Live analysis

1,013,166

1,013,166 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.).

1,013,166 (one million thirteen thousand one hundred sixty-six) is an even 7-digit number. It is a composite number with 96 divisors, and factors as 2 × 3² × 7 × 11 × 17 × 43. Its proper divisors sum to 1,952,082, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF75AE.

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

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

1,013,154 1,013,155 1,013,156 1,013,157 1,013,158 1,013,159 1,013,160 1,013,161 1,013,162 1,013,163 1,013,164 1,013,165 1,013,166 1,013,167 1,013,168 1,013,169 1,013,170 1,013,171 1,013,172 1,013,173 1,013,174 1,013,175 1,013,176 1,013,177 1,013,178

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 18
Digit product: 0
Digital root: 9
Palindrome: No
Bit width: 20 bits
Reversed: 6,613,101
Square (n²): 1,026,505,343,556
Cube (n³): 1,040,020,312,909,258,296
Divisor count: 96
σ(n) — sum of divisors: 2,965,248
φ(n) — Euler's totient: 241,920
Sum of prime factors: 86

Primality

Prime factorization: 2 × 3 ² × 7 × 11 × 17 × 43

Nearest primes: 1,013,153 (−13) · 1,013,197 (+31)

Divisors & multiples

All divisors (96)

1 · 2 · 3 · 6 · 7 · 9 · 11 · 14 · 17 · 18 · 21 · 22 · 33 · 34 · 42 · 43 · 51 · 63 · 66 · 77 · 86 · 99 · 102 · 119 · 126 · 129 · 153 · 154 · 187 · 198 · 231 · 238 · 258 · 301 · 306 · 357 · 374 · 387 · 462 · 473 · 561 · 602 · 693 · 714 · 731 · 774 · 903 · 946 · 1071 · 1122 · 1309 · 1386 · 1419 · 1462 · 1683 · 1806 · 2142 · 2193 · 2618 · 2709 · 2838 · 3311 · 3366 · 3927 · 4257 · 4386 · 5117 · 5418 · 6579 · 6622 · 7854 · 8041 · 8514 · 9933 · 10234 · 11781 · 13158 · 15351 · 16082 · 19866 · 23562 · 24123 · 29799 · 30702 · 46053 · 48246 · 56287 · 59598 · 72369 · 92106 · 112574 · 144738 · 168861 · 337722 · 506583 (half) · 1013166

Aliquot sum (sum of proper divisors): 1,952,082

Factor pairs (a × b = 1,013,166)

1 × 1013166

2 × 506583

3 × 337722

6 × 168861

7 × 144738

9 × 112574

11 × 92106

14 × 72369

17 × 59598

18 × 56287

21 × 48246

22 × 46053

33 × 30702

34 × 29799

42 × 24123

43 × 23562

51 × 19866

63 × 16082

66 × 15351

77 × 13158

86 × 11781

99 × 10234

102 × 9933

119 × 8514

126 × 8041

129 × 7854

153 × 6622

154 × 6579

187 × 5418

198 × 5117

231 × 4386

238 × 4257

258 × 3927

301 × 3366

306 × 3311

357 × 2838

374 × 2709

387 × 2618

462 × 2193

473 × 2142

561 × 1806

602 × 1683

693 × 1462

714 × 1419

731 × 1386

774 × 1309

903 × 1122

946 × 1071

First multiples

1,013,166 · 2,026,332 (double) · 3,039,498 · 4,052,664 · 5,065,830 · 6,078,996 · 7,092,162 · 8,105,328 · 9,118,494 · 10,131,660

Sums & aliquot sequence

As consecutive integers: 337,721 + 337,722 + 337,723 253,290 + 253,291 + 253,292 + 253,293 144,735 + 144,736 + … + 144,741 112,570 + 112,571 + … + 112,578

Aliquot sequence: 1,013,166 → 1,952,082 → 2,662,398 → 3,141,738 → 3,698,550 → 6,239,430 → 10,539,882 → 13,167,288 → 23,332,032 → 43,546,676 → 32,660,014 → 16,330,010 → 13,135,846 → 6,631,034 → 3,427,546 → 1,975,334 → 1,099,738 — unresolved within range

Continued fraction of √n

√1,013,166 = [1006; (1, 1, 3, 1, 1, 3, 4, 8, 1, 2, 2, 29, 1, 1, 1, 1, 1, 2, 1, 2, 2, 80, 9, 1, …)]

Period length 56 — the block in parentheses repeats forever.

Representations

In words: one million thirteen thousand one hundred sixty-six
Ordinal: 1013166th
Binary: 11110111010110101110
Octal: 3672656
Hexadecimal: 0xF75AE
Base64: D3Wu
One's complement: 4,293,954,129 (32-bit)
Scientific notation: 1.013166 × 10⁶
As a duration: 1,013,166 s = 11 days, 17 hours, 26 minutes, 6 seconds

In other bases

ternary (3) 1220110210200

quaternary (4) 3313112232

quinary (5) 224410131

senary (6) 33414330

septenary (7) 11416560

nonary (9) 1813720

undecimal (11) 632230

duodecimal (12) 40a3a6

tridecimal (13) 29620b

tetradecimal (14) 1c5330

pentadecimal (15) 1502e6

As an angle

1,013,166° = 2,814 × 360° + 126°

126° ≈ 2.199 rad

Compass bearing: SE (southeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓁨𓂍𓆼𓆼𓆼𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Chinese: 一百零一萬三千一百六十六
Chinese (financial): 壹佰零壹萬參仟壹佰陸拾陸

In other modern scripts

Eastern Arabic ١٠١٣١٦٦ Devanagari १०१३१६६ Bengali ১০১৩১৬৬ Tamil ௧௦௧௩௧௬௬ Thai ๑๐๑๓๑๖๖ Tibetan ༡༠༡༣༡༦༦ Khmer ១០១៣១៦៦ Lao ໑໐໑໓໑໖໖ Burmese ၁၀၁၃၁၆၆

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1013166, here are decompositions:

13 + 1013153 = 1013166
23 + 1013143 = 1013166
103 + 1013063 = 1013166
113 + 1013053 = 1013166
137 + 1013029 = 1013166
157 + 1013009 = 1013166
163 + 1013003 = 1013166
173 + 1012993 = 1013166

Showing the first eight; more decompositions exist.

Hex color

#0F75AE

RGB(15, 117, 174)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.117.174.

Address: 0.15.117.174
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.117.174

Unspecified address (0.0.0.0/8) — "this network" placeholder.

Possible date

Could be parsed as a date. Most likely interpretation: Saturday, January 1, 3166 (MDDYYYY (US, single-digit month)).

Other possible interpretations (2)

3166-10-01 (MMDYYYY (US, single-digit day))
3166-01-10 (DDMYYYY (Euro, single-digit month))

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 1,013,166 and was likely granted around 1911.

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

Look up US1,013,166 on Google Patents ↗ Look up on USPTO ↗