number.wiki
Live analysis

1,048,764

1,048,764 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.).

1,048,764 (one million forty-eight thousand seven hundred sixty-four) is an even 7-digit number. It is a composite number with 48 divisors, and factors as 2² × 3 × 17 × 53 × 97. Its proper divisors sum to 1,618,404, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1000BC.

Abundant Number Arithmetic Number Cube-Free Evil Number Practical Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
7
Digit sum
30
Digit product
0
Digital root
3
Palindrome
No
Bit width
21 bits
Reversed
4,678,401
Square (n²)
1,099,905,927,696
Cube (n³)
1,153,541,740,354,167,744
Divisor count
48
σ(n) — sum of divisors
2,667,168
φ(n) — Euler's totient
319,488
Sum of prime factors
174

Primality

Prime factorization: 2 2 × 3 × 17 × 53 × 97

Nearest primes: 1,048,759 (−5) · 1,048,783 (+19)

Divisors & multiples

All divisors (48)
1 · 2 · 3 · 4 · 6 · 12 · 17 · 34 · 51 · 53 · 68 · 97 · 102 · 106 · 159 · 194 · 204 · 212 · 291 · 318 · 388 · 582 · 636 · 901 · 1164 · 1649 · 1802 · 2703 · 3298 · 3604 · 4947 · 5141 · 5406 · 6596 · 9894 · 10282 · 10812 · 15423 · 19788 · 20564 · 30846 · 61692 · 87397 · 174794 · 262191 · 349588 · 524382 (half) · 1048764
Aliquot sum (sum of proper divisors): 1,618,404
Factor pairs (a × b = 1,048,764)
1 × 1048764
2 × 524382
3 × 349588
4 × 262191
6 × 174794
12 × 87397
17 × 61692
34 × 30846
51 × 20564
53 × 19788
68 × 15423
97 × 10812
102 × 10282
106 × 9894
159 × 6596
194 × 5406
204 × 5141
212 × 4947
291 × 3604
318 × 3298
388 × 2703
582 × 1802
636 × 1649
901 × 1164
First multiples
1,048,764 · 2,097,528 (double) · 3,146,292 · 4,195,056 · 5,243,820 · 6,292,584 · 7,341,348 · 8,390,112 · 9,438,876 · 10,487,640

Sums & aliquot sequence

As consecutive integers: 349,587 + 349,588 + 349,589 131,092 + 131,093 + … + 131,099 61,684 + 61,685 + … + 61,700 43,687 + 43,688 + … + 43,710
Aliquot sequence: 1,048,764 1,618,404 2,157,900 4,086,492 5,448,684 7,898,132 8,068,588 7,335,164 5,569,924 4,177,450 4,170,230 3,336,202 1,696,598 954,586 477,296 488,416 473,216 — unresolved within range

Continued fraction of √n

√1,048,764 = [1024; (10, 1, 8, 2, 3, 1, 10, 2, 2, 2, 7, 1, 1, 1, 1, 1, 1, 8, 3, 20, 6, 4, 1, 1, …)]

Representations

In words
one million forty-eight thousand seven hundred sixty-four
Ordinal
1048764th
Binary
100000000000010111100
Octal
4000274
Hexadecimal
0x1000BC
Base64
EAC8
One's complement
4,293,918,531 (32-bit)
Scientific notation
1.048764 × 10⁶
As a duration
1,048,764 s = 12 days, 3 hours, 19 minutes, 24 seconds
In other bases
ternary (3) 1222021122010
quaternary (4) 10000002330
quinary (5) 232030024
senary (6) 34251220
septenary (7) 11625423
nonary (9) 1867563
undecimal (11) 656a52
duodecimal (12) 426b10
tridecimal (13) 2a9492
tetradecimal (14) 1d42ba
pentadecimal (15) 15ab29

As an angle

1,048,764° = 2,913 × 360° + 84°
84° ≈ 1.466 rad
Compass bearing: E (east)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓁨𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Chinese
一百零四萬八千七百六十四
Chinese (financial)
壹佰零肆萬捌仟柒佰陸拾肆
In other modern scripts
Eastern Arabic ١٠٤٨٧٦٤ Devanagari १०४८७६४ Bengali ১০৪৮৭৬৪ Tamil ௧௦௪௮௭௬௪ Thai ๑๐๔๘๗๖๔ Tibetan ༡༠༤༨༧༦༤ Khmer ១០៤៨៧៦៤ Lao ໑໐໔໘໗໖໔ Burmese ၁၀၄၈၇၆၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1048764, here are decompositions:

  • 5 + 1048759 = 1048764
  • 43 + 1048721 = 1048764
  • 47 + 1048717 = 1048764
  • 61 + 1048703 = 1048764
  • 83 + 1048681 = 1048764
  • 103 + 1048661 = 1048764
  • 131 + 1048633 = 1048764
  • 137 + 1048627 = 1048764

Showing the first eight; more decompositions exist.

Hex color
#1000BC
RGB(16, 0, 188)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.16.0.188.

Address
0.16.0.188
Class
reserved
IPv4-mapped IPv6
::ffff:0.16.0.188

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

Possible date

Could be parsed as a date. Most likely interpretation: Saturday, January 4, 8764 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)
  • 8764-04-01 (DMMYYYY (Euro, single-digit day))
  • 8764-10-04 (MMDYYYY (US, single-digit day))
  • 8764-04-10 (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 1,048,764 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°.