Live analysis

5,020

5,020 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.).

5,020 (five thousand twenty) is an even 4-digit number. It is a composite number with 12 divisors, and factors as 2² × 5 × 251. Its proper divisors sum to 5,564, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x139C.

Abundant Number Amicable Number Arithmetic Number Cube-Free Odious Number Pernicious Number Recamán's Sequence Semiperfect Number

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

5,008 5,009 5,010 5,011 5,012 5,013 5,014 5,015 5,016 5,017 5,018 5,019 5,020 5,021 5,022 5,023 5,024 5,025 5,026 5,027 5,028 5,029 5,030 5,031 5,032

less more

Properties

Parity: Even
Digit count: 4
Digit sum: 7
Digit product: 0
Digital root: 7
Palindrome: No
Bit width: 13 bits
Reversed: 205
Recamán's sequence: a(54,219) = 5,020
Square (n²): 25,200,400
Cube (n³): 126,506,008,000
Divisor count: 12
σ(n) — sum of divisors: 10,584
φ(n) — Euler's totient: 2,000
Sum of prime factors: 260

Primality

Prime factorization: 2 ² × 5 × 251

Nearest primes: 5,011 (−9) · 5,021 (+1)

Divisors & multiples

All divisors (12)

1 · 2 · 4 · 5 · 10 · 20 · 251 · 502 · 1004 · 1255 · 2510 (half) · 5020

Aliquot sum (sum of proper divisors): 5,564

Factor pairs (a × b = 5,020)

1 × 5020

2 × 2510

4 × 1255

5 × 1004

10 × 502

20 × 251

First multiples

5,020 · 10,040 (double) · 15,060 · 20,080 · 25,100 · 30,120 · 35,140 · 40,160 · 45,180 · 50,200

Sums & aliquot sequence

As consecutive integers: 1,002 + 1,003 + 1,004 + 1,005 + 1,006 624 + 625 + … + 631 106 + 107 + … + 145

Aliquot sequence: 5,020 → 5,564 → 5,020 — enters a cycle

Continued fraction of √n

√5,020 = [70; (1, 5, 1, 3, 12, 1, 1, 1, 1, 1, 6, 1, 5, 28, 5, 1, 6, 1, 1, 1, 1, 1, 12, 3, …)]

Period length 28 — the block in parentheses repeats forever.

Representations

In words: five thousand twenty
Ordinal: 5020th
Binary: 1001110011100
Octal: 11634
Hexadecimal: 0x139C
Base64: E5w=
One's complement: 60,515 (16-bit)
Scientific notation: 5.02 × 10³
As a duration: 5,020 s = 1 hour, 23 minutes, 40 seconds

In other bases

ternary (3) 20212221

quaternary (4) 1032130

quinary (5) 130040

senary (6) 35124

septenary (7) 20431

nonary (9) 6787

undecimal (11) 3854

duodecimal (12) 2aa4

tridecimal (13) 2392

tetradecimal (14) 1b88

pentadecimal (15) 174a

As an angle

5,020° = 13 × 360° + 340°

340° ≈ 5.934 rad

Compass bearing: NNW (north-northwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹 𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒌋
Egyptian hieroglyphic: 𓆼𓆼𓆼𓆼𓆼𓎆𓎆
Greek (Milesian): ͵εκʹ
Mayan (base 20): 𝋬·𝋫·𝋠
Chinese: 五千零二十
Chinese (financial): 伍仟零貳拾

In other modern scripts

Eastern Arabic ٥٠٢٠ Devanagari ५०२० Bengali ৫০২০ Tamil ௫௦௨௦ Thai ๕๐๒๐ Tibetan ༥༠༢༠ Khmer ៥០២០ Lao ໕໐໒໐ Burmese ၅၀၂၀

Digit at this position in famous constants

π — Pi (π): Digit 5,020 = 2
e — Euler's number (e): Digit 5,020 = 2
φ — Golden ratio (φ): Digit 5,020 = 1
√2 — Pythagoras's (√2): Digit 5,020 = 8
ln 2 — Natural log of 2: Digit 5,020 = 0
γ — Euler-Mascheroni (γ): Digit 5,020 = 5

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 5020, here are decompositions:

11 + 5009 = 5020
17 + 5003 = 5020
47 + 4973 = 5020
53 + 4967 = 5020
83 + 4937 = 5020
89 + 4931 = 5020
101 + 4919 = 5020
131 + 4889 = 5020

Showing the first eight; more decompositions exist.

Hex color

#00139C

RGB(0, 19, 156)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.19.156.

Address: 0.0.19.156
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.19.156

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

Musical pitch

Heard as a frequency, 5,020 Hz is closest to:

Concert pitch (A4 = 440 Hz): D♯8 (4978 Hz, +15¢)
Scientific pitch (C4 = 256 Hz): E8 (5160.6 Hz, -48¢ — about midway to D♯8)
Baroque pitch (A4 = 415 Hz): E8 (4974.4 Hz, +16¢)

Position in π

The digit sequence 5020 first appears in π at position 9,801 of the decimal expansion (the 9,801ordinal-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 5020 on Pi Search ↗