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1,004,344

1,004,344 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.).

1,004,344 (one million four thousand three hundred forty-four) is an even 7-digit number. It is a composite number with 32 divisors, and factors as 2³ × 11 × 101 × 113. Its proper divisors sum to 1,088,696, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF5338.

Abundant Number Odious Number Pernicious Number Practical Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
7
Digit sum
16
Digit product
0
Digital root
7
Palindrome
No
Bit width
20 bits
Reversed
4,434,001
Square (n²)
1,008,706,870,336
Cube (n³)
1,013,088,692,980,739,584
Divisor count
32
σ(n) — sum of divisors
2,093,040
φ(n) — Euler's totient
448,000
Sum of prime factors
231

Primality

Prime factorization: 2 3 × 11 × 101 × 113

Nearest primes: 1,004,323 (−21) · 1,004,363 (+19)

Divisors & multiples

All divisors (32)
1 · 2 · 4 · 8 · 11 · 22 · 44 · 88 · 101 · 113 · 202 · 226 · 404 · 452 · 808 · 904 · 1111 · 1243 · 2222 · 2486 · 4444 · 4972 · 8888 · 9944 · 11413 · 22826 · 45652 · 91304 · 125543 · 251086 · 502172 (half) · 1004344
Aliquot sum (sum of proper divisors): 1,088,696
Factor pairs (a × b = 1,004,344)
1 × 1004344
2 × 502172
4 × 251086
8 × 125543
11 × 91304
22 × 45652
44 × 22826
88 × 11413
101 × 9944
113 × 8888
202 × 4972
226 × 4444
404 × 2486
452 × 2222
808 × 1243
904 × 1111
First multiples
1,004,344 · 2,008,688 (double) · 3,013,032 · 4,017,376 · 5,021,720 · 6,026,064 · 7,030,408 · 8,034,752 · 9,039,096 · 10,043,440

Sums & aliquot sequence

As consecutive integers: 91,299 + 91,300 + … + 91,309 62,764 + 62,765 + … + 62,779 9,894 + 9,895 + … + 9,994 8,832 + 8,833 + … + 8,944
Aliquot sequence: 1,004,344 1,088,696 1,244,344 1,111,856 1,042,396 789,084 1,294,452 2,061,264 3,263,792 4,454,464 5,876,224 6,399,776 6,495,568 7,342,832 9,236,464 8,659,216 8,118,046 — unresolved within range

Continued fraction of √n

√1,004,344 = [1002; (5, 1, 8, 2, 22, 1, 1, 3, 2, 1, 37, 1, 5, 1, 1, 1, 3, 1, 1, 1, 2, 1, 1, 1, …)]

Representations

In words
one million four thousand three hundred forty-four
Ordinal
1004344th
Binary
11110101001100111000
Octal
3651470
Hexadecimal
0xF5338
Base64
D1M4
One's complement
4,293,962,951 (32-bit)
Scientific notation
1.004344 × 10⁶
As a duration
1,004,344 s = 11 days, 14 hours, 59 minutes, 4 seconds
In other bases
ternary (3) 1220000200221
quaternary (4) 3311030320
quinary (5) 224114334
senary (6) 33305424
septenary (7) 11352055
nonary (9) 1800627
undecimal (11) 626640
duodecimal (12) 405274
tridecimal (13) 2921b3
tetradecimal (14) 1c202c
pentadecimal (15) 14c8b4

As an angle

1,004,344° = 2,789 × 360° + 304°
304° ≈ 5.306 rad
Compass bearing: NW (northwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓁨𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Chinese
一百萬四千三百四十四
Chinese (financial)
壹佰萬肆仟參佰肆拾肆
In other modern scripts
Eastern Arabic ١٠٠٤٣٤٤ Devanagari १००४३४४ Bengali ১০০৪৩৪৪ Tamil ௧௦௦௪௩௪௪ Thai ๑๐๐๔๓๔๔ Tibetan ༡༠༠༤༣༤༤ Khmer ១០០៤៣៤៤ Lao ໑໐໐໔໓໔໔ Burmese ၁၀၀၄၃၄၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1004344, here are decompositions:

  • 41 + 1004303 = 1004344
  • 71 + 1004273 = 1004344
  • 227 + 1004117 = 1004344
  • 281 + 1004063 = 1004344
  • 311 + 1004033 = 1004344
  • 317 + 1004027 = 1004344
  • 401 + 1003943 = 1004344
  • 431 + 1003913 = 1004344

Showing the first eight; more decompositions exist.

Hex color
#0F5338
RGB(15, 83, 56)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.83.56.

Address
0.15.83.56
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.83.56

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

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 1,004,344 and was likely granted around 1911.

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°.