, 1, 2, 1, 1, 1, 132)]

Period length 8 — the block in parentheses repeats forever.

Representations

In words: four thousand four hundred forty
Ordinal: 4440th
Binary: 1000101011000
Octal: 10530
Hexadecimal: 0x1158
Base64: EVg=
One's complement: 61,095 (16-bit)
Scientific notation: 4.44 × 10³
As a duration: 4,440 s = 1 hour, 14 minutes

In other bases

ternary (3) 20002110

quaternary (4) 1011120

quinary (5) 120230

senary (6) 32320

septenary (7) 15642

nonary (9) 6073

undecimal (11) 3377

duodecimal (12) 26a0

tridecimal (13) 2037

tetradecimal (14) 1892

pentadecimal (15) 14b0

As an angle

4,440° = 12 × 360° + 120°

120° ≈ 2.094 rad

Compass bearing: ESE (east-southeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹 𒌋𒁹𒁹𒁹𒁹 ·
Egyptian hieroglyphic: 𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆
Greek (Milesian): ͵δυμʹ
Mayan (base 20): 𝋫·𝋢·𝋠
Chinese: 四千四百四十
Chinese (financial): 肆仟肆佰肆拾

In other modern scripts

Eastern Arabic ٤٤٤٠ Devanagari ४४४० Bengali ৪৪৪০ Tamil ௪௪௪௦ Thai ๔๔๔๐ Tibetan ༤༤༤༠ Khmer ៤៤៤០ Lao ໔໔໔໐ Burmese ၄၄၄၀

Digit at this position in famous constants

π — Pi (π): Digit 4,440 = 5
e — Euler's number (e): Digit 4,440 = 8
φ — Golden ratio (φ): Digit 4,440 = 0
√2 — Pythagoras's (√2): Digit 4,440 = 2
ln 2 — Natural log of 2: Digit 4,440 = 8
γ — Euler-Mascheroni (γ): Digit 4,440 = 4

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 4440, here are decompositions:

17 + 4423 = 4440
19 + 4421 = 4440
31 + 4409 = 4440
43 + 4397 = 4440
67 + 4373 = 4440
83 + 4357 = 4440
101 + 4339 = 4440
103 + 4337 = 4440

Showing the first eight; more decompositions exist.

Unicode codepoint

ᅘ

Hangul Choseong Ssanghieuh

U+1158

Other letter (Lo)

UTF-8 encoding: E1 85 98 (3 bytes).

Lookup U+1158 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#001158

RGB(0, 17, 88)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.17.88.

Address: 0.0.17.88
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.17.88

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

Musical pitch

Heard as a frequency, 4,440 Hz is closest to:

Concert pitch (A4 = 440 Hz): C♯8 (4434.9 Hz, +2¢)
Scientific pitch (C4 = 256 Hz): C♯8 (4339.6 Hz, +40¢)
Baroque pitch (A4 = 415 Hz): D8 (4431.7 Hz, +3¢)

Position in π

The digit sequence 4440 first appears in π at position 2,928 of the decimal expansion (the 2,928ordinal-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 4440 on Pi Search ↗