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1,041,564

1,041,564 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.).

1,041,564 (one million forty-one thousand five hundred sixty-four) is an even 7-digit number. It is a composite number with 48 divisors, and factors as 2² × 3 × 29 × 41 × 73. Its proper divisors sum to 1,569,156, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xFE49C.

Abundant Number Arithmetic Number Cube-Free Evil Number Practical Number Self Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
7
Digit sum
21
Digit product
0
Digital root
3
Palindrome
No
Bit width
20 bits
Reversed
4,651,401
Square (n²)
1,084,855,566,096
Cube (n³)
1,129,946,502,845,214,144
Divisor count
48
σ(n) — sum of divisors
2,610,720
φ(n) — Euler's totient
322,560
Sum of prime factors
150

Primality

Prime factorization: 2 2 × 3 × 29 × 41 × 73

Nearest primes: 1,041,563 (−1) · 1,041,571 (+7)

Divisors & multiples

All divisors (48)
1 · 2 · 3 · 4 · 6 · 12 · 29 · 41 · 58 · 73 · 82 · 87 · 116 · 123 · 146 · 164 · 174 · 219 · 246 · 292 · 348 · 438 · 492 · 876 · 1189 · 2117 · 2378 · 2993 · 3567 · 4234 · 4756 · 5986 · 6351 · 7134 · 8468 · 8979 · 11972 · 12702 · 14268 · 17958 · 25404 · 35916 · 86797 · 173594 · 260391 · 347188 · 520782 (half) · 1041564
Aliquot sum (sum of proper divisors): 1,569,156
Factor pairs (a × b = 1,041,564)
1 × 1041564
2 × 520782
3 × 347188
4 × 260391
6 × 173594
12 × 86797
29 × 35916
41 × 25404
58 × 17958
73 × 14268
82 × 12702
87 × 11972
116 × 8979
123 × 8468
146 × 7134
164 × 6351
174 × 5986
219 × 4756
246 × 4234
292 × 3567
348 × 2993
438 × 2378
492 × 2117
876 × 1189
First multiples
1,041,564 · 2,083,128 (double) · 3,124,692 · 4,166,256 · 5,207,820 · 6,249,384 · 7,290,948 · 8,332,512 · 9,374,076 · 10,415,640

Sums & aliquot sequence

As consecutive integers: 347,187 + 347,188 + 347,189 130,192 + 130,193 + … + 130,199 43,387 + 43,388 + … + 43,410 35,902 + 35,903 + … + 35,930
Aliquot sequence: 1,041,564 1,569,156 2,178,588 2,904,812 2,208,268 1,700,252 1,404,724 1,111,020 2,000,004 2,666,700 5,694,744 10,680,216 17,592,024 29,179,176 49,380,984 85,286,016 162,901,404 — unresolved within range

Continued fraction of √n

√1,041,564 = [1020; (1, 1, 3, 20, 7, 1, 21, 3, 4, 1, 1, 5, 3, 2, 1, 2, 2, 1, 1, 3, 3, 1, 2, 5, …)]

Representations

In words
one million forty-one thousand five hundred sixty-four
Ordinal
1041564th
Binary
11111110010010011100
Octal
3762234
Hexadecimal
0xFE49C
Base64
D+Sc
One's complement
4,293,925,731 (32-bit)
Scientific notation
1.041564 × 10⁶
As a duration
1,041,564 s = 12 days, 1 hour, 19 minutes, 24 seconds
In other bases
ternary (3) 1221220202110
quaternary (4) 3332102130
quinary (5) 231312224
senary (6) 34154020
septenary (7) 11565426
nonary (9) 1856673
undecimal (11) 6515a7
duodecimal (12) 422910
tridecimal (13) 2a6114
tetradecimal (14) 1d1816
pentadecimal (15) 158929

As an angle

1,041,564° = 2,893 × 360° + 84°
84° ≈ 1.466 rad
Compass bearing: E (east)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓁨𓂍𓂍𓂍𓂍𓆼𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Chinese
一百零四萬一千五百六十四
Chinese (financial)
壹佰零肆萬壹仟伍佰陸拾肆
In other modern scripts
Eastern Arabic ١٠٤١٥٦٤ Devanagari १०४१५६४ Bengali ১০৪১৫৬৪ Tamil ௧௦௪௧௫௬௪ Thai ๑๐๔๑๕๖๔ Tibetan ༡༠༤༡༥༦༤ Khmer ១០៤១៥៦៤ Lao ໑໐໔໑໕໖໔ Burmese ၁၀၄၁၅၆၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1041564, here are decompositions:

  • 5 + 1041559 = 1041564
  • 11 + 1041553 = 1041564
  • 47 + 1041517 = 1041564
  • 53 + 1041511 = 1041564
  • 67 + 1041497 = 1041564
  • 103 + 1041461 = 1041564
  • 113 + 1041451 = 1041564
  • 137 + 1041427 = 1041564

Showing the first eight; more decompositions exist.

Hex color
#0FE49C
RGB(15, 228, 156)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.228.156.

Address
0.15.228.156
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.228.156

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

Possible date

Could be parsed as a date. Most likely interpretation: Saturday, January 4, 1564 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)
  • 1564-04-01 (DMMYYYY (Euro, single-digit day))
  • 1564-10-04 (MMDYYYY (US, single-digit day))
  • 1564-04-10 (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 1,041,564 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°.