number.wiki
Live analysis

1,009,988

1,009,988 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.).

1,009,988 (one million nine thousand nine hundred eighty-eight) is an even 7-digit number. It is a composite number with 18 divisors, and factors as 2² × 7² × 5,153. Its proper divisors sum to 1,046,458, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF6944.

Abundant Number Arithmetic Number Cube-Free Evil Number Flippable Happy Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
7
Digit sum
35
Digit product
0
Digital root
8
Palindrome
No
Bit width
20 bits
Reversed
8,899,001
Flips to (rotate 180°)
8,866,001
Square (n²)
1,020,075,760,144
Cube (n³)
1,030,264,276,836,318,272
Divisor count
18
σ(n) — sum of divisors
2,056,446
φ(n) — Euler's totient
432,768
Sum of prime factors
5,171

Primality

Prime factorization: 2 2 × 7 2 × 5153

Nearest primes: 1,009,963 (−25) · 1,009,991 (+3)

Divisors & multiples

All divisors (18)
1 · 2 · 4 · 7 · 14 · 28 · 49 · 98 · 196 · 5153 · 10306 · 20612 · 36071 · 72142 · 144284 · 252497 · 504994 (half) · 1009988
Aliquot sum (sum of proper divisors): 1,046,458
Factor pairs (a × b = 1,009,988)
1 × 1009988
2 × 504994
4 × 252497
7 × 144284
14 × 72142
28 × 36071
49 × 20612
98 × 10306
196 × 5153
First multiples
1,009,988 · 2,019,976 (double) · 3,029,964 · 4,039,952 · 5,049,940 · 6,059,928 · 7,069,916 · 8,079,904 · 9,089,892 · 10,099,880

Sums & aliquot sequence

As a sum of two squares: 322² + 952²
As consecutive integers: 144,281 + 144,282 + … + 144,287 126,245 + 126,246 + … + 126,252 20,588 + 20,589 + … + 20,636 18,008 + 18,009 + … + 18,063
Aliquot sequence: 1,009,988 1,046,458 747,494 497,962 248,984 217,876 163,414 81,710 65,386 32,696 30,544 31,952 29,986 21,854 16,450 19,262 9,634 — unresolved within range

Continued fraction of √n

√1,009,988 = [1004; (1, 53, 3, 11, 2, 1, 4, 1, 1, 2, 1, 62, 10, 1, 2, 1, 2, 1, 4, 1, 2, 1, 9, 2, …)]

Representations

In words
one million nine thousand nine hundred eighty-eight
Ordinal
1009988th
Binary
11110110100101000100
Octal
3664504
Hexadecimal
0xF6944
Base64
D2lE
One's complement
4,293,957,307 (32-bit)
Scientific notation
1.009988 × 10⁶
As a duration
1,009,988 s = 11 days, 16 hours, 33 minutes, 8 seconds
In other bases
ternary (3) 1220022102222
quaternary (4) 3312211010
quinary (5) 224304423
senary (6) 33351512
septenary (7) 11404400
nonary (9) 1808388
undecimal (11) 62a901
duodecimal (12) 408598
tridecimal (13) 294935
tetradecimal (14) 1c4100
pentadecimal (15) 14e3c8

As an angle

1,009,988° = 2,805 × 360° + 188°
188° ≈ 3.281 rad
Compass bearing: S (south)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋 𒌋𒌋𒌋𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓁨𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Chinese
一百萬九千九百八十八
Chinese (financial)
壹佰萬玖仟玖佰捌拾捌
In other modern scripts
Eastern Arabic ١٠٠٩٩٨٨ Devanagari १००९९८८ Bengali ১০০৯৯৮৮ Tamil ௧௦௦௯௯௮௮ Thai ๑๐๐๙๙๘๘ Tibetan ༡༠༠༩༩༨༨ Khmer ១០០៩៩៨៨ Lao ໑໐໐໙໙໘໘ Burmese ၁၀၀၉၉၈၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1009988, here are decompositions:

  • 37 + 1009951 = 1009988
  • 61 + 1009927 = 1009988
  • 79 + 1009909 = 1009988
  • 151 + 1009837 = 1009988
  • 181 + 1009807 = 1009988
  • 241 + 1009747 = 1009988
  • 337 + 1009651 = 1009988
  • 367 + 1009621 = 1009988

Showing the first eight; more decompositions exist.

Hex color
#0F6944
RGB(15, 105, 68)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.105.68.

Address
0.15.105.68
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.105.68

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 1,009,988 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°.