Live analysis

5,920

5,920 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.).

5,920 (five thousand nine hundred twenty) is an even 4-digit number. It is a composite number with 24 divisors, and factors as 2⁵ × 5 × 37. Its proper divisors sum to 8,444, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1720.

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

Interestingness

★ ★ ☆ ☆ ☆

4 notable facts · grade D

5,908 5,909 5,910 5,911 5,912 5,913 5,914 5,915 5,916 5,917 5,918 5,919 5,920 5,921 5,922 5,923 5,924 5,925 5,926 5,927 5,928 5,929 5,930 5,931 5,932

less more

Properties

Parity: Even
Digit count: 4
Digit sum: 16
Digit product: 0
Digital root: 7
Palindrome: No
Bit width: 13 bits
Reversed: 295
Recamán's sequence: a(12,923) = 5,920
Square (n²): 35,046,400
Cube (n³): 207,474,688,000
Divisor count: 24
σ(n) — sum of divisors: 14,364
φ(n) — Euler's totient: 2,304
Sum of prime factors: 52

Primality

Prime factorization: 2 ⁵ × 5 × 37

Nearest primes: 5,903 (−17) · 5,923 (+3)

Divisors & multiples

All divisors (24)

1 · 2 · 4 · 5 · 8 · 10 · 16 · 20 · 32 · 37 · 40 · 74 · 80 · 148 · 160 · 185 · 296 · 370 · 592 · 740 · 1184 · 1480 · 2960 (half) · 5920

Aliquot sum (sum of proper divisors): 8,444

Factor pairs (a × b = 5,920)

1 × 5920

2 × 2960

4 × 1480

5 × 1184

8 × 740

10 × 592

16 × 370

20 × 296

32 × 185

37 × 160

40 × 148

74 × 80

First multiples

5,920 · 11,840 (double) · 17,760 · 23,680 · 29,600 · 35,520 · 41,440 · 47,360 · 53,280 · 59,200

Sums & aliquot sequence

As a sum of two squares: 12² + 76² = 36² + 68²

As consecutive integers: 1,182 + 1,183 + 1,184 + 1,185 + 1,186 142 + 143 + … + 178 61 + 62 + … + 124

Aliquot sequence: 5,920 → 8,444 → 6,340 → 7,016 → 6,154 → 3,674 → 2,374 → 1,190 → 1,402 → 704 → 820 → 944 → 916 → 694 → 350 → 394 → 200 — unresolved within range

Continued fraction of √n

√5,920 = [76; (1, 16, 9, 1, 1, 3, 1, 2, 1, 37, 1, 2, 1, 3, 1, 1, 9, 16, 1, 152)]

Period length 20 — the block in parentheses repeats forever.

Representations

In words: five thousand nine hundred twenty
Ordinal: 5920th
Binary: 1011100100000
Octal: 13440
Hexadecimal: 0x1720
Base64: FyA=
One's complement: 59,615 (16-bit)
Scientific notation: 5.92 × 10³
As a duration: 5,920 s = 1 hour, 38 minutes, 40 seconds

In other bases

ternary (3) 22010021

quaternary (4) 1130200

quinary (5) 142140

senary (6) 43224

septenary (7) 23155

nonary (9) 8107

undecimal (11) 44a2

duodecimal (12) 3514

tridecimal (13) 2905

tetradecimal (14) 222c

pentadecimal (15) 1b4a

As an angle

5,920° = 16 × 360° + 160°

160° ≈ 2.793 rad

Compass bearing: SSE (south-southeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋
Egyptian hieroglyphic: 𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆
Greek (Milesian): ͵εϡκʹ
Mayan (base 20): 𝋮·𝋰·𝋠
Chinese: 五千九百二十
Chinese (financial): 伍仟玖佰貳拾

In other modern scripts

Eastern Arabic ٥٩٢٠ Devanagari ५९२० Bengali ৫৯২০ Tamil ௫௯௨௦ Thai ๕๙๒๐ Tibetan ༥༩༢༠ Khmer ៥៩២០ Lao ໕໙໒໐ Burmese ၅၉၂၀

Digit at this position in famous constants

π — Pi (π): Digit 5,920 = 5
e — Euler's number (e): Digit 5,920 = 8
φ — Golden ratio (φ): Digit 5,920 = 3
√2 — Pythagoras's (√2): Digit 5,920 = 1
ln 2 — Natural log of 2: Digit 5,920 = 2
γ — Euler-Mascheroni (γ): Digit 5,920 = 9

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 5920, here are decompositions:

17 + 5903 = 5920
23 + 5897 = 5920
41 + 5879 = 5920
53 + 5867 = 5920
59 + 5861 = 5920
71 + 5849 = 5920
107 + 5813 = 5920
113 + 5807 = 5920

Showing the first eight; more decompositions exist.

Unicode codepoint

ᜠ

Hanunoo Letter A

U+1720

Other letter (Lo)

UTF-8 encoding: E1 9C A0 (3 bytes).

Lookup U+1720 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#001720

RGB(0, 23, 32)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.23.32.

Address: 0.0.23.32
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.23.32

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

Musical pitch

Heard as a frequency, 5,920 Hz is closest to:

Concert pitch (A4 = 440 Hz): F♯8 (5919.9 Hz, exact)
Scientific pitch (C4 = 256 Hz): F♯8 (5792.6 Hz, +38¢)
Baroque pitch (A4 = 415 Hz): G8 (5915.6 Hz, +1¢)

Position in π

The digit sequence 5920 first appears in π at position 9,978 of the decimal expansion (the 9,978ordinal-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 5920 on Pi Search ↗