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967,104

967,104 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.).

967,104 (nine hundred sixty-seven thousand one hundred four) is an even 6-digit number. It is a composite number with 84 divisors, and factors as 2⁶ × 3² × 23 × 73. Its proper divisors sum to 1,965,072, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xEC1C0.

Abundant Number Evil 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
401,769
Square (n²)
935,290,146,816
Cube (n³)
904,522,842,146,340,864
Divisor count
84
σ(n) — sum of divisors
2,932,176
φ(n) — Euler's totient
304,128
Sum of prime factors
114

Primality

Prime factorization: 2 6 × 3 2 × 23 × 73

Nearest primes: 967,061 (−43) · 967,111 (+7)

Divisors & multiples

All divisors (84)
1 · 2 · 3 · 4 · 6 · 8 · 9 · 12 · 16 · 18 · 23 · 24 · 32 · 36 · 46 · 48 · 64 · 69 · 72 · 73 · 92 · 96 · 138 · 144 · 146 · 184 · 192 · 207 · 219 · 276 · 288 · 292 · 368 · 414 · 438 · 552 · 576 · 584 · 657 · 736 · 828 · 876 · 1104 · 1168 · 1314 · 1472 · 1656 · 1679 · 1752 · 2208 · 2336 · 2628 · 3312 · 3358 · 3504 · 4416 · 4672 · 5037 · 5256 · 6624 · 6716 · 7008 · 10074 · 10512 · 13248 · 13432 · 14016 · 15111 · 20148 · 21024 · 26864 · 30222 · 40296 · 42048 · 53728 · 60444 · 80592 · 107456 · 120888 · 161184 · 241776 · 322368 · 483552 (half) · 967104
Aliquot sum (sum of proper divisors): 1,965,072
Factor pairs (a × b = 967,104)
1 × 967104
2 × 483552
3 × 322368
4 × 241776
6 × 161184
8 × 120888
9 × 107456
12 × 80592
16 × 60444
18 × 53728
23 × 42048
24 × 40296
32 × 30222
36 × 26864
46 × 21024
48 × 20148
64 × 15111
69 × 14016
72 × 13432
73 × 13248
92 × 10512
96 × 10074
138 × 7008
144 × 6716
146 × 6624
184 × 5256
192 × 5037
207 × 4672
219 × 4416
276 × 3504
288 × 3358
292 × 3312
368 × 2628
414 × 2336
438 × 2208
552 × 1752
576 × 1679
584 × 1656
657 × 1472
736 × 1314
828 × 1168
876 × 1104
First multiples
967,104 · 1,934,208 (double) · 2,901,312 · 3,868,416 · 4,835,520 · 5,802,624 · 6,769,728 · 7,736,832 · 8,703,936 · 9,671,040

Sums & aliquot sequence

As consecutive integers: 322,367 + 322,368 + 322,369 107,452 + 107,453 + … + 107,460 42,037 + 42,038 + … + 42,059 13,982 + 13,983 + … + 14,050
Aliquot sequence: 967,104 1,965,072 3,111,488 3,171,964 2,378,980 2,911,508 2,183,638 1,117,994 559,000 882,440 1,257,040 1,823,120 2,744,296 2,401,274 1,200,640 2,138,432 2,105,146 — unresolved within range

Continued fraction of √n

√967,104 = [983; (2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 1966)]

Period length 12 — the block in parentheses repeats forever.

Representations

In words
nine hundred sixty-seven thousand one hundred four
Ordinal
967104th
Binary
11101100000111000000
Octal
3540700
Hexadecimal
0xEC1C0
Base64
DsHA
One's complement
4,294,000,191 (32-bit)
Scientific notation
9.67104 × 10⁵
As a duration
967,104 s = 11 days, 4 hours, 38 minutes, 24 seconds
In other bases
ternary (3) 1211010121200
quaternary (4) 3230013000
quinary (5) 221421404
senary (6) 32421200
septenary (7) 11135355
nonary (9) 1733550
undecimal (11) 600666
duodecimal (12) 3a7800
tridecimal (13) 27b268
tetradecimal (14) 1b262c
pentadecimal (15) 141839

As an angle

967,104° = 2,686 × 360° + 144°
144° ≈ 2.513 rad
Compass bearing: SE (southeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ϡξζρδʹ
Chinese
九十六萬七千一百零四
Chinese (financial)
玖拾陸萬柒仟壹佰零肆
In other modern scripts
Eastern Arabic ٩٦٧١٠٤ Devanagari ९६७१०४ Bengali ৯৬৭১০৪ Tamil ௯௬௭௧௦௪ Thai ๙๖๗๑๐๔ Tibetan ༩༦༧༡༠༤ Khmer ៩៦៧១០៤ Lao ໙໖໗໑໐໔ Burmese ၉၆၇၁၀၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 967104, here are decompositions:

  • 43 + 967061 = 967104
  • 101 + 967003 = 967104
  • 107 + 966997 = 967104
  • 113 + 966991 = 967104
  • 167 + 966937 = 967104
  • 181 + 966923 = 967104
  • 191 + 966913 = 967104
  • 197 + 966907 = 967104

Showing the first eight; more decompositions exist.

Hex color
#0EC1C0
RGB(14, 193, 192)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.14.193.192.

Address
0.14.193.192
Class
reserved
IPv4-mapped IPv6
::ffff:0.14.193.192

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 967,104 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°.