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1,028,052

1,028,052 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.).

1,028,052 (one million twenty-eight thousand fifty-two) is an even 7-digit number. It is a composite number with 60 divisors, and factors as 2² × 3⁴ × 19 × 167. Its proper divisors sum to 1,817,868, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xFAFD4.

Abundant Number Arithmetic Number Evil Number Gapful Number Harshad / Niven Practical Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
7
Digit sum
18
Digit product
0
Digital root
9
Palindrome
No
Bit width
20 bits
Reversed
2,508,201
Square (n²)
1,056,890,914,704
Cube (n³)
1,086,538,818,643,276,608
Divisor count
60
σ(n) — sum of divisors
2,845,920
φ(n) — Euler's totient
322,704
Sum of prime factors
202

Primality

Prime factorization: 2 2 × 3 4 × 19 × 167

Nearest primes: 1,028,051 (−1) · 1,028,063 (+11)

Divisors & multiples

All divisors (60)
1 · 2 · 3 · 4 · 6 · 9 · 12 · 18 · 19 · 27 · 36 · 38 · 54 · 57 · 76 · 81 · 108 · 114 · 162 · 167 · 171 · 228 · 324 · 334 · 342 · 501 · 513 · 668 · 684 · 1002 · 1026 · 1503 · 1539 · 2004 · 2052 · 3006 · 3078 · 3173 · 4509 · 6012 · 6156 · 6346 · 9018 · 9519 · 12692 · 13527 · 18036 · 19038 · 27054 · 28557 · 38076 · 54108 · 57114 · 85671 · 114228 · 171342 · 257013 · 342684 · 514026 (half) · 1028052
Aliquot sum (sum of proper divisors): 1,817,868
Factor pairs (a × b = 1,028,052)
1 × 1028052
2 × 514026
3 × 342684
4 × 257013
6 × 171342
9 × 114228
12 × 85671
18 × 57114
19 × 54108
27 × 38076
36 × 28557
38 × 27054
54 × 19038
57 × 18036
76 × 13527
81 × 12692
108 × 9519
114 × 9018
162 × 6346
167 × 6156
171 × 6012
228 × 4509
324 × 3173
334 × 3078
342 × 3006
501 × 2052
513 × 2004
668 × 1539
684 × 1503
1002 × 1026
First multiples
1,028,052 · 2,056,104 (double) · 3,084,156 · 4,112,208 · 5,140,260 · 6,168,312 · 7,196,364 · 8,224,416 · 9,252,468 · 10,280,520

Sums & aliquot sequence

As consecutive integers: 342,683 + 342,684 + 342,685 128,503 + 128,504 + … + 128,510 114,224 + 114,225 + … + 114,232 54,099 + 54,100 + … + 54,117
Aliquot sequence: 1,028,052 1,817,868 2,873,588 2,238,064 2,200,392 4,049,208 6,917,592 11,949,288 20,222,712 34,547,328 64,869,522 71,079,150 105,197,514 105,757,206 105,757,218 165,070,302 171,300,018 — unresolved within range

Continued fraction of √n

√1,028,052 = [1013; (1, 13, 12, 13, 1, 2026)]

Period length 6 — the block in parentheses repeats forever.

Representations

In words
one million twenty-eight thousand fifty-two
Ordinal
1028052nd
Binary
11111010111111010100
Octal
3727724
Hexadecimal
0xFAFD4
Base64
D6/U
One's complement
4,293,939,243 (32-bit)
Scientific notation
1.028052 × 10⁶
As a duration
1,028,052 s = 11 days, 21 hours, 34 minutes, 12 seconds
In other bases
ternary (3) 1221020020000
quaternary (4) 3322333110
quinary (5) 230344202
senary (6) 34011300
septenary (7) 11511144
nonary (9) 1836200
undecimal (11) 642433
duodecimal (12) 416b30
tridecimal (13) 29cc1c
tetradecimal (14) 1ca924
pentadecimal (15) 15491c

As an angle

1,028,052° = 2,855 × 360° + 252°
252° ≈ 4.398 rad
Compass bearing: WSW (west-southwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒁹𒁹
Egyptian hieroglyphic
𓁨𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓎆𓎆𓎆𓎆𓎆𓏺𓏺
Chinese
一百零二萬八千零五十二
Chinese (financial)
壹佰零貳萬捌仟零伍拾貳
In other modern scripts
Eastern Arabic ١٠٢٨٠٥٢ Devanagari १०२८०५२ Bengali ১০২৮০৫২ Tamil ௧௦௨௮௦௫௨ Thai ๑๐๒๘๐๕๒ Tibetan ༡༠༢༨༠༥༢ Khmer ១០២៨០៥២ Lao ໑໐໒໘໐໕໒ Burmese ၁၀၂၈၀၅၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1028052, here are decompositions:

  • 5 + 1028047 = 1028052
  • 23 + 1028029 = 1028052
  • 29 + 1028023 = 1028052
  • 41 + 1028011 = 1028052
  • 83 + 1027969 = 1028052
  • 199 + 1027853 = 1028052
  • 211 + 1027841 = 1028052
  • 269 + 1027783 = 1028052

Showing the first eight; more decompositions exist.

Hex color
#0FAFD4
RGB(15, 175, 212)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.175.212.

Address
0.15.175.212
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.175.212

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

Possible date

Could be parsed as a date. Most likely interpretation: Tuesday, January 2, 8052 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)
  • 8052-02-01 (DMMYYYY (Euro, single-digit day))
  • 8052-10-02 (MMDYYYY (US, single-digit day))
  • 8052-02-10 (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 1,028,052 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°.