Live analysis

4,180

4,180 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.).

4,180 (four thousand one hundred eighty) is an even 4-digit number. It is a composite number with 24 divisors, and factors as 2² × 5 × 11 × 19. Its proper divisors sum to 5,900, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1054.

Abundant Number Arithmetic Number Cube-Free Evil Number Practical Number Recamán's Sequence Self Number Semiperfect Number

Interestingness

★ ★ ★ ★ ☆

6 notable facts · grade B

4,168 4,169 4,170 4,171 4,172 4,173 4,174 4,175 4,176 4,177 4,178 4,179 4,180 4,181 4,182 4,183 4,184 4,185 4,186 4,187 4,188 4,189 4,190 4,191 4,192

less more

Properties

Parity: Even
Digit count: 4
Digit sum: 13
Digit product: 0
Digital root: 4
Palindrome: No
Bit width: 13 bits
Reversed: 814
Recamán's sequence: a(28,716) = 4,180
Square (n²): 17,472,400
Cube (n³): 73,034,632,000
Divisor count: 24
σ(n) — sum of divisors: 10,080
φ(n) — Euler's totient: 1,440
Sum of prime factors: 39

Primality

Prime factorization: 2 ² × 5 × 11 × 19

Nearest primes: 4,177 (−3) · 4,201 (+21)

Divisors & multiples

All divisors (24)

1 · 2 · 4 · 5 · 10 · 11 · 19 · 20 · 22 · 38 · 44 · 55 · 76 · 95 · 110 · 190 · 209 · 220 · 380 · 418 · 836 · 1045 · 2090 (half) · 4180

Aliquot sum (sum of proper divisors): 5,900

Factor pairs (a × b = 4,180)

1 × 4180

2 × 2090

4 × 1045

5 × 836

10 × 418

11 × 380

19 × 220

20 × 209

22 × 190

38 × 110

44 × 95

55 × 76

First multiples

4,180 · 8,360 (double) · 12,540 · 16,720 · 20,900 · 25,080 · 29,260 · 33,440 · 37,620 · 41,800

Sums & aliquot sequence

As consecutive integers: 834 + 835 + 836 + 837 + 838 519 + 520 + … + 526 375 + 376 + … + 385 211 + 212 + … + 229

Aliquot sequence: 4,180 → 5,900 → 7,120 → 9,620 → 12,724 → 9,550 → 8,306 → 4,156 → 3,124 → 2,924 → 2,620 → 2,924 — enters a cycle

Continued fraction of √n

√4,180 = [64; (1, 1, 1, 7, 2, 2, 2, 7, 1, 1, 1, 128)]

Period length 12 — the block in parentheses repeats forever.

Representations

In words: four thousand one hundred eighty
Ordinal: 4180th
Binary: 1000001010100
Octal: 10124
Hexadecimal: 0x1054
Base64: EFQ=
One's complement: 61,355 (16-bit)
Scientific notation: 4.18 × 10³
As a duration: 4,180 s = 1 hour, 9 minutes, 40 seconds

In other bases

ternary (3) 12201211

quaternary (4) 1001110

quinary (5) 113210

senary (6) 31204

septenary (7) 15121

nonary (9) 5654

undecimal (11) 3160

duodecimal (12) 2504

tridecimal (13) 1b97

tetradecimal (14) 1748

pentadecimal (15) 138a

As an angle

4,180° = 11 × 360° + 220°

220° ≈ 3.84 rad

Compass bearing: SW (southwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋
Egyptian hieroglyphic: 𓆼𓆼𓆼𓆼𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆
Greek (Milesian): ͵δρπʹ
Mayan (base 20): 𝋪·𝋩·𝋠
Chinese: 四千一百八十
Chinese (financial): 肆仟壹佰捌拾

In other modern scripts

Eastern Arabic ٤١٨٠ Devanagari ४१८० Bengali ৪১৮০ Tamil ௪௧௮௦ Thai ๔๑๘๐ Tibetan ༤༡༨༠ Khmer ៤១៨០ Lao ໔໑໘໐ Burmese ၄၁၈၀

Digit at this position in famous constants

π — Pi (π): Digit 4,180 = 1
e — Euler's number (e): Digit 4,180 = 8
φ — Golden ratio (φ): Digit 4,180 = 0
√2 — Pythagoras's (√2): Digit 4,180 = 5
ln 2 — Natural log of 2: Digit 4,180 = 9
γ — Euler-Mascheroni (γ): Digit 4,180 = 5

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 4180, here are decompositions:

3 + 4177 = 4180
23 + 4157 = 4180
41 + 4139 = 4180
47 + 4133 = 4180
53 + 4127 = 4180
89 + 4091 = 4180
101 + 4079 = 4180
107 + 4073 = 4180

Showing the first eight; more decompositions exist.

Unicode codepoint

ၔ

Myanmar Letter Vocalic L

U+1054

Other letter (Lo)

UTF-8 encoding: E1 81 94 (3 bytes).

Lookup U+1054 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#001054

RGB(0, 16, 84)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.16.84.

Address: 0.0.16.84
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.16.84

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

Musical pitch

Heard as a frequency, 4,180 Hz is closest to:

Concert pitch (A4 = 440 Hz): C8 (4186 Hz, -2¢)
Scientific pitch (C4 = 256 Hz): C8 (4096 Hz, +35¢)
Baroque pitch (A4 = 415 Hz): C♯8 (4182.9 Hz, -1¢)

Position in π

The digit sequence 4180 first appears in π at position 10,104 of the decimal expansion (the 10,104ordinal-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 4180 on Pi Search ↗