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1,051,984

1,051,984 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.).

1,051,984 (one million fifty-one thousand nine hundred eighty-four) is an even 7-digit number. It is a composite number with 20 divisors, and factors as 2⁴ × 37 × 1,777. Written other ways, in hexadecimal, 0x100D50.

Deficient Number Evil Number Happy Number

Interestingness

Properties

Parity
Even
Digit count
7
Digit sum
28
Digit product
0
Digital root
1
Palindrome
No
Bit width
21 bits
Reversed
4,891,501
Square (n²)
1,106,670,336,256
Cube (n³)
1,164,199,487,015,931,904
Divisor count
20
σ(n) — sum of divisors
2,094,484
φ(n) — Euler's totient
511,488
Sum of prime factors
1,822

Primality

Prime factorization: 2 4 × 37 × 1777

Nearest primes: 1,051,979 (−5) · 1,051,987 (+3)

Divisors & multiples

All divisors (20)
1 · 2 · 4 · 8 · 16 · 37 · 74 · 148 · 296 · 592 · 1777 · 3554 · 7108 · 14216 · 28432 · 65749 · 131498 · 262996 · 525992 (half) · 1051984
Aliquot sum (sum of proper divisors): 1,042,500
Factor pairs (a × b = 1,051,984)
1 × 1051984
2 × 525992
4 × 262996
8 × 131498
16 × 65749
37 × 28432
74 × 14216
148 × 7108
296 × 3554
592 × 1777
First multiples
1,051,984 · 2,103,968 (double) · 3,155,952 · 4,207,936 · 5,259,920 · 6,311,904 · 7,363,888 · 8,415,872 · 9,467,856 · 10,519,840

Sums & aliquot sequence

As a sum of two squares: 228² + 1,000² = 540² + 872²
As consecutive integers: 32,859 + 32,860 + … + 32,890 28,414 + 28,415 + … + 28,450 297 + 298 + … + 1,480
Aliquot sequence: 1,051,984 1,042,500 2,019,020 2,254,564 2,035,484 1,850,524 1,822,516 1,377,072 2,559,432 3,978,168 6,289,992 10,870,008 17,041,752 45,365,208 84,250,152 183,215,448 351,165,672 — unresolved within range

Continued fraction of √n

√1,051,984 = [1025; (1, 1, 1, 27, 2, 3, 3, 1, 1, 1, 170, 3, 3, 1, 1, 1, 1, 1, 2, 2, 1, 2, 1, 5, …)]

Representations

In words
one million fifty-one thousand nine hundred eighty-four
Ordinal
1051984th
Binary
100000000110101010000
Octal
4006520
Hexadecimal
0x100D50
Base64
EA1Q
One's complement
4,293,915,311 (32-bit)
Scientific notation
1.051984 × 10⁶
As a duration
1,051,984 s = 12 days, 4 hours, 13 minutes, 4 seconds
In other bases
ternary (3) 1222110001101
quaternary (4) 10000311100
quinary (5) 232130414
senary (6) 34314144
septenary (7) 11641003
nonary (9) 1873041
undecimal (11) 65940a
duodecimal (12) 428954
tridecimal (13) 2aaa9b
tetradecimal (14) 1d553a
pentadecimal (15) 15ba74

As an angle

1,051,984° = 2,922 × 360° + 64°
64° ≈ 1.117 rad
Compass bearing: ENE (east-northeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹 𒌋𒁹𒁹𒁹 𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓁨𓂍𓂍𓂍𓂍𓂍𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Chinese
一百零五萬一千九百八十四
Chinese (financial)
壹佰零伍萬壹仟玖佰捌拾肆
In other modern scripts
Eastern Arabic ١٠٥١٩٨٤ Devanagari १०५१९८४ Bengali ১০৫১৯৮৪ Tamil ௧௦௫௧௯௮௪ Thai ๑๐๕๑๙๘๔ Tibetan ༡༠༥༡༩༨༤ Khmer ១០៥១៩៨៤ Lao ໑໐໕໑໙໘໔ Burmese ၁၀၅၁၉၈၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1051984, here are decompositions:

  • 5 + 1051979 = 1051984
  • 23 + 1051961 = 1051984
  • 71 + 1051913 = 1051984
  • 137 + 1051847 = 1051984
  • 173 + 1051811 = 1051984
  • 383 + 1051601 = 1051984
  • 431 + 1051553 = 1051984
  • 503 + 1051481 = 1051984

Showing the first eight; more decompositions exist.

Hex color
#100D50
RGB(16, 13, 80)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.16.13.80.

Address
0.16.13.80
Class
reserved
IPv4-mapped IPv6
::ffff:0.16.13.80

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

Possible date

Could be parsed as a date. Most likely interpretation: Thursday, January 5, 1984 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)
  • 1984-05-01 (DMMYYYY (Euro, single-digit day))
  • 1984-10-05 (MMDYYYY (US, single-digit day))
  • 1984-05-10 (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 1,051,984 and was likely granted around 1912.

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°.