Live analysis

966,672

966,672 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.).

966,672 (nine hundred sixty-six thousand six hundred seventy-two) is an even 6-digit number. It is a composite number with 90 divisors, and factors as 2⁴ × 3² × 7² × 137. Its proper divisors sum to 2,203,326, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xEC010.

Abundant Number Evil Number Harshad / Niven Practical Number Weird Number

Interestingness

★ ☆ ☆ ☆ ☆

3 notable facts · grade F

966,660 966,661 966,662 966,663 966,664 966,665 966,666 966,667 966,668 966,669 966,670 966,671 966,672 966,673 966,674 966,675 966,676 966,677 966,678 966,679 966,680 966,681 966,682 966,683 966,684

less more

Properties

Parity: Even
Digit count: 6
Digit sum: 36
Digit product: 27,216
Digital root: 9
Palindrome: No
Bit width: 20 bits
Reversed: 276,669
Square (n²): 934,454,755,584
Cube (n³): 903,311,247,489,896,448
Divisor count: 90
σ(n) — sum of divisors: 3,169,998
φ(n) — Euler's totient: 274,176
Sum of prime factors: 165

Primality

Prime factorization: 2 ⁴ × 3 ² × 7 ² × 137

Nearest primes: 966,661 (−11) · 966,677 (+5)

Divisors & multiples

All divisors (90)

1 · 2 · 3 · 4 · 6 · 7 · 8 · 9 · 12 · 14 · 16 · 18 · 21 · 24 · 28 · 36 · 42 · 48 · 49 · 56 · 63 · 72 · 84 · 98 · 112 · 126 · 137 · 144 · 147 · 168 · 196 · 252 · 274 · 294 · 336 · 392 · 411 · 441 · 504 · 548 · 588 · 784 · 822 · 882 · 959 · 1008 · 1096 · 1176 · 1233 · 1644 · 1764 · 1918 · 2192 · 2352 · 2466 · 2877 · 3288 · 3528 · 3836 · 4932 · 5754 · 6576 · 6713 · 7056 · 7672 · 8631 · 9864 · 11508 · 13426 · 15344 · 17262 · 19728 · 20139 · 23016 · 26852 · 34524 · 40278 · 46032 · 53704 · 60417 · 69048 · 80556 · 107408 · 120834 · 138096 · 161112 · 241668 · 322224 · 483336 (half) · 966672

Aliquot sum (sum of proper divisors): 2,203,326

Factor pairs (a × b = 966,672)

1 × 966672

2 × 483336

3 × 322224

4 × 241668

6 × 161112

7 × 138096

8 × 120834

9 × 107408

12 × 80556

14 × 69048

16 × 60417

18 × 53704

21 × 46032

24 × 40278

28 × 34524

36 × 26852

42 × 23016

48 × 20139

49 × 19728

56 × 17262

63 × 15344

72 × 13426

84 × 11508

98 × 9864

112 × 8631

126 × 7672

137 × 7056

144 × 6713

147 × 6576

168 × 5754

196 × 4932

252 × 3836

274 × 3528

294 × 3288

336 × 2877

392 × 2466

411 × 2352

441 × 2192

504 × 1918

548 × 1764

588 × 1644

784 × 1233

822 × 1176

882 × 1096

959 × 1008

First multiples

966,672 · 1,933,344 (double) · 2,900,016 · 3,866,688 · 4,833,360 · 5,800,032 · 6,766,704 · 7,733,376 · 8,700,048 · 9,666,720

Sums & aliquot sequence

As a sum of two squares: 336² + 924²

As consecutive integers: 322,223 + 322,224 + 322,225 138,093 + 138,094 + … + 138,099 107,404 + 107,405 + … + 107,412 46,022 + 46,023 + … + 46,042

Aliquot sequence: 966,672 → 2,203,326 → 2,618,634 → 2,618,646 → 2,926,938 → 3,814,566 → 4,904,538 → 5,411,622 → 5,411,634 → 5,441,838 → 5,441,850 → 10,182,150 → 21,677,418 → 33,262,038 → 40,754,970 → 67,682,502 → 79,715,034 — unresolved within range

Continued fraction of √n

√966,672 = [983; (5, 7, 2, 12, 1, 4, 1, 1, 11, 4, 2, 1, 2, 5, 2, 6, 2, 1, 7, 1, 1, 1, 5, 1, …)]

Representations

In words: nine hundred sixty-six thousand six hundred seventy-two
Ordinal: 966672nd
Binary: 11101100000000010000
Octal: 3540020
Hexadecimal: 0xEC010
Base64: DsAQ
One's complement: 4,294,000,623 (32-bit)
Scientific notation: 9.66672 × 10⁵
As a duration: 966,672 s = 11 days, 4 hours, 31 minutes, 12 seconds

In other bases

ternary (3) 1211010000200

quaternary (4) 3230000100

quinary (5) 221413142

senary (6) 32415200

septenary (7) 11134200

nonary (9) 1733020

undecimal (11) 600303

duodecimal (12) 3a7500

tridecimal (13) 27acc5

tetradecimal (14) 1b2400

pentadecimal (15) 14164c

As an angle

966,672° = 2,685 × 360° + 72°

72° ≈ 1.257 rad

Compass bearing: ENE (east-northeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹 𒌋𒁹𒁹
Egyptian hieroglyphic: 𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian): ͵ϡξϛχοβʹ
Chinese: 九十六萬六千六百七十二
Chinese (financial): 玖拾陸萬陸仟陸佰柒拾貳

In other modern scripts

Eastern Arabic ٩٦٦٦٧٢ Devanagari ९६६६७२ Bengali ৯৬৬৬৭২ Tamil ௯௬௬௬௭௨ Thai ๙๖๖๖๗๒ Tibetan ༩༦༦༦༧༢ Khmer ៩៦៦៦៧២ Lao ໙໖໖໖໗໒ Burmese ၉၆၆၆၇၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 966672, here are decompositions:

11 + 966661 = 966672
13 + 966659 = 966672
19 + 966653 = 966672
41 + 966631 = 966672
53 + 966619 = 966672
59 + 966613 = 966672
89 + 966583 = 966672
151 + 966521 = 966672

Showing the first eight; more decompositions exist.

Hex color

#0EC010

RGB(14, 192, 16)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.14.192.16.

Address: 0.14.192.16
Class: reserved
IPv4-mapped IPv6: ::ffff:0.14.192.16

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 966,672 and was likely granted around 1910.

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

Look up US966,672 on Google Patents ↗ Look up on USPTO ↗