Live analysis

3,020

3,020 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.).

3,020 (three thousand twenty) is an even 4-digit number. It is a composite number with 12 divisors, and factors as 2² × 5 × 151. Its proper divisors sum to 3,364, more than the number itself, making it an abundant number. Written other ways, in Roman numerals it is MMMXX and in binary, 101111001100.

Abundant Number Arithmetic Number Cube-Free Happy Number Harshad / Niven Odious Number Pernicious Number Recamán's Sequence Semiperfect Number

Interestingness

★ ★ ★ ★ ☆

6 notable facts · grade B

3,008 3,009 3,010 3,011 3,012 3,013 3,014 3,015 3,016 3,017 3,018 3,019 3,020 3,021 3,022 3,023 3,024 3,025 3,026 3,027 3,028 3,029 3,030 3,031 3,032

less more

Properties

Parity: Even
Digit count: 4
Digit sum: 5
Digit product: 0
Digital root: 5
Palindrome: No
Bit width: 12 bits
Reversed: 203
Recamán's sequence: a(1,479) = 3,020
Square (n²): 9,120,400
Cube (n³): 27,543,608,000
Divisor count: 12
σ(n) — sum of divisors: 6,384
φ(n) — Euler's totient: 1,200
Sum of prime factors: 160

Primality

Prime factorization: 2 ² × 5 × 151

Nearest primes: 3,019 (−1) · 3,023 (+3)

Divisors & multiples

All divisors (12)

1 · 2 · 4 · 5 · 10 · 20 · 151 · 302 · 604 · 755 · 1510 (half) · 3020

Aliquot sum (sum of proper divisors): 3,364

Factor pairs (a × b = 3,020)

1 × 3020

2 × 1510

4 × 755

5 × 604

10 × 302

20 × 151

First multiples

3,020 · 6,040 (double) · 9,060 · 12,080 · 15,100 · 18,120 · 21,140 · 24,160 · 27,180 · 30,200

Sums & aliquot sequence

As consecutive integers: 602 + 603 + 604 + 605 + 606 374 + 375 + … + 381 56 + 57 + … + 95

Aliquot sequence: 3,020 → 3,364 → 2,733 → 915 → 573 → 195 → 141 → 51 → 21 → 11 → 1 → 0 — terminates at zero

Continued fraction of √n

√3,020 = [54; (1, 20, 1, 108)]

Period length 4 — the block in parentheses repeats forever.

Representations

In words: three thousand twenty
Ordinal: 3020th
Roman numeral: MMMXX
Binary: 101111001100
Octal: 5714
Hexadecimal: 0xBCC
Base64: C8w=
One's complement: 62,515 (16-bit)
Scientific notation: 3.02 × 10³
As a duration: 3,020 s = 50 minutes, 20 seconds

In other bases

ternary (3) 11010212

quaternary (4) 233030

quinary (5) 44040

senary (6) 21552

septenary (7) 11543

nonary (9) 4125

undecimal (11) 22a6

duodecimal (12) 18b8

tridecimal (13) 14b4

tetradecimal (14) 115a

pentadecimal (15) d65

As an angle

3,020° = 8 × 360° + 140°

140° ≈ 2.443 rad

Compass bearing: SE (southeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒌋𒌋𒌋 𒌋𒌋
Egyptian hieroglyphic: 𓆼𓆼𓆼𓎆𓎆
Greek (Milesian): ͵γκʹ
Mayan (base 20): 𝋧·𝋫·𝋠
Chinese: 三千零二十
Chinese (financial): 參仟零貳拾

In other modern scripts

Eastern Arabic ٣٠٢٠ Devanagari ३०२० Bengali ৩০২০ Tamil ௩௦௨௦ Thai ๓๐๒๐ Tibetan ༣༠༢༠ Khmer ៣០២០ Lao ໓໐໒໐ Burmese ၃၀၂၀

Digit at this position in famous constants

π — Pi (π): Digit 3,020 = 2
e — Euler's number (e): Digit 3,020 = 1
φ — Golden ratio (φ): Digit 3,020 = 3
√2 — Pythagoras's (√2): Digit 3,020 = 4
ln 2 — Natural log of 2: Digit 3,020 = 0
γ — Euler-Mascheroni (γ): Digit 3,020 = 9

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 3020, here are decompositions:

19 + 3001 = 3020
67 + 2953 = 3020
103 + 2917 = 3020
163 + 2857 = 3020
223 + 2797 = 3020
229 + 2791 = 3020
271 + 2749 = 3020
307 + 2713 = 3020

Showing the first eight; more decompositions exist.

Unicode codepoint

ௌ

Tamil Vowel Sign Au

U+0BCC

Spacing combining mark (Mc)

UTF-8 encoding: E0 AF 8C (3 bytes).

Lookup U+0BCC on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#000BCC

RGB(0, 11, 204)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.11.204.

Address: 0.0.11.204
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.11.204

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

Musical pitch

Heard as a frequency, 3,020 Hz is closest to:

Concert pitch (A4 = 440 Hz): F♯7 (2960 Hz, +35¢)
Scientific pitch (C4 = 256 Hz): G7 (3068.5 Hz, -28¢)
Baroque pitch (A4 = 415 Hz): G7 (2957.8 Hz, +36¢)

Position in π

The digit sequence 3020 first appears in π at position 3,829 of the decimal expansion (the 3,829ordinal-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 3020 on Pi Search ↗