Live analysis

9,480

9,480 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.).

9,480 (nine thousand four hundred eighty) is an even 4-digit number. It is a composite number with 32 divisors, and factors as 2³ × 3 × 5 × 79. Its proper divisors sum to 19,320, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x2508.

Abundant Number Arithmetic Number Evil Number Practical Number Recamán's Sequence Semiperfect Number

Interestingness

★ ★ ☆ ☆ ☆

4 notable facts · grade D

9,468 9,469 9,470 9,471 9,472 9,473 9,474 9,475 9,476 9,477 9,478 9,479 9,480 9,481 9,482 9,483 9,484 9,485 9,486 9,487 9,488 9,489 9,490 9,491 9,492

less more

Properties

Parity: Even
Digit count: 4
Digit sum: 21
Digit product: 0
Digital root: 3
Palindrome: No
Bit width: 14 bits
Reversed: 849
Recamán's sequence: a(8,979) = 9,480
Square (n²): 89,870,400
Cube (n³): 851,971,392,000
Divisor count: 32
σ(n) — sum of divisors: 28,800
φ(n) — Euler's totient: 2,496
Sum of prime factors: 93

Primality

Prime factorization: 2 ³ × 3 × 5 × 79

Nearest primes: 9,479 (−1) · 9,491 (+11)

Divisors & multiples

All divisors (32)

1 · 2 · 3 · 4 · 5 · 6 · 8 · 10 · 12 · 15 · 20 · 24 · 30 · 40 · 60 · 79 · 120 · 158 · 237 · 316 · 395 · 474 · 632 · 790 · 948 · 1185 · 1580 · 1896 · 2370 · 3160 · 4740 (half) · 9480

Aliquot sum (sum of proper divisors): 19,320

Factor pairs (a × b = 9,480)

1 × 9480

2 × 4740

3 × 3160

4 × 2370

5 × 1896

6 × 1580

8 × 1185

10 × 948

12 × 790

15 × 632

20 × 474

24 × 395

30 × 316

40 × 237

60 × 158

79 × 120

First multiples

9,480 · 18,960 (double) · 28,440 · 37,920 · 47,400 · 56,880 · 66,360 · 75,840 · 85,320 · 94,800

Sums & aliquot sequence

As consecutive integers: 3,159 + 3,160 + 3,161 1,894 + 1,895 + 1,896 + 1,897 + 1,898 625 + 626 + … + 639 585 + 586 + … + 600

Aliquot sequence: 9,480 → 19,320 → 49,800 → 106,440 → 213,240 → 426,840 → 854,040 → 1,945,320 → 4,707,480 → 9,415,320 → 19,753,320 → 45,876,120 → 93,664,200 → 250,063,800 → 635,891,400 → 1,506,867,660 → 3,063,964,788 — unresolved within range

Continued fraction of √n

√9,480 = [97; (2, 1, 2, 1, 4, 3, 1, 3, 4, 1, 2, 1, 2, 194)]

Period length 14 — the block in parentheses repeats forever.

Representations

In words: nine thousand four hundred eighty
Ordinal: 9480th
Binary: 10010100001000
Octal: 22410
Hexadecimal: 0x2508
Base64: JQg=
One's complement: 56,055 (16-bit)
Scientific notation: 9.48 × 10³
As a duration: 9,480 s = 2 hours, 38 minutes

In other bases

ternary (3) 111000010

quaternary (4) 2110020

quinary (5) 300410

senary (6) 111520

septenary (7) 36432

nonary (9) 14003

undecimal (11) 7139

duodecimal (12) 55a0

tridecimal (13) 4413

tetradecimal (14) 3652

pentadecimal (15) 2c20

As an angle

9,480° = 26 × 360° + 120°

120° ≈ 2.094 rad

Compass bearing: ESE (east-southeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 ·
Egyptian hieroglyphic: 𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆
Greek (Milesian): ͵θυπʹ
Mayan (base 20): 𝋡·𝋣·𝋮·𝋠
Chinese: 九千四百八十
Chinese (financial): 玖仟肆佰捌拾

In other modern scripts

Eastern Arabic ٩٤٨٠ Devanagari ९४८० Bengali ৯৪৮০ Tamil ௯௪௮௦ Thai ๙๔๘๐ Tibetan ༩༤༨༠ Khmer ៩៤៨០ Lao ໙໔໘໐ Burmese ၉၄၈၀

Digit at this position in famous constants

π — Pi (π): Digit 9,480 = 2
e — Euler's number (e): Digit 9,480 = 4
φ — Golden ratio (φ): Digit 9,480 = 2
√2 — Pythagoras's (√2): Digit 9,480 = 7
ln 2 — Natural log of 2: Digit 9,480 = 2
γ — Euler-Mascheroni (γ): Digit 9,480 = 9

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 9480, here are decompositions:

7 + 9473 = 9480
13 + 9467 = 9480
17 + 9463 = 9480
19 + 9461 = 9480
41 + 9439 = 9480
43 + 9437 = 9480
47 + 9433 = 9480
59 + 9421 = 9480

Showing the first eight; more decompositions exist.

Unicode codepoint

┈

Box Drawings Light Quadruple Dash Horizontal

U+2508

Other symbol (So)

UTF-8 encoding: E2 94 88 (3 bytes).

Lookup U+2508 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#002508

RGB(0, 37, 8)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.37.8.

Address: 0.0.37.8
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.37.8

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

Musical pitch

Heard as a frequency, 9,480 Hz is closest to:

Concert pitch (A4 = 440 Hz): D9 (9397.3 Hz, +15¢)
Scientific pitch (C4 = 256 Hz): D♯9 (9742 Hz, -47¢ — about midway to D9)
Baroque pitch (A4 = 415 Hz): D♯9 (9390.4 Hz, +16¢)

Position in π

The digit sequence 9480 first appears in π at position 8,231 of the decimal expansion (the 8,231ordinal-suffix:st 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 9480 on Pi Search ↗