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981,000

981,000 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.).

981,000 (nine hundred eighty-one thousand) is an even 6-digit number. It is a composite number with 96 divisors, and factors as 2³ × 3² × 5³ × 109. Its proper divisors sum to 2,365,200, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xEF808.

Abundant Number Flippable Gapful Number Harshad / Niven Odious Number Practical Number Recamán's Sequence Weird Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
18
Digit product
0
Digital root
9
Palindrome
No
Bit width
20 bits
Reversed
189
Flips to (rotate 180°)
186
Recamán's sequence
a(324,411) = 981,000
Square (n²)
962,361,000,000
Cube (n³)
944,076,141,000,000,000
Divisor count
96
σ(n) — sum of divisors
3,346,200
φ(n) — Euler's totient
259,200
Sum of prime factors
136

Primality

Prime factorization: 2 3 × 3 2 × 5 3 × 109

Nearest primes: 980,999 (−1) · 981,011 (+11)

Divisors & multiples

All divisors (96)
1 · 2 · 3 · 4 · 5 · 6 · 8 · 9 · 10 · 12 · 15 · 18 · 20 · 24 · 25 · 30 · 36 · 40 · 45 · 50 · 60 · 72 · 75 · 90 · 100 · 109 · 120 · 125 · 150 · 180 · 200 · 218 · 225 · 250 · 300 · 327 · 360 · 375 · 436 · 450 · 500 · 545 · 600 · 654 · 750 · 872 · 900 · 981 · 1000 · 1090 · 1125 · 1308 · 1500 · 1635 · 1800 · 1962 · 2180 · 2250 · 2616 · 2725 · 3000 · 3270 · 3924 · 4360 · 4500 · 4905 · 5450 · 6540 · 7848 · 8175 · 9000 · 9810 · 10900 · 13080 · 13625 · 16350 · 19620 · 21800 · 24525 · 27250 · 32700 · 39240 · 40875 · 49050 · 54500 · 65400 · 81750 · 98100 · 109000 · 122625 · 163500 · 196200 · 245250 · 327000 · 490500 (half) · 981000
Aliquot sum (sum of proper divisors): 2,365,200
Factor pairs (a × b = 981,000)
1 × 981000
2 × 490500
3 × 327000
4 × 245250
5 × 196200
6 × 163500
8 × 122625
9 × 109000
10 × 98100
12 × 81750
15 × 65400
18 × 54500
20 × 49050
24 × 40875
25 × 39240
30 × 32700
36 × 27250
40 × 24525
45 × 21800
50 × 19620
60 × 16350
72 × 13625
75 × 13080
90 × 10900
100 × 9810
109 × 9000
120 × 8175
125 × 7848
150 × 6540
180 × 5450
200 × 4905
218 × 4500
225 × 4360
250 × 3924
300 × 3270
327 × 3000
360 × 2725
375 × 2616
436 × 2250
450 × 2180
500 × 1962
545 × 1800
600 × 1635
654 × 1500
750 × 1308
872 × 1125
900 × 1090
981 × 1000
First multiples
981,000 · 1,962,000 (double) · 2,943,000 · 3,924,000 · 4,905,000 · 5,886,000 · 6,867,000 · 7,848,000 · 8,829,000 · 9,810,000

Sums & aliquot sequence

As a sum of two squares: 30² + 990² = 306² + 942² = 570² + 810² = 618² + 774²
As consecutive integers: 326,999 + 327,000 + 327,001 196,198 + 196,199 + 196,200 + 196,201 + 196,202 108,996 + 108,997 + … + 109,004 65,393 + 65,394 + … + 65,407
Aliquot sequence: 981,000 2,365,200 6,239,594 3,119,800 4,524,800 8,401,456 10,202,016 19,015,872 31,297,464 63,425,736 127,630,584 218,035,776 441,266,944 492,146,096 534,736,096 532,451,648 524,132,218 — unresolved within range

Continued fraction of √n

√981,000 = [990; (2, 4, 1, 78, 2, 2, 1, 1, 4, 79, 55, 79, 4, 1, 1, 2, 2, 78, 1, 4, 2, 1980)]

Period length 22 — the block in parentheses repeats forever.

Representations

In words
nine hundred eighty-one thousand
Ordinal
981000th
Binary
11101111100000001000
Octal
3574010
Hexadecimal
0xEF808
Base64
DvgI
One's complement
4,293,986,295 (32-bit)
Scientific notation
9.81 × 10⁵
As a duration
981,000 s = 11 days, 8 hours, 30 minutes
In other bases
ternary (3) 1211211200100
quaternary (4) 3233200020
quinary (5) 222343000
senary (6) 33005400
septenary (7) 11224026
nonary (9) 1754610
undecimal (11) 610049
duodecimal (12) 3b3860
tridecimal (13) 284697
tetradecimal (14) 1b7716
pentadecimal (15) 145a00

As an angle

981,000° = 2,725 × 360°
0° ≈ 0 rad
Compass bearing: N (north)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹 𒌋𒌋𒌋 ·
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼
Greek (Milesian)
͵ϡπα
Chinese
九十八萬一千
Chinese (financial)
玖拾捌萬壹仟
In other modern scripts
Eastern Arabic ٩٨١٠٠٠ Devanagari ९८१००० Bengali ৯৮১০০০ Tamil ௯௮௧௦௦௦ Thai ๙๘๑๐๐๐ Tibetan ༩༨༡༠༠༠ Khmer ៩៨១០០០ Lao ໙໘໑໐໐໐ Burmese ၉၈၁၀၀၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 981000, here are decompositions:

  • 37 + 980963 = 981000
  • 43 + 980957 = 981000
  • 79 + 980921 = 981000
  • 89 + 980911 = 981000
  • 101 + 980899 = 981000
  • 103 + 980897 = 981000
  • 107 + 980893 = 981000
  • 113 + 980887 = 981000

Showing the first eight; more decompositions exist.

Hex color
#0EF808
RGB(14, 248, 8)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.14.248.8.

Address
0.14.248.8
Class
reserved
IPv4-mapped IPv6
::ffff:0.14.248.8

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 981,000 and was likely granted around 1910.

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

Position in π

The digit sequence 981000 first appears in π at position 118,940 of the decimal expansion (the 118,940ordinal-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.

Related reading

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