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1,044,480

1,044,480 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.).

1,044,480 (one million forty-four thousand four hundred eighty) is an even 7-digit number. It is a composite number with 104 divisors, and factors as 2¹² × 3 × 5 × 17. Its proper divisors sum to 2,494,032, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xFF000.

Abundant Number Evil Number Gapful Number Practical Number Weird Number

Interestingness

Properties

Parity
Even
Digit count
7
Digit sum
21
Digit product
0
Digital root
3
Palindrome
No
Bit width
20 bits
Reversed
844,401
Square (n²)
1,090,938,470,400
Cube (n³)
1,139,463,413,563,392,000
Divisor count
104
σ(n) — sum of divisors
3,538,512
φ(n) — Euler's totient
262,144
Sum of prime factors
49

Primality

Prime factorization: 2 12 × 3 × 5 × 17

Nearest primes: 1,044,479 (−1) · 1,044,509 (+29)

Divisors & multiples

All divisors (104)
1 · 2 · 3 · 4 · 5 · 6 · 8 · 10 · 12 · 15 · 16 · 17 · 20 · 24 · 30 · 32 · 34 · 40 · 48 · 51 · 60 · 64 · 68 · 80 · 85 · 96 · 102 · 120 · 128 · 136 · 160 · 170 · 192 · 204 · 240 · 255 · 256 · 272 · 320 · 340 · 384 · 408 · 480 · 510 · 512 · 544 · 640 · 680 · 768 · 816 · 960 · 1020 · 1024 · 1088 · 1280 · 1360 · 1536 · 1632 · 1920 · 2040 · 2048 · 2176 · 2560 · 2720 · 3072 · 3264 · 3840 · 4080 · 4096 · 4352 · 5120 · 5440 · 6144 · 6528 · 7680 · 8160 · 8704 · 10240 · 10880 · 12288 · 13056 · 15360 · 16320 · 17408 · 20480 · 21760 · 26112 · 30720 · 32640 · 34816 · 43520 · 52224 · 61440 · 65280 · 69632 · 87040 · 104448 · 130560 · 174080 · 208896 · 261120 · 348160 · 522240 (half) · 1044480
Aliquot sum (sum of proper divisors): 2,494,032
Factor pairs (a × b = 1,044,480)
1 × 1044480
2 × 522240
3 × 348160
4 × 261120
5 × 208896
6 × 174080
8 × 130560
10 × 104448
12 × 87040
15 × 69632
16 × 65280
17 × 61440
20 × 52224
24 × 43520
30 × 34816
32 × 32640
34 × 30720
40 × 26112
48 × 21760
51 × 20480
60 × 17408
64 × 16320
68 × 15360
80 × 13056
85 × 12288
96 × 10880
102 × 10240
120 × 8704
128 × 8160
136 × 7680
160 × 6528
170 × 6144
192 × 5440
204 × 5120
240 × 4352
255 × 4096
256 × 4080
272 × 3840
320 × 3264
340 × 3072
384 × 2720
408 × 2560
480 × 2176
510 × 2048
512 × 2040
544 × 1920
640 × 1632
680 × 1536
768 × 1360
816 × 1280
960 × 1088
1020 × 1024
First multiples
1,044,480 · 2,088,960 (double) · 3,133,440 · 4,177,920 · 5,222,400 · 6,266,880 · 7,311,360 · 8,355,840 · 9,400,320 · 10,444,800

Sums & aliquot sequence

As consecutive integers: 348,159 + 348,160 + 348,161 208,894 + 208,895 + 208,896 + 208,897 + 208,898 69,625 + 69,626 + … + 69,639 61,432 + 61,433 + … + 61,448
Aliquot sequence: 1,044,480 2,494,032 4,005,552 6,342,248 6,781,912 6,981,608 6,154,972 4,616,236 3,595,044 4,999,164 6,718,164 9,382,284 15,196,116 24,317,484 32,423,340 58,362,180 108,859,644 — unresolved within range

Continued fraction of √n

√1,044,480 = [1021; (1, 509, 1, 2042)]

Period length 4 — the block in parentheses repeats forever.

Representations

In words
one million forty-four thousand four hundred eighty
Ordinal
1044480th
Binary
11111111000000000000
Octal
3770000
Hexadecimal
0xFF000
Base64
D/AA
One's complement
4,293,922,815 (32-bit)
Scientific notation
1.04448 × 10⁶
As a duration
1,044,480 s = 12 days, 2 hours, 8 minutes
In other bases
ternary (3) 1222001202110
quaternary (4) 3333000000
quinary (5) 231410410
senary (6) 34215320
septenary (7) 11610063
nonary (9) 1861673
undecimal (11) 653808
duodecimal (12) 424540
tridecimal (13) 2a7548
tetradecimal (14) 1d28da
pentadecimal (15) 159720

As an angle

1,044,480° = 2,901 × 360° + 120°
120° ≈ 2.094 rad
Compass bearing: ESE (east-southeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 ·
Egyptian hieroglyphic
𓁨𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆
Chinese
一百零四萬四千四百八十
Chinese (financial)
壹佰零肆萬肆仟肆佰捌拾
In other modern scripts
Eastern Arabic ١٠٤٤٤٨٠ Devanagari १०४४४८० Bengali ১০৪৪৪৮০ Tamil ௧௦௪௪௪௮௦ Thai ๑๐๔๔๔๘๐ Tibetan ༡༠༤༤༤༨༠ Khmer ១០៤៤៤៨០ Lao ໑໐໔໔໔໘໐ Burmese ၁၀၄၄၄၈၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1044480, here are decompositions:

  • 23 + 1044457 = 1044480
  • 29 + 1044451 = 1044480
  • 37 + 1044443 = 1044480
  • 43 + 1044437 = 1044480
  • 71 + 1044409 = 1044480
  • 83 + 1044397 = 1044480
  • 89 + 1044391 = 1044480
  • 97 + 1044383 = 1044480

Showing the first eight; more decompositions exist.

Hex color
#0FF000
RGB(15, 240, 0)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.240.0.

Address
0.15.240.0
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.240.0

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

Possible date

Could be parsed as a date. Most likely interpretation: Thursday, January 4, 4480 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)
  • 4480-04-01 (DMMYYYY (Euro, single-digit day))
  • 4480-10-04 (MMDYYYY (US, single-digit day))
  • 4480-04-10 (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 1,044,480 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°.