Live analysis

1,016,316

1,016,316 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.).

1,016,316 (one million sixteen thousand three hundred sixteen) is an even 7-digit number. It is a composite number with 72 divisors, and factors as 2² × 3² × 7 × 37 × 109. Its proper divisors sum to 2,026,724, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF81FC.

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

Interestingness

★ ★ ☆ ☆ ☆

4 notable facts · grade D

1,016,304 1,016,305 1,016,306 1,016,307 1,016,308 1,016,309 1,016,310 1,016,311 1,016,312 1,016,313 1,016,314 1,016,315 1,016,316 1,016,317 1,016,318 1,016,319 1,016,320 1,016,321 1,016,322 1,016,323 1,016,324 1,016,325 1,016,326 1,016,327 1,016,328

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 18
Digit product: 0
Digital root: 9
Palindrome: No
Bit width: 20 bits
Reversed: 6,136,101
Square (n²): 1,032,898,211,856
Cube (n³): 1,049,750,979,080,642,496
Divisor count: 72
σ(n) — sum of divisors: 3,043,040
φ(n) — Euler's totient: 279,936
Sum of prime factors: 163

Primality

Prime factorization: 2 ² × 3 ² × 7 × 37 × 109

Nearest primes: 1,016,303 (−13) · 1,016,339 (+23)

Divisors & multiples

All divisors (72)

1 · 2 · 3 · 4 · 6 · 7 · 9 · 12 · 14 · 18 · 21 · 28 · 36 · 37 · 42 · 63 · 74 · 84 · 109 · 111 · 126 · 148 · 218 · 222 · 252 · 259 · 327 · 333 · 436 · 444 · 518 · 654 · 666 · 763 · 777 · 981 · 1036 · 1308 · 1332 · 1526 · 1554 · 1962 · 2289 · 2331 · 3052 · 3108 · 3924 · 4033 · 4578 · 4662 · 6867 · 8066 · 9156 · 9324 · 12099 · 13734 · 16132 · 24198 · 27468 · 28231 · 36297 · 48396 · 56462 · 72594 · 84693 · 112924 · 145188 · 169386 · 254079 · 338772 · 508158 (half) · 1016316

Aliquot sum (sum of proper divisors): 2,026,724

Factor pairs (a × b = 1,016,316)

1 × 1016316

2 × 508158

3 × 338772

4 × 254079

6 × 169386

7 × 145188

9 × 112924

12 × 84693

14 × 72594

18 × 56462

21 × 48396

28 × 36297

36 × 28231

37 × 27468

42 × 24198

63 × 16132

74 × 13734

84 × 12099

109 × 9324

111 × 9156

126 × 8066

148 × 6867

218 × 4662

222 × 4578

252 × 4033

259 × 3924

327 × 3108

333 × 3052

436 × 2331

444 × 2289

518 × 1962

654 × 1554

666 × 1526

763 × 1332

777 × 1308

981 × 1036

First multiples

1,016,316 · 2,032,632 (double) · 3,048,948 · 4,065,264 · 5,081,580 · 6,097,896 · 7,114,212 · 8,130,528 · 9,146,844 · 10,163,160

Sums & aliquot sequence

As consecutive integers: 338,771 + 338,772 + 338,773 145,185 + 145,186 + … + 145,191 127,036 + 127,037 + … + 127,043 112,920 + 112,921 + … + 112,928

Aliquot sequence: 1,016,316 → 2,026,724 → 2,026,780 → 3,005,156 → 3,608,668 → 3,628,828 → 4,132,772 → 4,218,844 → 4,587,044 → 5,646,172 → 5,848,220 → 8,579,620 → 12,011,804 → 12,115,684 → 12,356,764 → 13,658,596 → 15,242,780 — unresolved within range

Continued fraction of √n

√1,016,316 = [1008; (8, 2016)]

Period length 2 — the block in parentheses repeats forever.

Representations

In words: one million sixteen thousand three hundred sixteen
Ordinal: 1016316th
Binary: 11111000000111111100
Octal: 3700774
Hexadecimal: 0xF81FC
Base64: D4H8
One's complement: 4,293,950,979 (32-bit)
Scientific notation: 1.016316 × 10⁶
As a duration: 1,016,316 s = 11 days, 18 hours, 18 minutes, 36 seconds

In other bases

ternary (3) 1220122010100

quaternary (4) 3320013330

quinary (5) 230010231

senary (6) 33441100

septenary (7) 11432010

nonary (9) 1818110

undecimal (11) 634634

duodecimal (12) 410190

tridecimal (13) 297792

tetradecimal (14) 1c6540

pentadecimal (15) 1511e6

Palindromic in base 13

As an angle

1,016,316° = 2,823 × 360° + 36°

36° ≈ 0.628 rad

Compass bearing: NE (northeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓁨𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Chinese: 一百零一萬六千三百一十六
Chinese (financial): 壹佰零壹萬陸仟參佰壹拾陸

In other modern scripts

Eastern Arabic ١٠١٦٣١٦ Devanagari १०१६३१६ Bengali ১০১৬৩১৬ Tamil ௧௦௧௬௩௧௬ Thai ๑๐๑๖๓๑๖ Tibetan ༡༠༡༦༣༡༦ Khmer ១០១៦៣១៦ Lao ໑໐໑໖໓໑໖ Burmese ၁၀၁၆၃၁၆

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1016316, here are decompositions:

13 + 1016303 = 1016316
53 + 1016263 = 1016316
79 + 1016237 = 1016316
89 + 1016227 = 1016316
113 + 1016203 = 1016316
157 + 1016159 = 1016316
163 + 1016153 = 1016316
173 + 1016143 = 1016316

Showing the first eight; more decompositions exist.

Hex color

#0F81FC

RGB(15, 129, 252)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.129.252.

Address: 0.15.129.252
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.129.252

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

Possible date

Could be parsed as a date. Most likely interpretation: Saturday, January 1, 6316 (MDDYYYY (US, single-digit month)).

Other possible interpretations (2)

6316-10-01 (MMDYYYY (US, single-digit day))
6316-01-10 (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 1,016,316 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 US1,016,316 on Google Patents ↗ Look up on USPTO ↗