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1,061,000

1,061,000 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.).

1,061,000 (one million sixty-one thousand) is an even 7-digit number. It is a composite number with 32 divisors, and factors as 2³ × 5³ × 1,061. Its proper divisors sum to 1,424,080, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x103088.

Abundant Number Flippable Gapful Number Harshad / Niven Odious Number Pernicious Number Practical Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
7
Digit sum
8
Digit product
0
Digital root
8
Palindrome
No
Bit width
21 bits
Reversed
1,601
Flips to (rotate 180°)
1,901
Square (n²)
1,125,721,000,000
Cube (n³)
1,194,389,981,000,000,000
Divisor count
32
σ(n) — sum of divisors
2,485,080
φ(n) — Euler's totient
424,000
Sum of prime factors
1,082

Primality

Prime factorization: 2 3 × 5 3 × 1061

Nearest primes: 1,060,993 (−7) · 1,061,033 (+33)

Divisors & multiples

All divisors (32)
1 · 2 · 4 · 5 · 8 · 10 · 20 · 25 · 40 · 50 · 100 · 125 · 200 · 250 · 500 · 1000 · 1061 · 2122 · 4244 · 5305 · 8488 · 10610 · 21220 · 26525 · 42440 · 53050 · 106100 · 132625 · 212200 · 265250 · 530500 (half) · 1061000
Aliquot sum (sum of proper divisors): 1,424,080
Factor pairs (a × b = 1,061,000)
1 × 1061000
2 × 530500
4 × 265250
5 × 212200
8 × 132625
10 × 106100
20 × 53050
25 × 42440
40 × 26525
50 × 21220
100 × 10610
125 × 8488
200 × 5305
250 × 4244
500 × 2122
1000 × 1061
First multiples
1,061,000 · 2,122,000 (double) · 3,183,000 · 4,244,000 · 5,305,000 · 6,366,000 · 7,427,000 · 8,488,000 · 9,549,000 · 10,610,000

Sums & aliquot sequence

As a sum of two squares: 10² + 1,030² = 298² + 986² = 610² + 830² = 626² + 818²
As consecutive integers: 212,198 + 212,199 + 212,200 + 212,201 + 212,202 66,305 + 66,306 + … + 66,320 42,428 + 42,429 + … + 42,452 13,223 + 13,224 + … + 13,302
Aliquot sequence: 1,061,000 → 1,424,080 → 2,361,392 → 2,630,104 → 2,677,016 → 2,560,984 → 2,273,816 → 1,989,604 → 1,760,156 → 1,320,124 → 1,220,036 → 984,124 → 910,916 → 683,194 → 341,600 → 627,088 → 890,672 — unresolved within range

Continued fraction of √n

√1,061,000 = [1030; (20, 1, 1, 1, 1, 81, 1, 4, 20, 2, 2, 82, 515, 82, 2, 2, 20, 4, 1, 81, 1, 1, 1, 1, …)]

Period length 26 — the block in parentheses repeats forever.

Representations

In words
one million sixty-one thousand
Ordinal
1061000th
Binary
100000011000010001000
Octal
4030210
Hexadecimal
0x103088
Base64
EDCI
One's complement
4,293,906,295 (32-bit)
Scientific notation
1.061 × 10⁶
As a duration
1,061,000 s = 12 days, 6 hours, 43 minutes, 20 seconds
In other bases
ternary (3) 1222220102022
quaternary (4) 10003002020
quinary (5) 232423000
senary (6) 34424012
septenary (7) 12006203
nonary (9) 1886368
undecimal (11) 665166
duodecimal (12) 432008
tridecimal (13) 2b1c15
tetradecimal (14) 1d893a
pentadecimal (15) 15e585

As an angle

1,061,000° = 2,947 × 360° + 80°
80° ≈ 1.396 rad
Compass bearing: E (east)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋
Egyptian hieroglyphic
𓁨𓂍𓂍𓂍𓂍𓂍𓂍𓆼
Chinese
一百零六萬一千
Chinese (financial)
壹佰零陸萬壹仟
In other modern scripts
Eastern Arabic ١٠٦١٠٠٠ Devanagari १०६१००० Bengali ১০৬১০০০ Tamil ௧௦௬௧௦௦௦ Thai ๑๐๖๑๐๐๐ Tibetan ༡༠༦༡༠༠༠ Khmer ១០៦១០០០ Lao ໑໐໖໑໐໐໐ Burmese ၁၀၆၁၀၀၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1061000, here are decompositions:

  • 7 + 1060993 = 1061000
  • 19 + 1060981 = 1061000
  • 37 + 1060963 = 1061000
  • 139 + 1060861 = 1061000
  • 223 + 1060777 = 1061000
  • 277 + 1060723 = 1061000
  • 313 + 1060687 = 1061000
  • 379 + 1060621 = 1061000

Showing the first eight; more decompositions exist.

Hex color
#103088
RGB(16, 48, 136)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.16.48.136.

Address
0.16.48.136
Class
reserved
IPv4-mapped IPv6
::ffff:0.16.48.136

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

Possible date

Could be parsed as a date. Most likely interpretation: Monday, January 6, 1000 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)
  • 1000-06-01 (DMMYYYY (Euro, single-digit day))
  • 1000-10-06 (MMDYYYY (US, single-digit day))
  • 1000-06-10 (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 1,061,000 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°.