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1,008,114

1,008,114 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.).

1,008,114 (one million eight thousand one hundred fourteen) is an even 7-digit number. It is a composite number with 16 divisors, and factors as 2 × 3 × 401 × 419. Its proper divisors sum to 1,017,966, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF61F2.

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

Interestingness

Properties

Parity
Even
Digit count
7
Digit sum
15
Digit product
0
Digital root
6
Palindrome
No
Bit width
20 bits
Reversed
4,118,001
Recamán's sequence
a(349,223) = 1,008,114
Square (n²)
1,016,293,836,996
Cube (n³)
1,024,540,045,189,385,544
Divisor count
16
σ(n) — sum of divisors
2,026,080
φ(n) — Euler's totient
334,400
Sum of prime factors
825

Primality

Prime factorization: 2 × 3 × 401 × 419

Nearest primes: 1,008,101 (−13) · 1,008,131 (+17)

Divisors & multiples

All divisors (16)
1 · 2 · 3 · 6 · 401 · 419 · 802 · 838 · 1203 · 1257 · 2406 · 2514 · 168019 · 336038 · 504057 (half) · 1008114
Aliquot sum (sum of proper divisors): 1,017,966
Factor pairs (a × b = 1,008,114)
1 × 1008114
2 × 504057
3 × 336038
6 × 168019
401 × 2514
419 × 2406
802 × 1257
838 × 1203
First multiples
1,008,114 · 2,016,228 (double) · 3,024,342 · 4,032,456 · 5,040,570 · 6,048,684 · 7,056,798 · 8,064,912 · 9,073,026 · 10,081,140

Sums & aliquot sequence

As consecutive integers: 336,037 + 336,038 + 336,039 252,027 + 252,028 + 252,029 + 252,030 84,004 + 84,005 + … + 84,015 2,314 + 2,315 + … + 2,714
Aliquot sequence: 1,008,114 1,017,966 1,017,978 1,250,694 1,859,706 2,273,094 2,680,218 3,224,538 3,795,462 5,499,018 8,840,502 13,479,642 19,461,798 23,735,538 29,440,782 46,637,298 55,094,202 — unresolved within range

Continued fraction of √n

√1,008,114 = [1004; (20, 2, 25, 3, 1, 8, 7, 1, 1, 11, 2, 1, 6, 4, 39, 1, 11, 1, 1, 1, 8, 2, 1, 1, …)]

Representations

In words
one million eight thousand one hundred fourteen
Ordinal
1008114th
Binary
11110110000111110010
Octal
3660762
Hexadecimal
0xF61F2
Base64
D2Hy
One's complement
4,293,959,181 (32-bit)
Scientific notation
1.008114 × 10⁶
As a duration
1,008,114 s = 11 days, 16 hours, 1 minute, 54 seconds
In other bases
ternary (3) 1220012212120
quaternary (4) 3312013302
quinary (5) 224224424
senary (6) 33335110
septenary (7) 11366052
nonary (9) 1805776
undecimal (11) 629458
duodecimal (12) 407496
tridecimal (13) 293b23
tetradecimal (14) 1c3562
pentadecimal (15) 14da79

As an angle

1,008,114° = 2,800 × 360° + 114°
114° ≈ 1.99 rad
Compass bearing: ESE (east-southeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋 𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓁨𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓎆𓏺𓏺𓏺𓏺
Chinese
一百萬八千一百一十四
Chinese (financial)
壹佰萬捌仟壹佰壹拾肆
In other modern scripts
Eastern Arabic ١٠٠٨١١٤ Devanagari १००८११४ Bengali ১০০৮১১৪ Tamil ௧௦௦௮௧௧௪ Thai ๑๐๐๘๑๑๔ Tibetan ༡༠༠༨༡༡༤ Khmer ១០០៨១១៤ Lao ໑໐໐໘໑໑໔ Burmese ၁၀၀၈၁၁၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1008114, here are decompositions:

  • 13 + 1008101 = 1008114
  • 71 + 1008043 = 1008114
  • 73 + 1008041 = 1008114
  • 83 + 1008031 = 1008114
  • 97 + 1008017 = 1008114
  • 101 + 1008013 = 1008114
  • 113 + 1008001 = 1008114
  • 137 + 1007977 = 1008114

Showing the first eight; more decompositions exist.

Hex color
#0F61F2
RGB(15, 97, 242)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.97.242.

Address
0.15.97.242
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.97.242

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

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 1,008,114 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°.