number.wiki
Live analysis

966,042

966,042 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.).

966,042 (nine hundred sixty-six thousand forty-two) is an even 6-digit number. It is a composite number with 96 divisors, and factors as 2 × 3² × 7 × 11 × 17 × 41. Its proper divisors sum to 1,864,422, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xEBD9A.

Abundant Number Arithmetic Number Cube-Free Odious Number Pernicious Number Practical Number Weird Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
27
Digit product
0
Digital root
9
Palindrome
No
Bit width
20 bits
Reversed
240,669
Square (n²)
933,237,145,764
Cube (n³)
901,546,278,768,146,088
Divisor count
96
σ(n) — sum of divisors
2,830,464
φ(n) — Euler's totient
230,400
Sum of prime factors
84

Primality

Prime factorization: 2 × 3 2 × 7 × 11 × 17 × 41

Nearest primes: 966,041 (−1) · 966,109 (+67)

Divisors & multiples

All divisors (96)
1 · 2 · 3 · 6 · 7 · 9 · 11 · 14 · 17 · 18 · 21 · 22 · 33 · 34 · 41 · 42 · 51 · 63 · 66 · 77 · 82 · 99 · 102 · 119 · 123 · 126 · 153 · 154 · 187 · 198 · 231 · 238 · 246 · 287 · 306 · 357 · 369 · 374 · 451 · 462 · 561 · 574 · 693 · 697 · 714 · 738 · 861 · 902 · 1071 · 1122 · 1309 · 1353 · 1386 · 1394 · 1683 · 1722 · 2091 · 2142 · 2583 · 2618 · 2706 · 3157 · 3366 · 3927 · 4059 · 4182 · 4879 · 5166 · 6273 · 6314 · 7667 · 7854 · 8118 · 9471 · 9758 · 11781 · 12546 · 14637 · 15334 · 18942 · 23001 · 23562 · 28413 · 29274 · 43911 · 46002 · 53669 · 56826 · 69003 · 87822 · 107338 · 138006 · 161007 · 322014 · 483021 (half) · 966042
Aliquot sum (sum of proper divisors): 1,864,422
Factor pairs (a × b = 966,042)
1 × 966042
2 × 483021
3 × 322014
6 × 161007
7 × 138006
9 × 107338
11 × 87822
14 × 69003
17 × 56826
18 × 53669
21 × 46002
22 × 43911
33 × 29274
34 × 28413
41 × 23562
42 × 23001
51 × 18942
63 × 15334
66 × 14637
77 × 12546
82 × 11781
99 × 9758
102 × 9471
119 × 8118
123 × 7854
126 × 7667
153 × 6314
154 × 6273
187 × 5166
198 × 4879
231 × 4182
238 × 4059
246 × 3927
287 × 3366
306 × 3157
357 × 2706
369 × 2618
374 × 2583
451 × 2142
462 × 2091
561 × 1722
574 × 1683
693 × 1394
697 × 1386
714 × 1353
738 × 1309
861 × 1122
902 × 1071
First multiples
966,042 · 1,932,084 (double) · 2,898,126 · 3,864,168 · 4,830,210 · 5,796,252 · 6,762,294 · 7,728,336 · 8,694,378 · 9,660,420

Sums & aliquot sequence

As consecutive integers: 322,013 + 322,014 + 322,015 241,509 + 241,510 + 241,511 + 241,512 138,003 + 138,004 + … + 138,009 107,334 + 107,335 + … + 107,342
Aliquot sequence: 966,042 1,864,422 2,752,554 3,539,094 4,609,914 4,609,926 5,634,474 5,679,606 5,781,498 6,314,502 6,314,514 7,495,662 7,557,090 10,579,998 16,232,802 20,539,038 26,030,562 — unresolved within range

Continued fraction of √n

√966,042 = [982; (1, 6, 1, 23, 2, 1, 1, 5, 1, 1, 3, 2, 2, 2, 2, 2, 3, 1, 1, 5, 1, 1, 2, 23, …)]

Period length 28 — the block in parentheses repeats forever.

Representations

In words
nine hundred sixty-six thousand forty-two
Ordinal
966042nd
Binary
11101011110110011010
Octal
3536632
Hexadecimal
0xEBD9A
Base64
Dr2a
One's complement
4,294,001,253 (32-bit)
Scientific notation
9.66042 × 10⁵
As a duration
966,042 s = 11 days, 4 hours, 20 minutes, 42 seconds
In other bases
ternary (3) 1211002011100
quaternary (4) 3223312122
quinary (5) 221403132
senary (6) 32412230
septenary (7) 11132310
nonary (9) 1732140
undecimal (11) 5aa890
duodecimal (12) 3a7076
tridecimal (13) 27a92c
tetradecimal (14) 1b20b0
pentadecimal (15) 14137c

As an angle

966,042° = 2,683 × 360° + 162°
162° ≈ 2.827 rad
Compass bearing: SSE (south-southeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋 𒌋𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian)
͵ϡξϛμβʹ
Chinese
九十六萬六千零四十二
Chinese (financial)
玖拾陸萬陸仟零肆拾貳
In other modern scripts
Eastern Arabic ٩٦٦٠٤٢ Devanagari ९६६०४२ Bengali ৯৬৬০৪২ Tamil ௯௬௬௦௪௨ Thai ๙๖๖๐๔๒ Tibetan ༩༦༦༠༤༢ Khmer ៩៦៦០៤២ Lao ໙໖໖໐໔໒ Burmese ၉၆၆၀၄၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 966042, here are decompositions:

  • 13 + 966029 = 966042
  • 29 + 966013 = 966042
  • 31 + 966011 = 966042
  • 53 + 965989 = 966042
  • 59 + 965983 = 966042
  • 73 + 965969 = 966042
  • 79 + 965963 = 966042
  • 89 + 965953 = 966042

Showing the first eight; more decompositions exist.

Hex color
#0EBD9A
RGB(14, 189, 154)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.14.189.154.

Address
0.14.189.154
Class
reserved
IPv4-mapped IPv6
::ffff:0.14.189.154

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 966,042 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°.