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1,002,112

1,002,112 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.).

1,002,112 (one million two thousand one hundred twelve) is an even 7-digit number. It is a composite number with 16 divisors, and factors as 2⁷ × 7,829. Written other ways, in hexadecimal, 0xF4A80.

Deficient Number Evil Number Frugal Number Refactorable Number

Interestingness

Properties

Parity
Even
Digit count
7
Digit sum
7
Digit product
0
Digital root
7
Palindrome
No
Bit width
20 bits
Reversed
2,112,001
Square (n²)
1,004,228,460,544
Cube (n³)
1,006,349,391,052,668,928
Divisor count
16
σ(n) — sum of divisors
1,996,650
φ(n) — Euler's totient
500,992
Sum of prime factors
7,843

Primality

Prime factorization: 2 7 × 7829

Nearest primes: 1,002,109 (−3) · 1,002,121 (+9)

Divisors & multiples

All divisors (16)
1 · 2 · 4 · 8 · 16 · 32 · 64 · 128 · 7829 · 15658 · 31316 · 62632 · 125264 · 250528 · 501056 (half) · 1002112
Aliquot sum (sum of proper divisors): 994,538
Factor pairs (a × b = 1,002,112)
1 × 1002112
2 × 501056
4 × 250528
8 × 125264
16 × 62632
32 × 31316
64 × 15658
128 × 7829
First multiples
1,002,112 · 2,004,224 (double) · 3,006,336 · 4,008,448 · 5,010,560 · 6,012,672 · 7,014,784 · 8,016,896 · 9,019,008 · 10,021,120

Sums & aliquot sequence

As a sum of two squares: 184² + 984²
As consecutive integers: 3,787 + 3,788 + … + 4,042
Aliquot sequence: 1,002,112 994,538 497,272 451,328 493,000 770,600 1,021,510 1,080,026 546,214 273,110 234,922 132,854 68,074 35,354 22,534 13,106 6,556 — unresolved within range

Continued fraction of √n

√1,002,112 = [1001; (18, 27, 2, 1, 2, 3, 5, 6, 1, 14, 1, 1, 1, 14, 1, 1, 30, 1, 3, 3, 1, 1, 5, 1, …)]

Representations

In words
one million two thousand one hundred twelve
Ordinal
1002112th
Binary
11110100101010000000
Octal
3645200
Hexadecimal
0xF4A80
Base64
D0qA
One's complement
4,293,965,183 (32-bit)
Scientific notation
1.002112 × 10⁶
As a duration
1,002,112 s = 11 days, 14 hours, 21 minutes, 52 seconds
In other bases
ternary (3) 1212220122021
quaternary (4) 3310222000
quinary (5) 224031422
senary (6) 33251224
septenary (7) 11342416
nonary (9) 1786567
undecimal (11) 6249a1
duodecimal (12) 403b14
tridecimal (13) 291187
tetradecimal (14) 1c12b6
pentadecimal (15) 14bdc7

As an angle

1,002,112° = 2,783 × 360° + 232°
232° ≈ 4.049 rad
Compass bearing: SW (southwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic
𓁨𓆼𓆼𓍢𓎆𓏺𓏺
Chinese
一百萬二千一百一十二
Chinese (financial)
壹佰萬貳仟壹佰壹拾貳
In other modern scripts
Eastern Arabic ١٠٠٢١١٢ Devanagari १००२११२ Bengali ১০০২১১২ Tamil ௧௦௦௨௧௧௨ Thai ๑๐๐๒๑๑๒ Tibetan ༡༠༠༢༡༡༢ Khmer ១០០២១១២ Lao ໑໐໐໒໑໑໒ Burmese ၁၀၀၂၁၁၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1002112, here are decompositions:

  • 3 + 1002109 = 1002112
  • 11 + 1002101 = 1002112
  • 29 + 1002083 = 1002112
  • 131 + 1001981 = 1002112
  • 179 + 1001933 = 1002112
  • 281 + 1001831 = 1002112
  • 311 + 1001801 = 1002112
  • 389 + 1001723 = 1002112

Showing the first eight; more decompositions exist.

Hex color
#0F4A80
RGB(15, 74, 128)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.74.128.

Address
0.15.74.128
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.74.128

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

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 1,002,112 and was likely granted around 1911.

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

Related reading

  • Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.