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1,055,664

1,055,664 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.).

1,055,664 (one million fifty-five thousand six hundred sixty-four) is an even 7-digit number. It is a composite number with 30 divisors, and factors as 2⁴ × 3² × 7,331. Its proper divisors sum to 1,899,132, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x101BB0.

Abundant Number Evil Number Happy Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
7
Digit sum
27
Digit product
0
Digital root
9
Palindrome
No
Bit width
21 bits
Reversed
4,665,501
Square (n²)
1,114,426,480,896
Cube (n³)
1,176,459,916,528,594,944
Divisor count
30
σ(n) — sum of divisors
2,954,796
φ(n) — Euler's totient
351,840
Sum of prime factors
7,345

Primality

Prime factorization: 2 4 × 3 2 × 7331

Nearest primes: 1,055,611 (−53) · 1,055,671 (+7)

Divisors & multiples

All divisors (30)
1 · 2 · 3 · 4 · 6 · 8 · 9 · 12 · 16 · 18 · 24 · 36 · 48 · 72 · 144 · 7331 · 14662 · 21993 · 29324 · 43986 · 58648 · 65979 · 87972 · 117296 · 131958 · 175944 · 263916 · 351888 · 527832 (half) · 1055664
Aliquot sum (sum of proper divisors): 1,899,132
Factor pairs (a × b = 1,055,664)
1 × 1055664
2 × 527832
3 × 351888
4 × 263916
6 × 175944
8 × 131958
9 × 117296
12 × 87972
16 × 65979
18 × 58648
24 × 43986
36 × 29324
48 × 21993
72 × 14662
144 × 7331
First multiples
1,055,664 · 2,111,328 (double) · 3,166,992 · 4,222,656 · 5,278,320 · 6,333,984 · 7,389,648 · 8,445,312 · 9,500,976 · 10,556,640

Sums & aliquot sequence

As consecutive integers: 351,887 + 351,888 + 351,889 117,292 + 117,293 + … + 117,300 32,974 + 32,975 + … + 33,005 10,949 + 10,950 + … + 11,044
Aliquot sequence: 1,055,664 → 1,899,132 → 2,532,204 → 4,078,036 → 3,058,534 → 1,529,270 → 1,416,970 → 1,133,594 → 1,116,262 → 826,010 → 660,826 → 330,416 → 319,096 → 279,224 → 325,576 → 284,894 → 145,354 — unresolved within range

Continued fraction of √n

√1,055,664 = [1027; (2, 5, 14, 2, 63, 1, 2, 1, 2, 1, 11, 1, 1, 2, 1, 127, 1, 2, 1, 1, 11, 1, 2, 1, …)]

Period length 32 — the block in parentheses repeats forever.

Representations

In words
one million fifty-five thousand six hundred sixty-four
Ordinal
1055664th
Binary
100000001101110110000
Octal
4015660
Hexadecimal
0x101BB0
Base64
EBuw
One's complement
4,293,911,631 (32-bit)
Scientific notation
1.055664 × 10⁶
As a duration
1,055,664 s = 12 days, 5 hours, 14 minutes, 24 seconds
In other bases
ternary (3) 1222122002200
quaternary (4) 10001232300
quinary (5) 232240124
senary (6) 34343200
septenary (7) 11654511
nonary (9) 1878080
undecimal (11) 661155
duodecimal (12) 42ab00
tridecimal (13) 2ac66c
tetradecimal (14) 1d6a08
pentadecimal (15) 15cbc9

As an angle

1,055,664° = 2,932 × 360° + 144°
144° ≈ 2.513 rad
Compass bearing: SE (southeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓁨𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Chinese
一百零五萬五千六百六十四
Chinese (financial)
壹佰零伍萬伍仟陸佰陸拾肆
In other modern scripts
Eastern Arabic ١٠٥٥٦٦٤ Devanagari १०५५६६४ Bengali ১০৫৫৬৬৪ Tamil ௧௦௫௫௬௬௪ Thai ๑๐๕๕๖๖๔ Tibetan ༡༠༥༥༦༦༤ Khmer ១០៥៥៦៦៤ Lao ໑໐໕໕໖໖໔ Burmese ၁၀၅၅၆၆၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1055664, here are decompositions:

  • 53 + 1055611 = 1055664
  • 61 + 1055603 = 1055664
  • 67 + 1055597 = 1055664
  • 73 + 1055591 = 1055664
  • 97 + 1055567 = 1055664
  • 163 + 1055501 = 1055664
  • 193 + 1055471 = 1055664
  • 227 + 1055437 = 1055664

Showing the first eight; more decompositions exist.

Hex color
#101BB0
RGB(16, 27, 176)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.16.27.176.

Address
0.16.27.176
Class
reserved
IPv4-mapped IPv6
::ffff:0.16.27.176

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

Possible date

Could be parsed as a date. Most likely interpretation: Saturday, January 5, 5664 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)
  • 5664-05-01 (DMMYYYY (Euro, single-digit day))
  • 5664-10-05 (MMDYYYY (US, single-digit day))
  • 5664-05-10 (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 1,055,664 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°.