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1,054,564

1,054,564 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.).

1,054,564 (one million fifty-four thousand five hundred sixty-four) is an even 7-digit number. It is a composite number with 12 divisors, and factors as 2² × 7 × 37,663. Its proper divisors sum to 1,054,620, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x101764.

Abundant Number Cube-Free Evil Number Gapful Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
7
Digit sum
25
Digit product
0
Digital root
7
Palindrome
No
Bit width
21 bits
Reversed
4,654,501
Square (n²)
1,112,105,230,096
Cube (n³)
1,172,786,139,870,958,144
Divisor count
12
σ(n) — sum of divisors
2,109,184
φ(n) — Euler's totient
451,944
Sum of prime factors
37,674

Primality

Prime factorization: 2 2 × 7 × 37663

Nearest primes: 1,054,549 (−15) · 1,054,577 (+13)

Divisors & multiples

All divisors (12)
1 · 2 · 4 · 7 · 14 · 28 · 37663 · 75326 · 150652 · 263641 · 527282 (half) · 1054564
Aliquot sum (sum of proper divisors): 1,054,620
Factor pairs (a × b = 1,054,564)
1 × 1054564
2 × 527282
4 × 263641
7 × 150652
14 × 75326
28 × 37663
First multiples
1,054,564 · 2,109,128 (double) · 3,163,692 · 4,218,256 · 5,272,820 · 6,327,384 · 7,381,948 · 8,436,512 · 9,491,076 · 10,545,640

Sums & aliquot sequence

As consecutive integers: 150,649 + 150,650 + … + 150,655 131,817 + 131,818 + … + 131,824 18,804 + 18,805 + … + 18,859
Aliquot sequence: 1,054,564 1,054,620 2,859,108 4,863,516 8,106,084 16,558,556 16,558,612 19,366,508 19,366,564 20,058,626 14,414,974 11,712,386 8,410,174 4,996,226 2,508,478 1,815,842 1,361,758 — unresolved within range

Continued fraction of √n

√1,054,564 = [1026; (1, 11, 2, 4, 3, 3, 1, 30, 1, 4, 1, 6, 2, 10, 5, 1, 2, 4, 2, 4, 7, 2, 1, 4, …)]

Representations

In words
one million fifty-four thousand five hundred sixty-four
Ordinal
1054564th
Binary
100000001011101100100
Octal
4013544
Hexadecimal
0x101764
Base64
EBdk
One's complement
4,293,912,731 (32-bit)
Scientific notation
1.054564 × 10⁶
As a duration
1,054,564 s = 12 days, 4 hours, 56 minutes, 4 seconds
In other bases
ternary (3) 1222120120221
quaternary (4) 10001131210
quinary (5) 232221224
senary (6) 34334124
septenary (7) 11651350
nonary (9) 1876527
undecimal (11) 660345
duodecimal (12) 42a344
tridecimal (13) 2ac004
tetradecimal (14) 1d6460
pentadecimal (15) 15c6e4

As an angle

1,054,564° = 2,929 × 360° + 124°
124° ≈ 2.164 rad
Compass bearing: SE (southeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓁨𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Chinese
一百零五萬四千五百六十四
Chinese (financial)
壹佰零伍萬肆仟伍佰陸拾肆
In other modern scripts
Eastern Arabic ١٠٥٤٥٦٤ Devanagari १०५४५६४ Bengali ১০৫৪৫৬৪ Tamil ௧௦௫௪௫௬௪ Thai ๑๐๕๔๕๖๔ Tibetan ༡༠༥༤༥༦༤ Khmer ១០៥៤៥៦៤ Lao ໑໐໕໔໕໖໔ Burmese ၁၀၅၄၅၆၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1054564, here are decompositions:

  • 41 + 1054523 = 1054564
  • 47 + 1054517 = 1054564
  • 107 + 1054457 = 1054564
  • 191 + 1054373 = 1054564
  • 227 + 1054337 = 1054564
  • 233 + 1054331 = 1054564
  • 263 + 1054301 = 1054564
  • 317 + 1054247 = 1054564

Showing the first eight; more decompositions exist.

Hex color
#101764
RGB(16, 23, 100)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.16.23.100.

Address
0.16.23.100
Class
reserved
IPv4-mapped IPv6
::ffff:0.16.23.100

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

Possible date

Could be parsed as a date. Most likely interpretation: Thursday, January 5, 4564 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)
  • 4564-05-01 (DMMYYYY (Euro, single-digit day))
  • 4564-10-05 (MMDYYYY (US, single-digit day))
  • 4564-05-10 (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 1,054,564 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°.