Live analysis

1,014,016

1,014,016 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.).

1,014,016 (one million fourteen thousand sixteen) is an even 7-digit number. It is a composite number with 36 divisors, and factors as 2⁸ × 17 × 233. Its proper divisors sum to 1,138,316, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF7900.

Abundant Number Arithmetic Number Gapful Number Odious Number Practical Number Semiperfect Number

Interestingness

★ ★ ☆ ☆ ☆

4 notable facts · grade D

1,014,004 1,014,005 1,014,006 1,014,007 1,014,008 1,014,009 1,014,010 1,014,011 1,014,012 1,014,013 1,014,014 1,014,015 1,014,016 1,014,017 1,014,018 1,014,019 1,014,020 1,014,021 1,014,022 1,014,023 1,014,024 1,014,025 1,014,026 1,014,027 1,014,028

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 13
Digit product: 0
Digital root: 4
Palindrome: No
Bit width: 20 bits
Reversed: 6,104,101
Square (n²): 1,028,228,448,256
Cube (n³): 1,042,640,098,186,756,096
Divisor count: 36
σ(n) — sum of divisors: 2,152,332
φ(n) — Euler's totient: 475,136
Sum of prime factors: 266

Primality

Prime factorization: 2 ⁸ × 17 × 233

Nearest primes: 1,014,007 (−9) · 1,014,029 (+13)

Divisors & multiples

All divisors (36)

1 · 2 · 4 · 8 · 16 · 17 · 32 · 34 · 64 · 68 · 128 · 136 · 233 · 256 · 272 · 466 · 544 · 932 · 1088 · 1864 · 2176 · 3728 · 3961 · 4352 · 7456 · 7922 · 14912 · 15844 · 29824 · 31688 · 59648 · 63376 · 126752 · 253504 · 507008 (half) · 1014016

Aliquot sum (sum of proper divisors): 1,138,316

Factor pairs (a × b = 1,014,016)

1 × 1014016

2 × 507008

4 × 253504

8 × 126752

16 × 63376

17 × 59648

32 × 31688

34 × 29824

64 × 15844

68 × 14912

128 × 7922

136 × 7456

233 × 4352

256 × 3961

272 × 3728

466 × 2176

544 × 1864

932 × 1088

First multiples

1,014,016 · 2,028,032 (double) · 3,042,048 · 4,056,064 · 5,070,080 · 6,084,096 · 7,098,112 · 8,112,128 · 9,126,144 · 10,140,160

Sums & aliquot sequence

As a sum of two squares: 304² + 960² = 704² + 720²

As consecutive integers: 59,640 + 59,641 + … + 59,656 4,236 + 4,237 + … + 4,468 1,725 + 1,726 + … + 2,236

Aliquot sequence: 1,014,016 → 1,138,316 → 940,516 → 777,116 → 591,916 → 523,716 → 763,164 → 1,398,996 → 2,137,446 → 2,493,726 → 2,759,394 → 3,261,246 → 3,645,138 → 4,833,582 → 5,918,418 → 8,301,294 → 9,684,882 — unresolved within range

Continued fraction of √n

√1,014,016 = [1006; (1, 60, 33, 1, 1, 4, 1, 1, 8, 1, 1, 1, 1, 8, 2, 1, 7, 1, 2, 2, 10, 1, 1, 2, …)]

Representations

In words: one million fourteen thousand sixteen
Ordinal: 1014016th
Binary: 11110111100100000000
Octal: 3674400
Hexadecimal: 0xF7900
Base64: D3kA
One's complement: 4,293,953,279 (32-bit)
Scientific notation: 1.014016 × 10⁶
As a duration: 1,014,016 s = 11 days, 17 hours, 40 minutes, 16 seconds

In other bases

ternary (3) 1220111222011

quaternary (4) 3313210000

quinary (5) 224422031

senary (6) 33422304

septenary (7) 11422213

nonary (9) 1814864

undecimal (11) 632933

duodecimal (12) 40a994

tridecimal (13) 296713

tetradecimal (14) 1c577a

pentadecimal (15) 1506b1

As an angle

1,014,016° = 2,816 × 360° + 256°

256° ≈ 4.468 rad

Compass bearing: WSW (west-southwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹 𒌋𒌋𒌋𒌋 𒌋𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓁨𓂍𓆼𓆼𓆼𓆼𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Chinese: 一百零一萬四千零一十六
Chinese (financial): 壹佰零壹萬肆仟零壹拾陸

In other modern scripts

Eastern Arabic ١٠١٤٠١٦ Devanagari १०१४०१६ Bengali ১০১৪০১৬ Tamil ௧௦௧௪௦௧௬ Thai ๑๐๑๔๐๑๖ Tibetan ༡༠༡༤༠༡༦ Khmer ១០១៤០១៦ Lao ໑໐໑໔໐໑໖ Burmese ၁၀၁၄၀၁၆

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1014016, here are decompositions:

23 + 1013993 = 1014016
83 + 1013933 = 1014016
137 + 1013879 = 1014016
173 + 1013843 = 1014016
197 + 1013819 = 1014016
317 + 1013699 = 1014016
389 + 1013627 = 1014016
587 + 1013429 = 1014016

Showing the first eight; more decompositions exist.

Hex color

#0F7900

RGB(15, 121, 0)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.121.0.

Address: 0.15.121.0
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.121.0

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

Possible date

Could be parsed as a date. Most likely interpretation: Friday, January 1, 4016 (MDDYYYY (US, single-digit month)).

Other possible interpretations (2)

4016-10-01 (MMDYYYY (US, single-digit day))
4016-01-10 (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 1,014,016 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 US1,014,016 on Google Patents ↗ Look up on USPTO ↗