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1,055,364

1,055,364 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.).

1,055,364 (one million fifty-five thousand three hundred sixty-four) is an even 7-digit number. It is a composite number with 24 divisors, and factors as 2² × 3 × 31 × 2,837. Its proper divisors sum to 1,487,484, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x101A84.

Abundant Number Arithmetic Number Cube-Free Evil Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
7
Digit sum
24
Digit product
0
Digital root
6
Palindrome
No
Bit width
21 bits
Reversed
4,635,501
Square (n²)
1,113,793,172,496
Cube (n³)
1,175,457,217,698,068,544
Divisor count
24
σ(n) — sum of divisors
2,542,848
φ(n) — Euler's totient
340,320
Sum of prime factors
2,875

Primality

Prime factorization: 2 2 × 3 × 31 × 2837

Nearest primes: 1,055,363 (−1) · 1,055,371 (+7)

Divisors & multiples

All divisors (24)
1 · 2 · 3 · 4 · 6 · 12 · 31 · 62 · 93 · 124 · 186 · 372 · 2837 · 5674 · 8511 · 11348 · 17022 · 34044 · 87947 · 175894 · 263841 · 351788 · 527682 (half) · 1055364
Aliquot sum (sum of proper divisors): 1,487,484
Factor pairs (a × b = 1,055,364)
1 × 1055364
2 × 527682
3 × 351788
4 × 263841
6 × 175894
12 × 87947
31 × 34044
62 × 17022
93 × 11348
124 × 8511
186 × 5674
372 × 2837
First multiples
1,055,364 · 2,110,728 (double) · 3,166,092 · 4,221,456 · 5,276,820 · 6,332,184 · 7,387,548 · 8,442,912 · 9,498,276 · 10,553,640

Sums & aliquot sequence

As consecutive integers: 351,787 + 351,788 + 351,789 131,917 + 131,918 + … + 131,924 43,962 + 43,963 + … + 43,985 34,029 + 34,030 + … + 34,059
Aliquot sequence: 1,055,364 → 1,487,484 → 2,401,940 → 2,642,176 → 2,632,366 → 1,675,178 → 985,942 → 569,258 → 288,022 → 214,718 → 162,082 → 81,044 → 60,790 → 48,650 → 55,510 → 69,482 → 51,928 — unresolved within range

Continued fraction of √n

√1,055,364 = [1027; (3, 4, 3, 1, 20, 1, 1, 1, 3, 3, 2, 1, 3, 31, 1, 4, 1, 72, 1, 1, 4, 1, 5, 1, …)]

Representations

In words
one million fifty-five thousand three hundred sixty-four
Ordinal
1055364th
Binary
100000001101010000100
Octal
4015204
Hexadecimal
0x101A84
Base64
EBqE
One's complement
4,293,911,931 (32-bit)
Scientific notation
1.055364 × 10⁶
As a duration
1,055,364 s = 12 days, 5 hours, 9 minutes, 24 seconds
In other bases
ternary (3) 1222121200120
quaternary (4) 10001222010
quinary (5) 232232424
senary (6) 34341540
septenary (7) 11653602
nonary (9) 1877616
undecimal (11) 660a02
duodecimal (12) 42a8b0
tridecimal (13) 2ac49b
tetradecimal (14) 1d6872
pentadecimal (15) 15ca79

As an angle

1,055,364° = 2,931 × 360° + 204°
204° ≈ 3.56 rad
Compass bearing: SSW (south-southwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓁨𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Chinese
一百零五萬五千三百六十四
Chinese (financial)
壹佰零伍萬伍仟參佰陸拾肆
In other modern scripts
Eastern Arabic ١٠٥٥٣٦٤ Devanagari १०५५३६४ Bengali ১০৫৫৩৬৪ Tamil ௧௦௫௫௩௬௪ Thai ๑๐๕๕๓๖๔ Tibetan ༡༠༥༥༣༦༤ Khmer ១០៥៥៣៦៤ Lao ໑໐໕໕໓໖໔ Burmese ၁၀၅၅၃၆၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1055364, here are decompositions:

  • 5 + 1055359 = 1055364
  • 17 + 1055347 = 1055364
  • 43 + 1055321 = 1055364
  • 61 + 1055303 = 1055364
  • 97 + 1055267 = 1055364
  • 103 + 1055261 = 1055364
  • 113 + 1055251 = 1055364
  • 131 + 1055233 = 1055364

Showing the first eight; more decompositions exist.

Hex color
#101A84
RGB(16, 26, 132)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.16.26.132.

Address
0.16.26.132
Class
reserved
IPv4-mapped IPv6
::ffff:0.16.26.132

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

Possible date

Could be parsed as a date. Most likely interpretation: Thursday, January 5, 5364 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)
  • 5364-05-01 (DMMYYYY (Euro, single-digit day))
  • 5364-10-05 (MMDYYYY (US, single-digit day))
  • 5364-05-10 (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 1,055,364 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°.