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1,051,664

1,051,664 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.).

1,051,664 (one million fifty-one thousand six hundred sixty-four) is an even 7-digit number. It is a composite number with 10 divisors, and factors as 2⁴ × 65,729. Written other ways, in hexadecimal, 0x100C10.

Arithmetic Number Deficient Number Evil Number

Interestingness

Properties

Parity
Even
Digit count
7
Digit sum
23
Digit product
0
Digital root
5
Palindrome
No
Bit width
21 bits
Reversed
4,661,501
Square (n²)
1,105,997,168,896
Cube (n³)
1,163,137,406,629,842,944
Divisor count
10
σ(n) — sum of divisors
2,037,630
φ(n) — Euler's totient
525,824
Sum of prime factors
65,737

Primality

Prime factorization: 2 4 × 65729

Nearest primes: 1,051,663 (−1) · 1,051,697 (+33)

Divisors & multiples

All divisors (10)
1 · 2 · 4 · 8 · 16 · 65729 · 131458 · 262916 · 525832 (half) · 1051664
Aliquot sum (sum of proper divisors): 985,966
Factor pairs (a × b = 1,051,664)
1 × 1051664
2 × 525832
4 × 262916
8 × 131458
16 × 65729
First multiples
1,051,664 · 2,103,328 (double) · 3,154,992 · 4,206,656 · 5,258,320 · 6,309,984 · 7,361,648 · 8,413,312 · 9,464,976 · 10,516,640

Sums & aliquot sequence

As a sum of two squares: 260² + 992²
As consecutive integers: 32,849 + 32,850 + … + 32,880
Aliquot sequence: 1,051,664 985,966 615,890 605,050 520,436 520,492 558,068 617,932 662,228 685,804 710,696 885,874 587,822 372,178 188,702 94,354 66,926 — unresolved within range

Continued fraction of √n

√1,051,664 = [1025; (1, 1, 36, 1, 3, 1, 3, 1, 1, 1, 15, 1, 1, 31, 25, 1, 13, 2, 1, 1, 1, 1, 1, 10, …)]

Period length 50 — the block in parentheses repeats forever.

Representations

In words
one million fifty-one thousand six hundred sixty-four
Ordinal
1051664th
Binary
100000000110000010000
Octal
4006020
Hexadecimal
0x100C10
Base64
EAwQ
One's complement
4,293,915,631 (32-bit)
Scientific notation
1.051664 × 10⁶
As a duration
1,051,664 s = 12 days, 4 hours, 7 minutes, 44 seconds
In other bases
ternary (3) 1222102121112
quaternary (4) 10000300100
quinary (5) 232123124
senary (6) 34312452
septenary (7) 11640035
nonary (9) 1872545
undecimal (11) 659149
duodecimal (12) 428728
tridecimal (13) 2aa8b3
tetradecimal (14) 1d538c
pentadecimal (15) 15b90e

As an angle

1,051,664° = 2,921 × 360° + 104°
104° ≈ 1.815 rad
Compass bearing: ESE (east-southeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓁨𓂍𓂍𓂍𓂍𓂍𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Chinese
一百零五萬一千六百六十四
Chinese (financial)
壹佰零伍萬壹仟陸佰陸拾肆
In other modern scripts
Eastern Arabic ١٠٥١٦٦٤ Devanagari १०५१६६४ Bengali ১০৫১৬৬৪ Tamil ௧௦௫௧௬௬௪ Thai ๑๐๕๑๖๖๔ Tibetan ༡༠༥༡༦༦༤ Khmer ១០៥១៦៦៤ Lao ໑໐໕໑໖໖໔ Burmese ၁၀၅၁၆၆၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1051664, here are decompositions:

  • 43 + 1051621 = 1051664
  • 73 + 1051591 = 1051664
  • 157 + 1051507 = 1051664
  • 193 + 1051471 = 1051664
  • 241 + 1051423 = 1051664
  • 331 + 1051333 = 1051664
  • 373 + 1051291 = 1051664
  • 487 + 1051177 = 1051664

Showing the first eight; more decompositions exist.

Hex color
#100C10
RGB(16, 12, 16)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.16.12.16.

Address
0.16.12.16
Class
reserved
IPv4-mapped IPv6
::ffff:0.16.12.16

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

Possible date

Could be parsed as a date. Most likely interpretation: Saturday, January 5, 1664 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)
  • 1664-05-01 (DMMYYYY (Euro, single-digit day))
  • 1664-10-05 (MMDYYYY (US, single-digit day))
  • 1664-05-10 (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 1,051,664 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°.