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1,011,052

1,011,052 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.).

1,011,052 (one million eleven thousand fifty-two) is an even 7-digit number. It is a composite number with 12 divisors, and factors as 2² × 7 × 36,109. Its proper divisors sum to 1,011,108, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF6D6C.

Abundant Number Cube-Free Happy Number Odious Number Pernicious Number Recamán's Sequence Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
7
Digit sum
10
Digit product
0
Digital root
1
Palindrome
No
Bit width
20 bits
Reversed
2,501,101
Recamán's sequence
a(360,031) = 1,011,052
Square (n²)
1,022,226,146,704
Cube (n³)
1,033,523,790,077,372,608
Divisor count
12
σ(n) — sum of divisors
2,022,160
φ(n) — Euler's totient
433,296
Sum of prime factors
36,120

Primality

Prime factorization: 2 2 × 7 × 36109

Nearest primes: 1,011,037 (−15) · 1,011,067 (+15)

Divisors & multiples

All divisors (12)
1 · 2 · 4 · 7 · 14 · 28 · 36109 · 72218 · 144436 · 252763 · 505526 (half) · 1011052
Aliquot sum (sum of proper divisors): 1,011,108
Factor pairs (a × b = 1,011,052)
1 × 1011052
2 × 505526
4 × 252763
7 × 144436
14 × 72218
28 × 36109
First multiples
1,011,052 · 2,022,104 (double) · 3,033,156 · 4,044,208 · 5,055,260 · 6,066,312 · 7,077,364 · 8,088,416 · 9,099,468 · 10,110,520

Sums & aliquot sequence

As consecutive integers: 144,433 + 144,434 + … + 144,439 126,378 + 126,379 + … + 126,385 18,027 + 18,028 + … + 18,082
Aliquot sequence: 1,011,052 1,011,108 1,685,404 1,745,996 1,780,660 2,815,820 3,942,484 4,549,804 4,549,860 12,013,596 23,885,652 40,339,628 41,547,604 48,970,796 51,024,904 58,314,296 51,025,024 — unresolved within range

Continued fraction of √n

√1,011,052 = [1005; (1, 1, 22, 1, 1, 1, 1, 2, 18, 4, 4, 3, 1, 1, 6, 6, 3, 2, 2, 3, 1, 5, 3, 1, …)]

Representations

In words
one million eleven thousand fifty-two
Ordinal
1011052nd
Binary
11110110110101101100
Octal
3666554
Hexadecimal
0xF6D6C
Base64
D21s
One's complement
4,293,956,243 (32-bit)
Scientific notation
1.011052 × 10⁶
As a duration
1,011,052 s = 11 days, 16 hours, 50 minutes, 52 seconds
In other bases
ternary (3) 1220100220101
quaternary (4) 3312311230
quinary (5) 224323202
senary (6) 33400444
septenary (7) 11410450
nonary (9) 1810811
undecimal (11) 630689
duodecimal (12) 409124
tridecimal (13) 295273
tetradecimal (14) 1c4660
pentadecimal (15) 14e887

As an angle

1,011,052° = 2,808 × 360° + 172°
172° ≈ 3.002 rad
Compass bearing: S (south)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋 𒌋𒌋𒌋𒌋𒌋 𒌋𒌋𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic
𓁨𓂍𓆼𓎆𓎆𓎆𓎆𓎆𓏺𓏺
Chinese
一百零一萬一千零五十二
Chinese (financial)
壹佰零壹萬壹仟零伍拾貳
In other modern scripts
Eastern Arabic ١٠١١٠٥٢ Devanagari १०११०५२ Bengali ১০১১০৫২ Tamil ௧௦௧௧௦௫௨ Thai ๑๐๑๑๐๕๒ Tibetan ༡༠༡༡༠༥༢ Khmer ១០១១០៥២ Lao ໑໐໑໑໐໕໒ Burmese ၁၀၁၁၀၅၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1011052, here are decompositions:

  • 23 + 1011029 = 1011052
  • 59 + 1010993 = 1011052
  • 71 + 1010981 = 1011052
  • 149 + 1010903 = 1011052
  • 191 + 1010861 = 1011052
  • 269 + 1010783 = 1011052
  • 281 + 1010771 = 1011052
  • 293 + 1010759 = 1011052

Showing the first eight; more decompositions exist.

Hex color
#0F6D6C
RGB(15, 109, 108)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.109.108.

Address
0.15.109.108
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.109.108

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

Possible date

Could be parsed as a date. Most likely interpretation: Thursday, January 1, 1052 (MDDYYYY (US, single-digit month)).

Other possible interpretations (2)
  • 1052-10-01 (MMDYYYY (US, single-digit day))
  • 1052-01-10 (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 1,011,052 and was likely granted around 1911.

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°.