number.wiki
Live analysis

948,948

948,948 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.).

948,948 (nine hundred forty-eight thousand nine hundred forty-eight) is an even 6-digit number. It is a composite number with 96 divisors, and factors as 2² × 3 × 7 × 11 × 13 × 79. Its proper divisors sum to 2,061,612, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xE7AD4.

Abundant Number Arithmetic Number Cube-Free Evil Number Harshad / Niven Practical Number Weird Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
42
Digit product
82,944
Digital root
6
Palindrome
No
Bit width
20 bits
Reversed
849,849
Square (n²)
900,502,306,704
Cube (n³)
854,529,862,942,147,392
Divisor count
96
σ(n) — sum of divisors
3,010,560
φ(n) — Euler's totient
224,640
Sum of prime factors
117

Primality

Prime factorization: 2 2 × 3 × 7 × 11 × 13 × 79

Nearest primes: 948,947 (−1) · 948,971 (+23)

Divisors & multiples

All divisors (96)
1 · 2 · 3 · 4 · 6 · 7 · 11 · 12 · 13 · 14 · 21 · 22 · 26 · 28 · 33 · 39 · 42 · 44 · 52 · 66 · 77 · 78 · 79 · 84 · 91 · 132 · 143 · 154 · 156 · 158 · 182 · 231 · 237 · 273 · 286 · 308 · 316 · 364 · 429 · 462 · 474 · 546 · 553 · 572 · 858 · 869 · 924 · 948 · 1001 · 1027 · 1092 · 1106 · 1659 · 1716 · 1738 · 2002 · 2054 · 2212 · 2607 · 3003 · 3081 · 3318 · 3476 · 4004 · 4108 · 5214 · 6006 · 6083 · 6162 · 6636 · 7189 · 10428 · 11297 · 12012 · 12166 · 12324 · 14378 · 18249 · 21567 · 22594 · 24332 · 28756 · 33891 · 36498 · 43134 · 45188 · 67782 · 72996 · 79079 · 86268 · 135564 · 158158 · 237237 · 316316 · 474474 (half) · 948948
Aliquot sum (sum of proper divisors): 2,061,612
Factor pairs (a × b = 948,948)
1 × 948948
2 × 474474
3 × 316316
4 × 237237
6 × 158158
7 × 135564
11 × 86268
12 × 79079
13 × 72996
14 × 67782
21 × 45188
22 × 43134
26 × 36498
28 × 33891
33 × 28756
39 × 24332
42 × 22594
44 × 21567
52 × 18249
66 × 14378
77 × 12324
78 × 12166
79 × 12012
84 × 11297
91 × 10428
132 × 7189
143 × 6636
154 × 6162
156 × 6083
158 × 6006
182 × 5214
231 × 4108
237 × 4004
273 × 3476
286 × 3318
308 × 3081
316 × 3003
364 × 2607
429 × 2212
462 × 2054
474 × 2002
546 × 1738
553 × 1716
572 × 1659
858 × 1106
869 × 1092
924 × 1027
948 × 1001
First multiples
948,948 · 1,897,896 (double) · 2,846,844 · 3,795,792 · 4,744,740 · 5,693,688 · 6,642,636 · 7,591,584 · 8,540,532 · 9,489,480

Sums & aliquot sequence

As consecutive integers: 316,315 + 316,316 + 316,317 135,561 + 135,562 + … + 135,567 118,615 + 118,616 + … + 118,622 86,263 + 86,264 + … + 86,273
Aliquot sequence: 948,948 2,061,612 4,181,604 7,151,004 14,292,964 14,293,020 31,445,988 63,797,916 124,487,524 124,487,580 293,485,668 491,047,452 927,534,804 1,545,891,564 2,576,486,164 2,627,511,404 2,755,685,044 — unresolved within range

Continued fraction of √n

√948,948 = [974; (7, 6, 6, 6, 7, 1948)]

Period length 6 — the block in parentheses repeats forever.

Representations

In words
nine hundred forty-eight thousand nine hundred forty-eight
Ordinal
948948th
Binary
11100111101011010100
Octal
3475324
Hexadecimal
0xE7AD4
Base64
DnrU
One's complement
4,294,018,347 (32-bit)
Scientific notation
9.48948 × 10⁵
As a duration
948,948 s = 10 days, 23 hours, 35 minutes, 48 seconds
In other bases
ternary (3) 1210012201020
quaternary (4) 3213223110
quinary (5) 220331243
senary (6) 32201140
septenary (7) 11031420
nonary (9) 1705636
undecimal (11) 598a60
duodecimal (12) 3991b0
tridecimal (13) 272c10
tetradecimal (14) 1a9b80
pentadecimal (15) 13b283

As an angle

948,948° = 2,635 × 360° + 348°
348° ≈ 6.074 rad
Compass bearing: NNW (north-northwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ϡμηϡμηʹ
Chinese
九十四萬八千九百四十八
Chinese (financial)
玖拾肆萬捌仟玖佰肆拾捌
In other modern scripts
Eastern Arabic ٩٤٨٩٤٨ Devanagari ९४८९४८ Bengali ৯৪৮৯৪৮ Tamil ௯௪௮௯௪௮ Thai ๙๔๘๙๔๘ Tibetan ༩༤༨༩༤༨ Khmer ៩៤៨៩៤៨ Lao ໙໔໘໙໔໘ Burmese ၉၄၈၉၄၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 948948, here are decompositions:

  • 5 + 948943 = 948948
  • 19 + 948929 = 948948
  • 41 + 948907 = 948948
  • 47 + 948901 = 948948
  • 61 + 948887 = 948948
  • 71 + 948877 = 948948
  • 101 + 948847 = 948948
  • 109 + 948839 = 948948

Showing the first eight; more decompositions exist.

Hex color
#0E7AD4
RGB(14, 122, 212)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.14.122.212.

Address
0.14.122.212
Class
reserved
IPv4-mapped IPv6
::ffff:0.14.122.212

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 948,948 and was likely granted around 1909.

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°.