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1,000,998

1,000,998 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.).

1,000,998 (one million nine hundred ninety-eight) is an even 7-digit number. It is a composite number with 40 divisors, and factors as 2 × 3⁴ × 37 × 167. Its proper divisors sum to 1,316,394, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF4626.

Abundant Number Evil Number Flippable Gapful Number Harshad / Niven Practical Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
7
Digit sum
27
Digit product
0
Digital root
9
Palindrome
No
Bit width
20 bits
Reversed
8,990,001
Flips to (rotate 180°)
8,660,001
Square (n²)
1,001,996,996,004
Cube (n³)
1,002,996,989,006,011,992
Divisor count
40
σ(n) — sum of divisors
2,317,392
φ(n) — Euler's totient
322,704
Sum of prime factors
218

Primality

Prime factorization: 2 × 3 4 × 37 × 167

Nearest primes: 1,000,981 (−17) · 1,000,999 (+1)

Divisors & multiples

All divisors (40)
1 · 2 · 3 · 6 · 9 · 18 · 27 · 37 · 54 · 74 · 81 · 111 · 162 · 167 · 222 · 333 · 334 · 501 · 666 · 999 · 1002 · 1503 · 1998 · 2997 · 3006 · 4509 · 5994 · 6179 · 9018 · 12358 · 13527 · 18537 · 27054 · 37074 · 55611 · 111222 · 166833 · 333666 · 500499 (half) · 1000998
Aliquot sum (sum of proper divisors): 1,316,394
Factor pairs (a × b = 1,000,998)
1 × 1000998
2 × 500499
3 × 333666
6 × 166833
9 × 111222
18 × 55611
27 × 37074
37 × 27054
54 × 18537
74 × 13527
81 × 12358
111 × 9018
162 × 6179
167 × 5994
222 × 4509
333 × 3006
334 × 2997
501 × 1998
666 × 1503
999 × 1002
First multiples
1,000,998 · 2,001,996 (double) · 3,002,994 · 4,003,992 · 5,004,990 · 6,005,988 · 7,006,986 · 8,007,984 · 9,008,982 · 10,009,980

Sums & aliquot sequence

As consecutive integers: 333,665 + 333,666 + 333,667 250,248 + 250,249 + 250,250 + 250,251 111,218 + 111,219 + … + 111,226 83,411 + 83,412 + … + 83,422
Aliquot sequence: 1,000,998 1,316,394 1,535,832 2,690,208 4,960,890 9,112,806 10,720,098 14,374,998 20,069,802 24,529,878 33,848,442 42,783,750 73,082,286 95,442,642 111,349,788 172,086,372 262,909,826 — unresolved within range

Continued fraction of √n

√1,000,998 = [1000; (2, 221, 1, 4, 1, 221, 2, 2000)]

Period length 8 — the block in parentheses repeats forever.

Representations

In words
one million nine hundred ninety-eight
Ordinal
1000998th
Binary
11110100011000100110
Octal
3643046
Hexadecimal
0xF4626
Base64
D0Ym
One's complement
4,293,966,297 (32-bit)
Scientific notation
1.000998 × 10⁶
As a duration
1,000,998 s = 11 days, 14 hours, 3 minutes, 18 seconds
In other bases
ternary (3) 1212212010000
quaternary (4) 3310120212
quinary (5) 224012443
senary (6) 33242130
septenary (7) 11336235
nonary (9) 1785100
undecimal (11) 624079
duodecimal (12) 403346
tridecimal (13) 29080b
tetradecimal (14) 1c0b1c
pentadecimal (15) 14b8d3

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓁨𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Chinese
一百萬零九百九十八
Chinese (financial)
壹佰萬零玖佰玖拾捌
In other modern scripts
Eastern Arabic ١٠٠٠٩٩٨ Devanagari १०००९९८ Bengali ১০০০৯৯৮ Tamil ௧௦௦௦௯௯௮ Thai ๑๐๐๐๙๙๘ Tibetan ༡༠༠༠༩༩༨ Khmer ១០០០៩៩៨ Lao ໑໐໐໐໙໙໘ Burmese ၁၀၀၀၉၉၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1000998, here are decompositions:

  • 17 + 1000981 = 1000998
  • 29 + 1000969 = 1000998
  • 67 + 1000931 = 1000998
  • 79 + 1000919 = 1000998
  • 109 + 1000889 = 1000998
  • 137 + 1000861 = 1000998
  • 139 + 1000859 = 1000998
  • 149 + 1000849 = 1000998

Showing the first eight; more decompositions exist.

Hex color
#0F4626
RGB(15, 70, 38)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.70.38.

Address
0.15.70.38
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.70.38

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 1,000,998 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°.