Live analysis

8,480

8,480 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.).

8,480 (eight thousand four hundred eighty) is an even 4-digit number. It is a composite number with 24 divisors, and factors as 2⁵ × 5 × 53. Its proper divisors sum to 11,932, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x2120.

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

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

8,468 8,469 8,470 8,471 8,472 8,473 8,474 8,475 8,476 8,477 8,478 8,479 8,480 8,481 8,482 8,483 8,484 8,485 8,486 8,487 8,488 8,489 8,490 8,491 8,492

less more

Properties

Parity: Even
Digit count: 4
Digit sum: 20
Digit product: 0
Digital root: 2
Palindrome: No
Bit width: 14 bits
Reversed: 848
Recamán's sequence: a(51,883) = 8,480
Square (n²): 71,910,400
Cube (n³): 609,800,192,000
Divisor count: 24
σ(n) — sum of divisors: 20,412
φ(n) — Euler's totient: 3,328
Sum of prime factors: 68

Primality

Prime factorization: 2 ⁵ × 5 × 53

Nearest primes: 8,467 (−13) · 8,501 (+21)

Divisors & multiples

All divisors (24)

1 · 2 · 4 · 5 · 8 · 10 · 16 · 20 · 32 · 40 · 53 · 80 · 106 · 160 · 212 · 265 · 424 · 530 · 848 · 1060 · 1696 · 2120 · 4240 (half) · 8480

Aliquot sum (sum of proper divisors): 11,932

Factor pairs (a × b = 8,480)

1 × 8480

2 × 4240

4 × 2120

5 × 1696

8 × 1060

10 × 848

16 × 530

20 × 424

32 × 265

40 × 212

53 × 160

80 × 106

First multiples

8,480 · 16,960 (double) · 25,440 · 33,920 · 42,400 · 50,880 · 59,360 · 67,840 · 76,320 · 84,800

Sums & aliquot sequence

As a sum of two squares: 4² + 92² = 52² + 76²

As consecutive integers: 1,694 + 1,695 + 1,696 + 1,697 + 1,698 134 + 135 + … + 186 101 + 102 + … + 164

Aliquot sequence: 8,480 → 11,932 → 10,188 → 15,656 → 15,544 → 15,056 → 14,146 → 9,038 → 4,522 → 4,118 → 2,362 → 1,184 → 1,210 → 1,184 — enters a cycle

Continued fraction of √n

√8,480 = [92; (11, 1, 1, 45, 1, 1, 11, 184)]

Period length 8 — the block in parentheses repeats forever.

Representations

In words: eight thousand four hundred eighty
Ordinal: 8480th
Binary: 10000100100000
Octal: 20440
Hexadecimal: 0x2120
Base64: ISA=
One's complement: 57,055 (16-bit)
Scientific notation: 8.48 × 10³
As a duration: 8,480 s = 2 hours, 21 minutes, 20 seconds

In other bases

ternary (3) 102122002

quaternary (4) 2010200

quinary (5) 232410

senary (6) 103132

septenary (7) 33503

nonary (9) 12562

undecimal (11) 640a

duodecimal (12) 4aa8

tridecimal (13) 3b24

tetradecimal (14) 313a

pentadecimal (15) 27a5

As an angle

8,480° = 23 × 360° + 200°

200° ≈ 3.491 rad

Compass bearing: SSW (south-southwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹 𒌋𒌋𒁹 𒌋𒌋
Egyptian hieroglyphic: 𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆
Greek (Milesian): ͵ηυπʹ
Mayan (base 20): 𝋡·𝋡·𝋤·𝋠
Chinese: 八千四百八十
Chinese (financial): 捌仟肆佰捌拾

In other modern scripts

Eastern Arabic ٨٤٨٠ Devanagari ८४८० Bengali ৮৪৮০ Tamil ௮௪௮௦ Thai ๘๔๘๐ Tibetan ༨༤༨༠ Khmer ៨៤៨០ Lao ໘໔໘໐ Burmese ၈၄၈၀

Digit at this position in famous constants

π — Pi (π): Digit 8,480 = 6
e — Euler's number (e): Digit 8,480 = 2
φ — Golden ratio (φ): Digit 8,480 = 3
√2 — Pythagoras's (√2): Digit 8,480 = 8
ln 2 — Natural log of 2: Digit 8,480 = 5
γ — Euler-Mascheroni (γ): Digit 8,480 = 4

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 8480, here are decompositions:

13 + 8467 = 8480
19 + 8461 = 8480
37 + 8443 = 8480
61 + 8419 = 8480
103 + 8377 = 8480
127 + 8353 = 8480
151 + 8329 = 8480
163 + 8317 = 8480

Showing the first eight; more decompositions exist.

Unicode codepoint

℠

Service Mark

U+2120

Other symbol (So)

UTF-8 encoding: E2 84 A0 (3 bytes).

Lookup U+2120 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#002120

RGB(0, 33, 32)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.33.32.

Address: 0.0.33.32
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.33.32

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

Musical pitch

Heard as a frequency, 8,480 Hz is closest to:

Concert pitch (A4 = 440 Hz): C9 (8372 Hz, +22¢)
Scientific pitch (C4 = 256 Hz): C♯9 (8679.1 Hz, -40¢)
Baroque pitch (A4 = 415 Hz): C♯9 (8365.9 Hz, +23¢)

Position in π

The digit sequence 8480 first appears in π at position 21,755 of the decimal expansion (the 21,755ordinal-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 8480 on Pi Search ↗