Live analysis

5,520

5,520 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.).

5,520 (five thousand five hundred twenty) is an even 4-digit number. It is a composite number with 40 divisors, and factors as 2⁴ × 3 × 5 × 23. Its proper divisors sum to 12,336, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1590.

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

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

5,508 5,509 5,510 5,511 5,512 5,513 5,514 5,515 5,516 5,517 5,518 5,519 5,520 5,521 5,522 5,523 5,524 5,525 5,526 5,527 5,528 5,529 5,530 5,531 5,532

less more

Properties

Parity: Even
Digit count: 4
Digit sum: 12
Digit product: 0
Digital root: 3
Palindrome: No
Bit width: 13 bits
Reversed: 255
Recamán's sequence: a(2,784) = 5,520
Square (n²): 30,470,400
Cube (n³): 168,196,608,000
Divisor count: 40
σ(n) — sum of divisors: 17,856
φ(n) — Euler's totient: 1,408
Sum of prime factors: 39

Primality

Prime factorization: 2 ⁴ × 3 × 5 × 23

Nearest primes: 5,519 (−1) · 5,521 (+1)

Divisors & multiples

All divisors (40)

1 · 2 · 3 · 4 · 5 · 6 · 8 · 10 · 12 · 15 · 16 · 20 · 23 · 24 · 30 · 40 · 46 · 48 · 60 · 69 · 80 · 92 · 115 · 120 · 138 · 184 · 230 · 240 · 276 · 345 · 368 · 460 · 552 · 690 · 920 · 1104 · 1380 · 1840 · 2760 (half) · 5520

Aliquot sum (sum of proper divisors): 12,336

Factor pairs (a × b = 5,520)

1 × 5520

2 × 2760

3 × 1840

4 × 1380

5 × 1104

6 × 920

8 × 690

10 × 552

12 × 460

15 × 368

16 × 345

20 × 276

23 × 240

24 × 230

30 × 184

40 × 138

46 × 120

48 × 115

60 × 92

69 × 80

First multiples

5,520 · 11,040 (double) · 16,560 · 22,080 · 27,600 · 33,120 · 38,640 · 44,160 · 49,680 · 55,200

Sums & aliquot sequence

As consecutive integers: 1,839 + 1,840 + 1,841 1,102 + 1,103 + 1,104 + 1,105 + 1,106 361 + 362 + … + 375 229 + 230 + … + 251

Aliquot sequence: 5,520 → 12,336 → 19,656 → 47,544 → 88,776 → 161,694 → 216,138 → 279,798 → 279,810 → 447,930 → 945,990 → 1,626,138 → 1,957,338 → 2,465,382 → 2,493,258 → 2,493,270 → 4,491,162 — unresolved within range

Continued fraction of √n

√5,520 = [74; (3, 2, 1, 2, 3, 148)]

Period length 6 — the block in parentheses repeats forever.

Representations

In words: five thousand five hundred twenty
Ordinal: 5520th
Binary: 1010110010000
Octal: 12620
Hexadecimal: 0x1590
Base64: FZA=
One's complement: 60,015 (16-bit)
Scientific notation: 5.52 × 10³
As a duration: 5,520 s = 1 hour, 32 minutes

In other bases

ternary (3) 21120110

quaternary (4) 1112100

quinary (5) 134040

senary (6) 41320

septenary (7) 22044

nonary (9) 7513

undecimal (11) 4169

duodecimal (12) 3240

tridecimal (13) 2688

tetradecimal (14) 2024

pentadecimal (15) 1980

As an angle

5,520° = 15 × 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 𒌋𒌋𒌋𒁹𒁹 ·
Egyptian hieroglyphic: 𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓎆𓎆
Greek (Milesian): ͵εφκʹ
Mayan (base 20): 𝋭·𝋰·𝋠
Chinese: 五千五百二十
Chinese (financial): 伍仟伍佰貳拾

In other modern scripts

Eastern Arabic ٥٥٢٠ Devanagari ५५२० Bengali ৫৫২০ Tamil ௫௫௨௦ Thai ๕๕๒๐ Tibetan ༥༥༢༠ Khmer ៥៥២០ Lao ໕໕໒໐ Burmese ၅၅၂၀

Digit at this position in famous constants

π — Pi (π): Digit 5,520 = 3
e — Euler's number (e): Digit 5,520 = 9
φ — Golden ratio (φ): Digit 5,520 = 2
√2 — Pythagoras's (√2): Digit 5,520 = 3
ln 2 — Natural log of 2: Digit 5,520 = 7
γ — Euler-Mascheroni (γ): Digit 5,520 = 7

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 5520, here are decompositions:

13 + 5507 = 5520
17 + 5503 = 5520
19 + 5501 = 5520
37 + 5483 = 5520
41 + 5479 = 5520
43 + 5477 = 5520
71 + 5449 = 5520
79 + 5441 = 5520

Showing the first eight; more decompositions exist.

Unicode codepoint

ᖐ

Canadian Syllabics Ngii

U+1590

Other letter (Lo)

UTF-8 encoding: E1 96 90 (3 bytes).

Lookup U+1590 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#001590

RGB(0, 21, 144)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.21.144.

Address: 0.0.21.144
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.21.144

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

Musical pitch

Heard as a frequency, 5,520 Hz is closest to:

Concert pitch (A4 = 440 Hz): F8 (5587.7 Hz, -21¢)
Scientific pitch (C4 = 256 Hz): F8 (5467.5 Hz, +17¢)
Baroque pitch (A4 = 415 Hz): F♯8 (5583.6 Hz, -20¢)

Position in π

The digit sequence 5520 first appears in π at position 21,247 of the decimal expansion (the 21,247ordinal-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 5520 on Pi Search ↗