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84,440

84,440 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.).

84,440 (eighty-four thousand four hundred forty) is an even 5-digit number. It is a composite number with 16 divisors, and factors as 2³ × 5 × 2,111. Its proper divisors sum to 105,640, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x149D8.

Abundant Number Arithmetic Number Evil Number Harshad / Niven Recamán's Sequence Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
5
Digit sum
20
Digit product
0
Digital root
2
Palindrome
No
Bit width
17 bits
Reversed
4,448
Recamán's sequence
a(268,268) = 84,440
Square (n²)
7,130,113,600
Cube (n³)
602,066,792,384,000
Divisor count
16
σ(n) — sum of divisors
190,080
φ(n) — Euler's totient
33,760
Sum of prime factors
2,122

Primality

Prime factorization: 2 3 × 5 × 2111

Nearest primes: 84,437 (−3) · 84,443 (+3)

Divisors & multiples

All divisors (16)
1 · 2 · 4 · 5 · 8 · 10 · 20 · 40 · 2111 · 4222 · 8444 · 10555 · 16888 · 21110 · 42220 (half) · 84440
Aliquot sum (sum of proper divisors): 105,640
Factor pairs (a × b = 84,440)
1 × 84440
2 × 42220
4 × 21110
5 × 16888
8 × 10555
10 × 8444
20 × 4222
40 × 2111
First multiples
84,440 · 168,880 (double) · 253,320 · 337,760 · 422,200 · 506,640 · 591,080 · 675,520 · 759,960 · 844,400

Sums & aliquot sequence

As consecutive integers: 16,886 + 16,887 + 16,888 + 16,889 + 16,890 5,270 + 5,271 + … + 5,285 1,016 + 1,017 + … + 1,095
Aliquot sequence: 84,440 105,640 146,360 183,040 332,048 311,326 155,666 111,214 65,474 37,966 20,498 11,194 6,266 3,898 1,952 1,954 980 — unresolved within range

Continued fraction of √n

√84,440 = [290; (1, 1, 2, 2, 2, 1, 1, 1, 2, 13, 1, 3, 1, 6, 1, 5, 1, 1, 1, 12, 1, 1, 3, 1, …)]

Period length 52 — the block in parentheses repeats forever.

Representations

In words
eighty-four thousand four hundred forty
Ordinal
84440th
Binary
10100100111011000
Octal
244730
Hexadecimal
0x149D8
Base64
AUnY
One's complement
4,294,882,855 (32-bit)
Scientific notation
8.444 × 10⁴
As a duration
84,440 s = 23 hours, 27 minutes, 20 seconds
In other bases
ternary (3) 11021211102
quaternary (4) 110213120
quinary (5) 10200230
senary (6) 1450532
septenary (7) 501116
nonary (9) 137742
undecimal (11) 58494
duodecimal (12) 40a48
tridecimal (13) 2c585
tetradecimal (14) 22ab6
pentadecimal (15) 1a045

As an angle

84,440° = 234 × 360° + 200°
200° ≈ 3.491 rad
Compass bearing: SSW (south-southwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋
Egyptian hieroglyphic
𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆
Greek (Milesian)
͵πδυμʹ
Mayan (base 20)
𝋪·𝋫·𝋢·𝋠
Chinese
八萬四千四百四十
Chinese (financial)
捌萬肆仟肆佰肆拾
In other modern scripts
Eastern Arabic ٨٤٤٤٠ Devanagari ८४४४० Bengali ৮৪৪৪০ Tamil ௮௪௪௪௦ Thai ๘๔๔๔๐ Tibetan ༨༤༤༤༠ Khmer ៨៤៤៤០ Lao ໘໔໔໔໐ Burmese ၈၄၄၄၀

Digit at this position in famous constants

π — Pi (π)
Digit 84,440 = 8
e — Euler's number (e)
Digit 84,440 = 8
φ — Golden ratio (φ)
Digit 84,440 = 2
√2 — Pythagoras's (√2)
Digit 84,440 = 0
ln 2 — Natural log of 2
Digit 84,440 = 6
γ — Euler-Mascheroni (γ)
Digit 84,440 = 2

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 84440, here are decompositions:

  • 3 + 84437 = 84440
  • 19 + 84421 = 84440
  • 127 + 84313 = 84440
  • 193 + 84247 = 84440
  • 211 + 84229 = 84440
  • 229 + 84211 = 84440
  • 241 + 84199 = 84440
  • 277 + 84163 = 84440

Showing the first eight; more decompositions exist.

Hex color
#0149D8
RGB(1, 73, 216)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.73.216.

Address
0.1.73.216
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.73.216

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

Position in π

The digit sequence 84440 first appears in π at position 37,071 of the decimal expansion (the 37,071ordinal-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.

Related reading

  • Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.