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1,011,054

1,011,054 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.).

1,011,054 (one million eleven thousand fifty-four) is an even 7-digit number. It is a composite number with 16 divisors, and factors as 2 × 3 × 11 × 15,319. Its proper divisors sum to 1,195,026, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF6D6E.

Abundant Number Arithmetic Number Cube-Free Evil Number Happy Number Recamán's Sequence Semiperfect Number Squarefree

Interestingness

Properties

Parity
Even
Digit count
7
Digit sum
12
Digit product
0
Digital root
3
Palindrome
No
Bit width
20 bits
Reversed
4,501,101
Recamán's sequence
a(360,027) = 1,011,054
Square (n²)
1,022,230,190,916
Cube (n³)
1,033,529,923,446,385,464
Divisor count
16
σ(n) — sum of divisors
2,206,080
φ(n) — Euler's totient
306,360
Sum of prime factors
15,335

Primality

Prime factorization: 2 × 3 × 11 × 15319

Nearest primes: 1,011,037 (−17) · 1,011,067 (+13)

Divisors & multiples

All divisors (16)
1 · 2 · 3 · 6 · 11 · 22 · 33 · 66 · 15319 · 30638 · 45957 · 91914 · 168509 · 337018 · 505527 (half) · 1011054
Aliquot sum (sum of proper divisors): 1,195,026
Factor pairs (a × b = 1,011,054)
1 × 1011054
2 × 505527
3 × 337018
6 × 168509
11 × 91914
22 × 45957
33 × 30638
66 × 15319
First multiples
1,011,054 · 2,022,108 (double) · 3,033,162 · 4,044,216 · 5,055,270 · 6,066,324 · 7,077,378 · 8,088,432 · 9,099,486 · 10,110,540

Sums & aliquot sequence

As consecutive integers: 337,017 + 337,018 + 337,019 252,762 + 252,763 + 252,764 + 252,765 91,909 + 91,910 + … + 91,919 84,249 + 84,250 + … + 84,260
Aliquot sequence: 1,011,054 1,195,026 1,613,934 2,382,786 3,517,758 4,737,762 5,527,428 7,369,932 9,878,068 7,645,872 13,627,072 13,414,276 10,860,884 8,145,670 7,644,650 8,500,150 7,310,222 — unresolved within range

Continued fraction of √n

√1,011,054 = [1005; (1, 1, 20, 1, 2, 58, 1, 4, 4, 6, 5, 2, 1, 6, 3, 1, 2, 7, 2, 3, 5, 3, 5, 4, …)]

Representations

In words
one million eleven thousand fifty-four
Ordinal
1011054th
Binary
11110110110101101110
Octal
3666556
Hexadecimal
0xF6D6E
Base64
D21u
One's complement
4,293,956,241 (32-bit)
Scientific notation
1.011054 × 10⁶
As a duration
1,011,054 s = 11 days, 16 hours, 50 minutes, 54 seconds
In other bases
ternary (3) 1220100220110
quaternary (4) 3312311232
quinary (5) 224323204
senary (6) 33400450
septenary (7) 11410452
nonary (9) 1810813
undecimal (11) 630690
duodecimal (12) 409126
tridecimal (13) 295275
tetradecimal (14) 1c4662
pentadecimal (15) 14e889

As an angle

1,011,054° = 2,808 × 360° + 174°
174° ≈ 3.037 rad
Compass bearing: S (south)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋 𒌋𒌋𒌋𒌋𒌋 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓁨𓂍𓆼𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Chinese
一百零一萬一千零五十四
Chinese (financial)
壹佰零壹萬壹仟零伍拾肆
In other modern scripts
Eastern Arabic ١٠١١٠٥٤ Devanagari १०११०५४ Bengali ১০১১০৫৪ Tamil ௧௦௧௧௦௫௪ Thai ๑๐๑๑๐๕๔ Tibetan ༡༠༡༡༠༥༤ Khmer ១០១១០៥៤ Lao ໑໐໑໑໐໕໔ Burmese ၁၀၁၁၀၅၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1011054, here are decompositions:

  • 17 + 1011037 = 1011054
  • 41 + 1011013 = 1011054
  • 53 + 1011001 = 1011054
  • 61 + 1010993 = 1011054
  • 71 + 1010983 = 1011054
  • 73 + 1010981 = 1011054
  • 97 + 1010957 = 1011054
  • 137 + 1010917 = 1011054

Showing the first eight; more decompositions exist.

Hex color
#0F6D6E
RGB(15, 109, 110)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.109.110.

Address
0.15.109.110
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.109.110

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

Possible date

Could be parsed as a date. Most likely interpretation: Sunday, January 1, 1054 (MDDYYYY (US, single-digit month)).

Other possible interpretations (2)
  • 1054-10-01 (MMDYYYY (US, single-digit day))
  • 1054-01-10 (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 1,011,054 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°.