Live analysis

1,050,096

1,050,096 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.).

1,050,096 (one million fifty thousand ninety-six) is an even 7-digit number. It is a composite number with 40 divisors, and factors as 2⁴ × 3 × 131 × 167. Its proper divisors sum to 1,699,728, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1005F0.

Abundant Number Gapful Number Odious Number Pernicious Number Semiperfect Number

Interestingness

★ ☆ ☆ ☆ ☆

2 notable facts · grade F

1,050,084 1,050,085 1,050,086 1,050,087 1,050,088 1,050,089 1,050,090 1,050,091 1,050,092 1,050,093 1,050,094 1,050,095 1,050,096 1,050,097 1,050,098 1,050,099 1,050,100 1,050,101 1,050,102 1,050,103 1,050,104 1,050,105 1,050,106 1,050,107 1,050,108

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 21
Digit product: 0
Digital root: 3
Palindrome: No
Bit width: 21 bits
Reversed: 6,900,501
Square (n²): 1,102,701,609,216
Cube (n³): 1,157,942,549,031,284,736
Divisor count: 40
σ(n) — sum of divisors: 2,749,824
φ(n) — Euler's totient: 345,280
Sum of prime factors: 309

Primality

Prime factorization: 2 ⁴ × 3 × 131 × 167

Nearest primes: 1,050,083 (−13) · 1,050,139 (+43)

Divisors & multiples

All divisors (40)

1 · 2 · 3 · 4 · 6 · 8 · 12 · 16 · 24 · 48 · 131 · 167 · 262 · 334 · 393 · 501 · 524 · 668 · 786 · 1002 · 1048 · 1336 · 1572 · 2004 · 2096 · 2672 · 3144 · 4008 · 6288 · 8016 · 21877 · 43754 · 65631 · 87508 · 131262 · 175016 · 262524 · 350032 · 525048 (half) · 1050096

Aliquot sum (sum of proper divisors): 1,699,728

Factor pairs (a × b = 1,050,096)

1 × 1050096

2 × 525048

3 × 350032

4 × 262524

6 × 175016

8 × 131262

12 × 87508

16 × 65631

24 × 43754

48 × 21877

131 × 8016

167 × 6288

262 × 4008

334 × 3144

393 × 2672

501 × 2096

524 × 2004

668 × 1572

786 × 1336

1002 × 1048

First multiples

1,050,096 · 2,100,192 (double) · 3,150,288 · 4,200,384 · 5,250,480 · 6,300,576 · 7,350,672 · 8,400,768 · 9,450,864 · 10,500,960

Sums & aliquot sequence

As consecutive integers: 350,031 + 350,032 + 350,033 32,800 + 32,801 + … + 32,831 10,891 + 10,892 + … + 10,986 7,951 + 7,952 + … + 8,081

Aliquot sequence: 1,050,096 → 1,699,728 → 2,951,760 → 7,735,056 → 15,102,768 → 23,912,840 → 39,107,320 → 66,761,480 → 91,134,520 → 114,235,400 → 152,719,240 → 190,899,140 → 209,989,096 → 183,740,474 → 95,752,294 → 60,933,314 → 37,497,466 — unresolved within range

Continued fraction of √n

√1,050,096 = [1024; (1, 2, 1, 6, 1, 61, 4, 3, 1, 4, 4, 16, 1, 2, 2, 1, 28, 6, 21, 2, 2, 4, 1, 2, …)]

Period length 60 — the block in parentheses repeats forever.

Representations

In words: one million fifty thousand ninety-six
Ordinal: 1050096th
Binary: 100000000010111110000
Octal: 4002760
Hexadecimal: 0x1005F0
Base64: EAXw
One's complement: 4,293,917,199 (32-bit)
Scientific notation: 1.050096 × 10⁶
As a duration: 1,050,096 s = 12 days, 3 hours, 41 minutes, 36 seconds

In other bases

ternary (3) 1222100110110

quaternary (4) 10000113300

quinary (5) 232100341

senary (6) 34301320

septenary (7) 11632335

nonary (9) 1870413

undecimal (11) 657a53

duodecimal (12) 427840

tridecimal (13) 2a9c78

tetradecimal (14) 1d498c

pentadecimal (15) 15b216

As an angle

1,050,096° = 2,916 × 360° + 336°

336° ≈ 5.864 rad

Compass bearing: NNW (north-northwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹 𒌋𒌋𒌋𒌋𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓁨𓂍𓂍𓂍𓂍𓂍𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Chinese: 一百零五萬零九十六
Chinese (financial): 壹佰零伍萬零玖拾陸

In other modern scripts

Eastern Arabic ١٠٥٠٠٩٦ Devanagari १०५००९६ Bengali ১০৫০০৯৬ Tamil ௧௦௫௦௦௯௬ Thai ๑๐๕๐๐๙๖ Tibetan ༡༠༥༠༠༩༦ Khmer ១០៥០០៩៦ Lao ໑໐໕໐໐໙໖ Burmese ၁၀၅၀၀၉၆

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1050096, here are decompositions:

13 + 1050083 = 1050096
17 + 1050079 = 1050096
43 + 1050053 = 1050096
83 + 1050013 = 1050096
97 + 1049999 = 1050096
197 + 1049899 = 1050096
199 + 1049897 = 1050096
233 + 1049863 = 1050096

Showing the first eight; more decompositions exist.

Hex color

#1005F0

RGB(16, 5, 240)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.16.5.240.

Address: 0.16.5.240
Class: reserved
IPv4-mapped IPv6: ::ffff:0.16.5.240

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

Possible date

Could be parsed as a date. Most likely interpretation: Thursday, January 5, 0096 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)

0096-05-01 (DMMYYYY (Euro, single-digit day))
0096-10-05 (MMDYYYY (US, single-digit day))
0096-05-10 (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 1,050,096 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 US1,050,096 on Google Patents ↗ Look up on USPTO ↗