Live analysis

84,020

84,020 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.).

84,020 (eighty-four thousand twenty) is an even 5-digit number. It is a composite number with 12 divisors, and factors as 2² × 5 × 4,201. Its proper divisors sum to 92,464, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x14834.

Abundant Number Arithmetic Number Cube-Free Evil Number Recamán's Sequence Semiperfect Number

Interestingness

★ ★ ☆ ☆ ☆

4 notable facts · grade D

84,008 84,009 84,010 84,011 84,012 84,013 84,014 84,015 84,016 84,017 84,018 84,019 84,020 84,021 84,022 84,023 84,024 84,025 84,026 84,027 84,028 84,029 84,030 84,031 84,032

less more

Properties

Parity: Even
Digit count: 5
Digit sum: 14
Digit product: 0
Digital root: 5
Palindrome: No
Bit width: 17 bits
Reversed: 2,048
Recamán's sequence: a(269,108) = 84,020
Square (n²): 7,059,360,400
Cube (n³): 593,127,460,808,000
Divisor count: 12
σ(n) — sum of divisors: 176,484
φ(n) — Euler's totient: 33,600
Sum of prime factors: 4,210

Primality

Prime factorization: 2 ² × 5 × 4201

Nearest primes: 84,017 (−3) · 84,047 (+27)

Divisors & multiples

All divisors (12)

1 · 2 · 4 · 5 · 10 · 20 · 4201 · 8402 · 16804 · 21005 · 42010 (half) · 84020

Aliquot sum (sum of proper divisors): 92,464

Factor pairs (a × b = 84,020)

1 × 84020

2 × 42010

4 × 21005

5 × 16804

10 × 8402

20 × 4201

First multiples

84,020 · 168,040 (double) · 252,060 · 336,080 · 420,100 · 504,120 · 588,140 · 672,160 · 756,180 · 840,200

Sums & aliquot sequence

As a sum of two squares: 58² + 284² = 124² + 262²

As consecutive integers: 16,802 + 16,803 + 16,804 + 16,805 + 16,806 10,499 + 10,500 + … + 10,506 2,081 + 2,082 + … + 2,120

Aliquot sequence: 84,020 → 92,464 → 86,716 → 96,964 → 97,020 → 276,444 → 522,900 → 1,372,812 → 2,363,508 → 4,607,820 → 12,810,420 → 32,751,180 → 99,337,140 → 245,035,980 → 612,437,364 → 1,380,209,292 → 2,986,253,172 — unresolved within range

Continued fraction of √n

√84,020 = [289; (1, 6, 4, 35, 1, 114, 1, 35, 4, 6, 1, 578)]

Period length 12 — the block in parentheses repeats forever.

Representations

In words: eighty-four thousand twenty
Ordinal: 84020th
Binary: 10100100000110100
Octal: 244064
Hexadecimal: 0x14834
Base64: AUg0
One's complement: 4,294,883,275 (32-bit)
Scientific notation: 8.402 × 10⁴
As a duration: 84,020 s = 23 hours, 20 minutes, 20 seconds

In other bases

ternary (3) 11021020212

quaternary (4) 110200310

quinary (5) 10142040

senary (6) 1444552

septenary (7) 466646

nonary (9) 137225

undecimal (11) 58142

duodecimal (12) 40758

tridecimal (13) 2c321

tetradecimal (14) 22896

pentadecimal (15) 19d65

As an angle

84,020° = 233 × 360° + 140°

140° ≈ 2.443 rad

Compass bearing: SE (southeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒁹𒁹𒁹 𒌋𒌋 𒌋𒌋
Egyptian hieroglyphic: 𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓎆𓎆
Greek (Milesian): ͵πδκʹ
Mayan (base 20): 𝋪·𝋪·𝋡·𝋠
Chinese: 八萬四千零二十
Chinese (financial): 捌萬肆仟零貳拾

In other modern scripts

Eastern Arabic ٨٤٠٢٠ Devanagari ८४०२० Bengali ৮৪০২০ Tamil ௮௪௦௨௦ Thai ๘๔๐๒๐ Tibetan ༨༤༠༢༠ Khmer ៨៤០២០ Lao ໘໔໐໒໐ Burmese ၈၄၀၂၀

Digit at this position in famous constants

π — Pi (π): Digit 84,020 = 6
e — Euler's number (e): Digit 84,020 = 8
φ — Golden ratio (φ): Digit 84,020 = 8
√2 — Pythagoras's (√2): Digit 84,020 = 9
ln 2 — Natural log of 2: Digit 84,020 = 9
γ — Euler-Mascheroni (γ): Digit 84,020 = 5

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 84020, here are decompositions:

3 + 84017 = 84020
37 + 83983 = 84020
109 + 83911 = 84020
151 + 83869 = 84020
163 + 83857 = 84020
229 + 83791 = 84020
283 + 83737 = 84020
331 + 83689 = 84020

Showing the first eight; more decompositions exist.

Hex color

#014834

RGB(1, 72, 52)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.72.52.

Address: 0.1.72.52
Class: reserved
IPv4-mapped IPv6: ::ffff:0.1.72.52

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

Position in π

The digit sequence 84020 first appears in π at position 400,751 of the decimal expansion (the 400,751ordinal-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 84020 on Pi Search ↗