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983,400

983,400 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.).

983,400 (nine hundred eighty-three thousand four hundred) is an even 6-digit number. It is a composite number with 96 divisors, and factors as 2³ × 3 × 5² × 11 × 149. Its proper divisors sum to 2,364,600, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF0168.

Abundant Number Arithmetic Number Evil Number Harshad / Niven Practical Number Recamán's Sequence Weird Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
24
Digit product
0
Digital root
6
Palindrome
No
Bit width
20 bits
Reversed
4,389
Recamán's sequence
a(326,407) = 983,400
Square (n²)
967,075,560,000
Cube (n³)
951,022,105,704,000,000
Divisor count
96
σ(n) — sum of divisors
3,348,000
φ(n) — Euler's totient
236,800
Sum of prime factors
179

Primality

Prime factorization: 2 3 × 3 × 5 2 × 11 × 149

Nearest primes: 983,377 (−23) · 983,407 (+7)

Divisors & multiples

All divisors (96)
1 · 2 · 3 · 4 · 5 · 6 · 8 · 10 · 11 · 12 · 15 · 20 · 22 · 24 · 25 · 30 · 33 · 40 · 44 · 50 · 55 · 60 · 66 · 75 · 88 · 100 · 110 · 120 · 132 · 149 · 150 · 165 · 200 · 220 · 264 · 275 · 298 · 300 · 330 · 440 · 447 · 550 · 596 · 600 · 660 · 745 · 825 · 894 · 1100 · 1192 · 1320 · 1490 · 1639 · 1650 · 1788 · 2200 · 2235 · 2980 · 3278 · 3300 · 3576 · 3725 · 4470 · 4917 · 5960 · 6556 · 6600 · 7450 · 8195 · 8940 · 9834 · 11175 · 13112 · 14900 · 16390 · 17880 · 19668 · 22350 · 24585 · 29800 · 32780 · 39336 · 40975 · 44700 · 49170 · 65560 · 81950 · 89400 · 98340 · 122925 · 163900 · 196680 · 245850 · 327800 · 491700 (half) · 983400
Aliquot sum (sum of proper divisors): 2,364,600
Factor pairs (a × b = 983,400)
1 × 983400
2 × 491700
3 × 327800
4 × 245850
5 × 196680
6 × 163900
8 × 122925
10 × 98340
11 × 89400
12 × 81950
15 × 65560
20 × 49170
22 × 44700
24 × 40975
25 × 39336
30 × 32780
33 × 29800
40 × 24585
44 × 22350
50 × 19668
55 × 17880
60 × 16390
66 × 14900
75 × 13112
88 × 11175
100 × 9834
110 × 8940
120 × 8195
132 × 7450
149 × 6600
150 × 6556
165 × 5960
200 × 4917
220 × 4470
264 × 3725
275 × 3576
298 × 3300
300 × 3278
330 × 2980
440 × 2235
447 × 2200
550 × 1788
596 × 1650
600 × 1639
660 × 1490
745 × 1320
825 × 1192
894 × 1100
First multiples
983,400 · 1,966,800 (double) · 2,950,200 · 3,933,600 · 4,917,000 · 5,900,400 · 6,883,800 · 7,867,200 · 8,850,600 · 9,834,000

Sums & aliquot sequence

As consecutive integers: 327,799 + 327,800 + 327,801 196,678 + 196,679 + 196,680 + 196,681 + 196,682 89,395 + 89,396 + … + 89,405 65,553 + 65,554 + … + 65,567
Aliquot sequence: 983,400 2,364,600 6,027,720 12,055,800 25,977,480 53,078,520 123,177,480 246,355,320 494,029,320 988,059,000 2,290,561,800 4,821,929,400 10,418,735,760 — keeps growing

Continued fraction of √n

√983,400 = [991; (1, 1, 1, 78, 1, 1, 1, 1982)]

Period length 8 — the block in parentheses repeats forever.

Representations

In words
nine hundred eighty-three thousand four hundred
Ordinal
983400th
Binary
11110000000101101000
Octal
3600550
Hexadecimal
0xF0168
Base64
DwFo
One's complement
4,293,983,895 (32-bit)
Scientific notation
9.834 × 10⁵
As a duration
983,400 s = 11 days, 9 hours, 10 minutes
In other bases
ternary (3) 1211221222020
quaternary (4) 3300011220
quinary (5) 222432100
senary (6) 33024440
septenary (7) 11234025
nonary (9) 1757866
undecimal (11) 611930
duodecimal (12) 3b5120
tridecimal (13) 2857c2
tetradecimal (14) 1b854c
pentadecimal (15) 1465a0

As an angle

983,400° = 2,731 × 360° + 240°
240° ≈ 4.189 rad
Compass bearing: WSW (west-southwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹 𒌋 ·
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢
Greek (Milesian)
͵ϡπγυʹ
Chinese
九十八萬三千四百
Chinese (financial)
玖拾捌萬參仟肆佰
In other modern scripts
Eastern Arabic ٩٨٣٤٠٠ Devanagari ९८३४०० Bengali ৯৮৩৪০০ Tamil ௯௮௩௪௦௦ Thai ๙๘๓๔๐๐ Tibetan ༩༨༣༤༠༠ Khmer ៩៨៣៤០០ Lao ໙໘໓໔໐໐ Burmese ၉၈၃၄၀၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 983400, here are decompositions:

  • 23 + 983377 = 983400
  • 29 + 983371 = 983400
  • 37 + 983363 = 983400
  • 53 + 983347 = 983400
  • 71 + 983329 = 983400
  • 73 + 983327 = 983400
  • 83 + 983317 = 983400
  • 101 + 983299 = 983400

Showing the first eight; more decompositions exist.

Hex color
#0F0168
RGB(15, 1, 104)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.1.104.

Address
0.15.1.104
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.1.104

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

Possible US patent number

This number falls in the range of US utility patent numbers. If it's a patent, it would be issued as US 983,400 and was likely granted around 1910.

Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.

Related reading

  • Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.