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1,044,384

1,044,384 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.).

1,044,384 (one million forty-four thousand three hundred eighty-four) is an even 7-digit number. It is a composite number with 96 divisors, and factors as 2⁵ × 3 × 11 × 23 × 43. Its proper divisors sum to 2,148,960, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xFEFA0.

Abundant Number Arithmetic Number Harshad / Niven Odious Number Pernicious Number Practical Number Refactorable Number Weird Number

Interestingness

Properties

Parity
Even
Digit count
7
Digit sum
24
Digit product
0
Digital root
6
Palindrome
No
Bit width
20 bits
Reversed
4,834,401
Square (n²)
1,090,737,939,456
Cube (n³)
1,139,149,252,160,815,104
Divisor count
96
σ(n) — sum of divisors
3,193,344
φ(n) — Euler's totient
295,680
Sum of prime factors
90

Primality

Prime factorization: 2 5 × 3 × 11 × 23 × 43

Nearest primes: 1,044,383 (−1) · 1,044,391 (+7)

Divisors & multiples

All divisors (96)
1 · 2 · 3 · 4 · 6 · 8 · 11 · 12 · 16 · 22 · 23 · 24 · 32 · 33 · 43 · 44 · 46 · 48 · 66 · 69 · 86 · 88 · 92 · 96 · 129 · 132 · 138 · 172 · 176 · 184 · 253 · 258 · 264 · 276 · 344 · 352 · 368 · 473 · 506 · 516 · 528 · 552 · 688 · 736 · 759 · 946 · 989 · 1012 · 1032 · 1056 · 1104 · 1376 · 1419 · 1518 · 1892 · 1978 · 2024 · 2064 · 2208 · 2838 · 2967 · 3036 · 3784 · 3956 · 4048 · 4128 · 5676 · 5934 · 6072 · 7568 · 7912 · 8096 · 10879 · 11352 · 11868 · 12144 · 15136 · 15824 · 21758 · 22704 · 23736 · 24288 · 31648 · 32637 · 43516 · 45408 · 47472 · 65274 · 87032 · 94944 · 130548 · 174064 · 261096 · 348128 · 522192 (half) · 1044384
Aliquot sum (sum of proper divisors): 2,148,960
Factor pairs (a × b = 1,044,384)
1 × 1044384
2 × 522192
3 × 348128
4 × 261096
6 × 174064
8 × 130548
11 × 94944
12 × 87032
16 × 65274
22 × 47472
23 × 45408
24 × 43516
32 × 32637
33 × 31648
43 × 24288
44 × 23736
46 × 22704
48 × 21758
66 × 15824
69 × 15136
86 × 12144
88 × 11868
92 × 11352
96 × 10879
129 × 8096
132 × 7912
138 × 7568
172 × 6072
176 × 5934
184 × 5676
253 × 4128
258 × 4048
264 × 3956
276 × 3784
344 × 3036
352 × 2967
368 × 2838
473 × 2208
506 × 2064
516 × 2024
528 × 1978
552 × 1892
688 × 1518
736 × 1419
759 × 1376
946 × 1104
989 × 1056
1012 × 1032
First multiples
1,044,384 · 2,088,768 (double) · 3,133,152 · 4,177,536 · 5,221,920 · 6,266,304 · 7,310,688 · 8,355,072 · 9,399,456 · 10,443,840

Sums & aliquot sequence

As consecutive integers: 348,127 + 348,128 + 348,129 94,939 + 94,940 + … + 94,949 45,397 + 45,398 + … + 45,419 31,632 + 31,633 + … + 31,664
Aliquot sequence: 1,044,384 2,148,960 5,492,688 9,048,048 14,450,448 22,880,000 44,167,288 47,278,472 44,228,728 39,633,272 48,648,328 43,129,352 49,290,808 59,191,592 51,792,658 26,609,402 13,678,054 — unresolved within range

Continued fraction of √n

√1,044,384 = [1021; (1, 19, 2, 3, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 3, 1, 1, 2, 5, 3, 1, 2, 5, …)]

Representations

In words
one million forty-four thousand three hundred eighty-four
Ordinal
1044384th
Binary
11111110111110100000
Octal
3767640
Hexadecimal
0xFEFA0
Base64
D++g
One's complement
4,293,922,911 (32-bit)
Scientific notation
1.044384 × 10⁶
As a duration
1,044,384 s = 12 days, 2 hours, 6 minutes, 24 seconds
In other bases
ternary (3) 1222001121220
quaternary (4) 3332332200
quinary (5) 231410014
senary (6) 34215040
septenary (7) 11606565
nonary (9) 1861556
undecimal (11) 653730
duodecimal (12) 424480
tridecimal (13) 2a74a3
tetradecimal (14) 1d286c
pentadecimal (15) 1596a9

As an angle

1,044,384° = 2,901 × 360° + 24°
24° ≈ 0.419 rad
Compass bearing: NNE (north-northeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋 𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓁨𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Chinese
一百零四萬四千三百八十四
Chinese (financial)
壹佰零肆萬肆仟參佰捌拾肆
In other modern scripts
Eastern Arabic ١٠٤٤٣٨٤ Devanagari १०४४३८४ Bengali ১০৪৪৩৮৪ Tamil ௧௦௪௪௩௮௪ Thai ๑๐๔๔๓๘๔ Tibetan ༡༠༤༤༣༨༤ Khmer ១០៤៤៣៨៤ Lao ໑໐໔໔໓໘໔ Burmese ၁၀၄၄၃၈၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1044384, here are decompositions:

  • 13 + 1044371 = 1044384
  • 17 + 1044367 = 1044384
  • 31 + 1044353 = 1044384
  • 37 + 1044347 = 1044384
  • 41 + 1044343 = 1044384
  • 97 + 1044287 = 1044384
  • 101 + 1044283 = 1044384
  • 113 + 1044271 = 1044384

Showing the first eight; more decompositions exist.

Hex color
#0FEFA0
RGB(15, 239, 160)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.239.160.

Address
0.15.239.160
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.239.160

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

Possible date

Could be parsed as a date. Most likely interpretation: Wednesday, January 4, 4384 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)
  • 4384-04-01 (DMMYYYY (Euro, single-digit day))
  • 4384-10-04 (MMDYYYY (US, single-digit day))
  • 4384-04-10 (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 1,044,384 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°.