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1,028,004

1,028,004 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.).

1,028,004 (one million twenty-eight thousand four) is an even 7-digit number. It is a composite number with 12 divisors, and factors as 2² × 3 × 85,667. Its proper divisors sum to 1,370,700, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xFAFA4.

Abundant Number Arithmetic Number Cube-Free Odious Number Pernicious Number Refactorable Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
7
Digit sum
15
Digit product
0
Digital root
6
Palindrome
No
Bit width
20 bits
Reversed
4,008,201
Square (n²)
1,056,792,224,016
Cube (n³)
1,086,386,633,457,344,064
Divisor count
12
σ(n) — sum of divisors
2,398,704
φ(n) — Euler's totient
342,664
Sum of prime factors
85,674

Primality

Prime factorization: 2 2 × 3 × 85667

Nearest primes: 1,028,003 (−1) · 1,028,011 (+7)

Divisors & multiples

All divisors (12)
1 · 2 · 3 · 4 · 6 · 12 · 85667 · 171334 · 257001 · 342668 · 514002 (half) · 1028004
Aliquot sum (sum of proper divisors): 1,370,700
Factor pairs (a × b = 1,028,004)
1 × 1028004
2 × 514002
3 × 342668
4 × 257001
6 × 171334
12 × 85667
First multiples
1,028,004 · 2,056,008 (double) · 3,084,012 · 4,112,016 · 5,140,020 · 6,168,024 · 7,196,028 · 8,224,032 · 9,252,036 · 10,280,040

Sums & aliquot sequence

As consecutive integers: 342,667 + 342,668 + 342,669 128,497 + 128,498 + … + 128,504 42,822 + 42,823 + … + 42,845
Aliquot sequence: 1,028,004 1,370,700 2,928,504 4,392,816 7,538,712 11,308,128 23,555,568 37,296,440 47,105,560 64,462,040 83,184,760 110,437,640 138,757,240 185,450,120 232,299,280 326,426,120 443,397,880 — unresolved within range

Continued fraction of √n

√1,028,004 = [1013; (1, 9, 1, 1, 3, 1, 1, 7, 2, 1, 3, 1, 1, 1, 20, 1, 2, 2, 1, 1, 1, 1, 1, 4, …)]

Representations

In words
one million twenty-eight thousand four
Ordinal
1028004th
Binary
11111010111110100100
Octal
3727644
Hexadecimal
0xFAFA4
Base64
D6+k
One's complement
4,293,939,291 (32-bit)
Scientific notation
1.028004 × 10⁶
As a duration
1,028,004 s = 11 days, 21 hours, 33 minutes, 24 seconds
In other bases
ternary (3) 1221020011020
quaternary (4) 3322332210
quinary (5) 230344004
senary (6) 34011140
septenary (7) 11511045
nonary (9) 1836136
undecimal (11) 64239a
duodecimal (12) 416ab0
tridecimal (13) 29cbb3
tetradecimal (14) 1ca8cc
pentadecimal (15) 1548d9

As an angle

1,028,004° = 2,855 × 360° + 204°
204° ≈ 3.56 rad
Compass bearing: SSW (south-southwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓁨𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓏺𓏺𓏺𓏺
Chinese
一百零二萬八千零四
Chinese (financial)
壹佰零貳萬捌仟零肆
In other modern scripts
Eastern Arabic ١٠٢٨٠٠٤ Devanagari १०२८००४ Bengali ১০২৮০০৪ Tamil ௧௦௨௮௦௦௪ Thai ๑๐๒๘๐๐๔ Tibetan ༡༠༢༨༠༠༤ Khmer ១០២៨០០៤ Lao ໑໐໒໘໐໐໔ Burmese ၁၀၂၈၀၀၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1028004, here are decompositions:

  • 17 + 1027987 = 1028004
  • 73 + 1027931 = 1028004
  • 113 + 1027891 = 1028004
  • 151 + 1027853 = 1028004
  • 163 + 1027841 = 1028004
  • 227 + 1027777 = 1028004
  • 251 + 1027753 = 1028004
  • 277 + 1027727 = 1028004

Showing the first eight; more decompositions exist.

Hex color
#0FAFA4
RGB(15, 175, 164)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.175.164.

Address
0.15.175.164
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.175.164

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

Possible date

Could be parsed as a date. Most likely interpretation: Friday, January 2, 8004 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)
  • 8004-02-01 (DMMYYYY (Euro, single-digit day))
  • 8004-10-02 (MMDYYYY (US, single-digit day))
  • 8004-02-10 (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 1,028,004 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°.