number.wiki
Live analysis

967,980

967,980 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.).

967,980 (nine hundred sixty-seven thousand nine hundred eighty) is an even 6-digit number. It is a composite number with 96 divisors, and factors as 2² × 3 × 5 × 13 × 17 × 73. Its proper divisors sum to 2,164,884, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xEC52C.

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

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
39
Digit product
0
Digital root
3
Palindrome
No
Bit width
20 bits
Reversed
89,769
Square (n²)
936,985,280,400
Cube (n³)
906,983,011,721,592,000
Divisor count
96
σ(n) — sum of divisors
3,132,864
φ(n) — Euler's totient
221,184
Sum of prime factors
115

Primality

Prime factorization: 2 2 × 3 × 5 × 13 × 17 × 73

Nearest primes: 967,979 (−1) · 967,999 (+19)

Divisors & multiples

All divisors (96)
1 · 2 · 3 · 4 · 5 · 6 · 10 · 12 · 13 · 15 · 17 · 20 · 26 · 30 · 34 · 39 · 51 · 52 · 60 · 65 · 68 · 73 · 78 · 85 · 102 · 130 · 146 · 156 · 170 · 195 · 204 · 219 · 221 · 255 · 260 · 292 · 340 · 365 · 390 · 438 · 442 · 510 · 663 · 730 · 780 · 876 · 884 · 949 · 1020 · 1095 · 1105 · 1241 · 1326 · 1460 · 1898 · 2190 · 2210 · 2482 · 2652 · 2847 · 3315 · 3723 · 3796 · 4380 · 4420 · 4745 · 4964 · 5694 · 6205 · 6630 · 7446 · 9490 · 11388 · 12410 · 13260 · 14235 · 14892 · 16133 · 18615 · 18980 · 24820 · 28470 · 32266 · 37230 · 48399 · 56940 · 64532 · 74460 · 80665 · 96798 · 161330 · 193596 · 241995 · 322660 · 483990 (half) · 967980
Aliquot sum (sum of proper divisors): 2,164,884
Factor pairs (a × b = 967,980)
1 × 967980
2 × 483990
3 × 322660
4 × 241995
5 × 193596
6 × 161330
10 × 96798
12 × 80665
13 × 74460
15 × 64532
17 × 56940
20 × 48399
26 × 37230
30 × 32266
34 × 28470
39 × 24820
51 × 18980
52 × 18615
60 × 16133
65 × 14892
68 × 14235
73 × 13260
78 × 12410
85 × 11388
102 × 9490
130 × 7446
146 × 6630
156 × 6205
170 × 5694
195 × 4964
204 × 4745
219 × 4420
221 × 4380
255 × 3796
260 × 3723
292 × 3315
340 × 2847
365 × 2652
390 × 2482
438 × 2210
442 × 2190
510 × 1898
663 × 1460
730 × 1326
780 × 1241
876 × 1105
884 × 1095
949 × 1020
First multiples
967,980 · 1,935,960 (double) · 2,903,940 · 3,871,920 · 4,839,900 · 5,807,880 · 6,775,860 · 7,743,840 · 8,711,820 · 9,679,800

Sums & aliquot sequence

As consecutive integers: 322,659 + 322,660 + 322,661 193,594 + 193,595 + 193,596 + 193,597 + 193,598 120,994 + 120,995 + … + 121,001 74,454 + 74,455 + … + 74,466
Aliquot sequence: 967,980 2,164,884 2,915,436 4,274,796 5,767,684 5,102,280 11,481,300 24,509,018 12,254,512 11,488,636 8,649,804 12,971,796 17,295,756 23,061,036 30,826,644 45,958,764 61,278,380 — unresolved within range

Continued fraction of √n

√967,980 = [983; (1, 6, 7, 1, 2, 3, 2, 1, 2, 5, 12, 1, 1, 27, 1, 490, 1, 27, 1, 1, 12, 5, 2, 1, …)]

Period length 32 — the block in parentheses repeats forever.

Representations

In words
nine hundred sixty-seven thousand nine hundred eighty
Ordinal
967980th
Binary
11101100010100101100
Octal
3542454
Hexadecimal
0xEC52C
Base64
DsUs
One's complement
4,293,999,315 (32-bit)
Scientific notation
9.6798 × 10⁵
As a duration
967,980 s = 11 days, 4 hours, 53 minutes
In other bases
ternary (3) 1211011211010
quaternary (4) 3230110230
quinary (5) 221433410
senary (6) 32425220
septenary (7) 11141046
nonary (9) 1734733
undecimal (11) 601292
duodecimal (12) 3a8210
tridecimal (13) 27b790
tetradecimal (14) 1b2a96
pentadecimal (15) 141c20

As an angle

967,980° = 2,688 × 360° + 300°
300° ≈ 5.236 rad
Compass bearing: WNW (west-northwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹 ·
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆
Greek (Milesian)
͵ϡξζϡπʹ
Chinese
九十六萬七千九百八十
Chinese (financial)
玖拾陸萬柒仟玖佰捌拾
In other modern scripts
Eastern Arabic ٩٦٧٩٨٠ Devanagari ९६७९८० Bengali ৯৬৭৯৮০ Tamil ௯௬௭௯௮௦ Thai ๙๖๗๙๘๐ Tibetan ༩༦༧༩༨༠ Khmer ៩៦៧៩៨០ Lao ໙໖໗໙໘໐ Burmese ၉၆၇၉၈၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 967980, here are decompositions:

  • 19 + 967961 = 967980
  • 29 + 967951 = 967980
  • 43 + 967937 = 967980
  • 61 + 967919 = 967980
  • 103 + 967877 = 967980
  • 107 + 967873 = 967980
  • 137 + 967843 = 967980
  • 149 + 967831 = 967980

Showing the first eight; more decompositions exist.

Hex color
#0EC52C
RGB(14, 197, 44)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.14.197.44.

Address
0.14.197.44
Class
reserved
IPv4-mapped IPv6
::ffff:0.14.197.44

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 967,980 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°.