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1,051,016

1,051,016 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.).

1,051,016 (one million fifty-one thousand sixteen) is an even 7-digit number. It is a composite number with 16 divisors, and factors as 2³ × 79 × 1,663. Written other ways, in hexadecimal, 0x100988.

Arithmetic Number Deficient Number Odious Number Pernicious Number

Interestingness

Properties

Parity
Even
Digit count
7
Digit sum
14
Digit product
0
Digital root
5
Palindrome
No
Bit width
21 bits
Reversed
6,101,501
Square (n²)
1,104,634,632,256
Cube (n³)
1,160,988,672,655,172,096
Divisor count
16
σ(n) — sum of divisors
1,996,800
φ(n) — Euler's totient
518,544
Sum of prime factors
1,748

Primality

Prime factorization: 2 3 × 79 × 1663

Nearest primes: 1,051,009 (−7) · 1,051,019 (+3)

Divisors & multiples

All divisors (16)
1 · 2 · 4 · 8 · 79 · 158 · 316 · 632 · 1663 · 3326 · 6652 · 13304 · 131377 · 262754 · 525508 (half) · 1051016
Aliquot sum (sum of proper divisors): 945,784
Factor pairs (a × b = 1,051,016)
1 × 1051016
2 × 525508
4 × 262754
8 × 131377
79 × 13304
158 × 6652
316 × 3326
632 × 1663
First multiples
1,051,016 · 2,102,032 (double) · 3,153,048 · 4,204,064 · 5,255,080 · 6,306,096 · 7,357,112 · 8,408,128 · 9,459,144 · 10,510,160

Sums & aliquot sequence

As consecutive integers: 65,681 + 65,682 + … + 65,696 13,265 + 13,266 + … + 13,343 200 + 201 + … + 1,463
Aliquot sequence: 1,051,016 945,784 1,081,016 960,784 1,128,368 1,081,312 1,047,584 1,124,656 1,222,416 2,467,452 3,733,204 2,799,910 2,239,946 1,141,078 570,542 421,330 514,094 — unresolved within range

Continued fraction of √n

√1,051,016 = [1025; (5, 4, 9, 3, 2, 1, 6, 3, 1, 41, 11, 1, 2, 3, 1, 27, 3, 6, 1, 3, 3, 1, 4, 2, …)]

Representations

In words
one million fifty-one thousand sixteen
Ordinal
1051016th
Binary
100000000100110001000
Octal
4004610
Hexadecimal
0x100988
Base64
EAmI
One's complement
4,293,916,279 (32-bit)
Scientific notation
1.051016 × 10⁶
As a duration
1,051,016 s = 12 days, 3 hours, 56 minutes, 56 seconds
In other bases
ternary (3) 1222101201112
quaternary (4) 10000212020
quinary (5) 232113031
senary (6) 34305452
septenary (7) 11635121
nonary (9) 1871645
undecimal (11) 65870a
duodecimal (12) 428288
tridecimal (13) 2aa505
tetradecimal (14) 1d5048
pentadecimal (15) 15b62b

As an angle

1,051,016° = 2,919 × 360° + 176°
176° ≈ 3.072 rad
Compass bearing: S (south)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓁨𓂍𓂍𓂍𓂍𓂍𓆼𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Chinese
一百零五萬一千零一十六
Chinese (financial)
壹佰零伍萬壹仟零壹拾陸
In other modern scripts
Eastern Arabic ١٠٥١٠١٦ Devanagari १०५१०१६ Bengali ১০৫১০১৬ Tamil ௧௦௫௧௦௧௬ Thai ๑๐๕๑๐๑๖ Tibetan ༡༠༥༡༠༡༦ Khmer ១០៥១០១៦ Lao ໑໐໕໑໐໑໖ Burmese ၁၀၅၁၀၁၆

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1051016, here are decompositions:

  • 7 + 1051009 = 1051016
  • 13 + 1051003 = 1051016
  • 19 + 1050997 = 1051016
  • 67 + 1050949 = 1051016
  • 103 + 1050913 = 1051016
  • 163 + 1050853 = 1051016
  • 199 + 1050817 = 1051016
  • 277 + 1050739 = 1051016

Showing the first eight; more decompositions exist.

Hex color
#100988
RGB(16, 9, 136)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.16.9.136.

Address
0.16.9.136
Class
reserved
IPv4-mapped IPv6
::ffff:0.16.9.136

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

Possible date

Could be parsed as a date. Most likely interpretation: Friday, January 5, 1016 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)
  • 1016-05-01 (DMMYYYY (Euro, single-digit day))
  • 1016-10-05 (MMDYYYY (US, single-digit day))
  • 1016-05-10 (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 1,051,016 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°.