Live analysis

1,050,016

1,050,016 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.).

1,050,016 (one million fifty thousand sixteen) is an even 7-digit number. It is a composite number with 48 divisors, and factors as 2⁵ × 11 × 19 × 157. Its proper divisors sum to 1,338,944, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1005A0.

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

Interestingness

★ ★ ☆ ☆ ☆

4 notable facts · grade D

1,050,004 1,050,005 1,050,006 1,050,007 1,050,008 1,050,009 1,050,010 1,050,011 1,050,012 1,050,013 1,050,014 1,050,015 1,050,016 1,050,017 1,050,018 1,050,019 1,050,020 1,050,021 1,050,022 1,050,023 1,050,024 1,050,025 1,050,026 1,050,027 1,050,028

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 13
Digit product: 0
Digital root: 4
Palindrome: No
Bit width: 21 bits
Reversed: 6,100,501
Square (n²): 1,102,533,600,256
Cube (n³): 1,157,677,920,806,404,096
Divisor count: 48
σ(n) — sum of divisors: 2,388,960
φ(n) — Euler's totient: 449,280
Sum of prime factors: 197

Primality

Prime factorization: 2 ⁵ × 11 × 19 × 157

Nearest primes: 1,050,013 (−3) · 1,050,031 (+15)

Divisors & multiples

All divisors (48)

1 · 2 · 4 · 8 · 11 · 16 · 19 · 22 · 32 · 38 · 44 · 76 · 88 · 152 · 157 · 176 · 209 · 304 · 314 · 352 · 418 · 608 · 628 · 836 · 1256 · 1672 · 1727 · 2512 · 2983 · 3344 · 3454 · 5024 · 5966 · 6688 · 6908 · 11932 · 13816 · 23864 · 27632 · 32813 · 47728 · 55264 · 65626 · 95456 · 131252 · 262504 · 525008 (half) · 1050016

Aliquot sum (sum of proper divisors): 1,338,944

Factor pairs (a × b = 1,050,016)

1 × 1050016

2 × 525008

4 × 262504

8 × 131252

11 × 95456

16 × 65626

19 × 55264

22 × 47728

32 × 32813

38 × 27632

44 × 23864

76 × 13816

88 × 11932

152 × 6908

157 × 6688

176 × 5966

209 × 5024

304 × 3454

314 × 3344

352 × 2983

418 × 2512

608 × 1727

628 × 1672

836 × 1256

First multiples

1,050,016 · 2,100,032 (double) · 3,150,048 · 4,200,064 · 5,250,080 · 6,300,096 · 7,350,112 · 8,400,128 · 9,450,144 · 10,500,160

Sums & aliquot sequence

As consecutive integers: 95,451 + 95,452 + … + 95,461 55,255 + 55,256 + … + 55,273 16,375 + 16,376 + … + 16,438 6,610 + 6,611 + … + 6,766

Aliquot sequence: 1,050,016 → 1,338,944 → 1,318,150 → 1,197,314 → 598,660 → 694,100 → 951,628 → 737,052 → 1,084,404 → 1,556,556 → 2,267,124 → 3,022,860 → 5,557,236 → 7,409,676 → 9,879,596 → 7,409,704 → 6,512,396 — unresolved within range

Continued fraction of √n

√1,050,016 = [1024; (1, 2, 2, 1, 2, 1, 3, 3, 3, 1, 1, 9, 1, 1, 1, 2, 2, 1, 1, 5, 1, 24, 2, 4, …)]

Representations

In words: one million fifty thousand sixteen
Ordinal: 1050016th
Binary: 100000000010110100000
Octal: 4002640
Hexadecimal: 0x1005A0
Base64: EAWg
One's complement: 4,293,917,279 (32-bit)
Scientific notation: 1.050016 × 10⁶
As a duration: 1,050,016 s = 12 days, 3 hours, 40 minutes, 16 seconds

In other bases

ternary (3) 1222100100111

quaternary (4) 10000112200

quinary (5) 232100031

senary (6) 34301104

septenary (7) 11632162

nonary (9) 1870314

undecimal (11) 657990

duodecimal (12) 427794

tridecimal (13) 2a9c16

tetradecimal (14) 1d4932

pentadecimal (15) 15b1b1

As an angle

1,050,016° = 2,916 × 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 𒌋𒌋𒌋𒌋𒌋𒁹 𒌋𒌋𒌋𒌋 𒌋𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓁨𓂍𓂍𓂍𓂍𓂍𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Chinese: 一百零五萬零一十六
Chinese (financial): 壹佰零伍萬零壹拾陸

In other modern scripts

Eastern Arabic ١٠٥٠٠١٦ Devanagari १०५००१६ Bengali ১০৫০০১৬ Tamil ௧௦௫௦௦௧௬ Thai ๑๐๕๐๐๑๖ Tibetan ༡༠༥༠༠༡༦ Khmer ១០៥០០១៦ Lao ໑໐໕໐໐໑໖ Burmese ၁၀၅၀၀၁၆

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1050016, here are decompositions:

3 + 1050013 = 1050016
5 + 1050011 = 1050016
17 + 1049999 = 1050016
53 + 1049963 = 1050016
167 + 1049849 = 1050016
173 + 1049843 = 1050016
179 + 1049837 = 1050016
269 + 1049747 = 1050016

Showing the first eight; more decompositions exist.

Hex color

#1005A0

RGB(16, 5, 160)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.16.5.160.

Address: 0.16.5.160
Class: reserved
IPv4-mapped IPv6: ::ffff:0.16.5.160

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

Possible date

Could be parsed as a date. Most likely interpretation: Tuesday, January 5, 0016 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)

0016-05-01 (DMMYYYY (Euro, single-digit day))
0016-10-05 (MMDYYYY (US, single-digit day))
0016-05-10 (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 1,050,016 and was likely granted around 1912.

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

Look up US1,050,016 on Google Patents ↗ Look up on USPTO ↗