number.wiki
Live analysis

1,047,132

1,047,132 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.).

1,047,132 (one million forty-seven thousand one hundred thirty-two) is an even 7-digit number. It is a composite number with 72 divisors, and factors as 2² × 3² × 17 × 29 × 59. Its proper divisors sum to 1,901,268, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xFFA5C.

Abundant Number Arithmetic Number Cube-Free Evil Number Gapful Number Harshad / Niven Practical Number Weird Number

Interestingness

Properties

Parity
Even
Digit count
7
Digit sum
18
Digit product
0
Digital root
9
Palindrome
No
Bit width
20 bits
Reversed
2,317,401
Square (n²)
1,096,485,425,424
Cube (n³)
1,148,164,976,495,083,968
Divisor count
72
σ(n) — sum of divisors
2,948,400
φ(n) — Euler's totient
311,808
Sum of prime factors
115

Primality

Prime factorization: 2 2 × 3 2 × 17 × 29 × 59

Nearest primes: 1,047,131 (−1) · 1,047,133 (+1)

Divisors & multiples

All divisors (72)
1 · 2 · 3 · 4 · 6 · 9 · 12 · 17 · 18 · 29 · 34 · 36 · 51 · 58 · 59 · 68 · 87 · 102 · 116 · 118 · 153 · 174 · 177 · 204 · 236 · 261 · 306 · 348 · 354 · 493 · 522 · 531 · 612 · 708 · 986 · 1003 · 1044 · 1062 · 1479 · 1711 · 1972 · 2006 · 2124 · 2958 · 3009 · 3422 · 4012 · 4437 · 5133 · 5916 · 6018 · 6844 · 8874 · 9027 · 10266 · 12036 · 15399 · 17748 · 18054 · 20532 · 29087 · 30798 · 36108 · 58174 · 61596 · 87261 · 116348 · 174522 · 261783 · 349044 · 523566 (half) · 1047132
Aliquot sum (sum of proper divisors): 1,901,268
Factor pairs (a × b = 1,047,132)
1 × 1047132
2 × 523566
3 × 349044
4 × 261783
6 × 174522
9 × 116348
12 × 87261
17 × 61596
18 × 58174
29 × 36108
34 × 30798
36 × 29087
51 × 20532
58 × 18054
59 × 17748
68 × 15399
87 × 12036
102 × 10266
116 × 9027
118 × 8874
153 × 6844
174 × 6018
177 × 5916
204 × 5133
236 × 4437
261 × 4012
306 × 3422
348 × 3009
354 × 2958
493 × 2124
522 × 2006
531 × 1972
612 × 1711
708 × 1479
986 × 1062
1003 × 1044
First multiples
1,047,132 · 2,094,264 (double) · 3,141,396 · 4,188,528 · 5,235,660 · 6,282,792 · 7,329,924 · 8,377,056 · 9,424,188 · 10,471,320

Sums & aliquot sequence

As consecutive integers: 349,043 + 349,044 + 349,045 130,888 + 130,889 + … + 130,895 116,344 + 116,345 + … + 116,352 61,588 + 61,589 + … + 61,604
Aliquot sequence: 1,047,132 1,901,268 2,904,806 1,587,994 803,846 431,458 236,702 137,098 84,410 74,566 42,218 31,222 16,514 9,406 4,706 2,938 1,850 — unresolved within range

Continued fraction of √n

√1,047,132 = [1023; (3, 2, 1, 1, 5, 1, 1, 2, 1, 3, 1, 1, 2, 1, 12, 1, 2, 1, 12, 1, 2, 1, 1, 3, …)]

Period length 34 — the block in parentheses repeats forever.

Representations

In words
one million forty-seven thousand one hundred thirty-two
Ordinal
1047132nd
Binary
11111111101001011100
Octal
3775134
Hexadecimal
0xFFA5C
Base64
D/pc
One's complement
4,293,920,163 (32-bit)
Scientific notation
1.047132 × 10⁶
As a duration
1,047,132 s = 12 days, 2 hours, 52 minutes, 12 seconds
In other bases
ternary (3) 1222012101200
quaternary (4) 3333221130
quinary (5) 232002012
senary (6) 34235500
septenary (7) 11620602
nonary (9) 1865350
undecimal (11) 6557a9
duodecimal (12) 425b90
tridecimal (13) 2a8808
tetradecimal (14) 1d3872
pentadecimal (15) 15a3dc

As an angle

1,047,132° = 2,908 × 360° + 252°
252° ≈ 4.398 rad
Compass bearing: WSW (west-southwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋 𒌋𒌋𒌋𒌋𒌋𒁹𒁹 𒌋𒁹𒁹
Egyptian hieroglyphic
𓁨𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓎆𓎆𓎆𓏺𓏺
Chinese
一百零四萬七千一百三十二
Chinese (financial)
壹佰零肆萬柒仟壹佰參拾貳
In other modern scripts
Eastern Arabic ١٠٤٧١٣٢ Devanagari १०४७१३२ Bengali ১০৪৭১৩২ Tamil ௧௦௪௭௧௩௨ Thai ๑๐๔๗๑๓๒ Tibetan ༡༠༤༧༡༣༢ Khmer ១០៤៧១៣២ Lao ໑໐໔໗໑໓໒ Burmese ၁၀၄၇၁၃၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1047132, here are decompositions:

  • 5 + 1047127 = 1047132
  • 13 + 1047119 = 1047132
  • 43 + 1047089 = 1047132
  • 71 + 1047061 = 1047132
  • 89 + 1047043 = 1047132
  • 101 + 1047031 = 1047132
  • 139 + 1046993 = 1047132
  • 173 + 1046959 = 1047132

Showing the first eight; more decompositions exist.

Hex color
#0FFA5C
RGB(15, 250, 92)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.250.92.

Address
0.15.250.92
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.250.92

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

Possible date

Could be parsed as a date. Most likely interpretation: Monday, January 4, 7132 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)
  • 7132-04-01 (DMMYYYY (Euro, single-digit day))
  • 7132-10-04 (MMDYYYY (US, single-digit day))
  • 7132-04-10 (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 1,047,132 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°.