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1,006,938

1,006,938 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.).

1,006,938 (one million six thousand nine hundred thirty-eight) is an even 7-digit number. It is a composite number with 32 divisors, and factors as 2 × 3³ × 29 × 643. Its proper divisors sum to 1,311,462, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF5D5A.

Abundant Number Arithmetic Number Gapful Number Harshad / Niven Odious Number Pernicious Number 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
8,396,001
Square (n²)
1,013,924,135,844
Cube (n³)
1,020,958,741,498,485,672
Divisor count
32
σ(n) — sum of divisors
2,318,400
φ(n) — Euler's totient
323,568
Sum of prime factors
683

Primality

Prime factorization: 2 × 3 3 × 29 × 643

Nearest primes: 1,006,937 (−1) · 1,006,949 (+11)

Divisors & multiples

All divisors (32)
1 · 2 · 3 · 6 · 9 · 18 · 27 · 29 · 54 · 58 · 87 · 174 · 261 · 522 · 643 · 783 · 1286 · 1566 · 1929 · 3858 · 5787 · 11574 · 17361 · 18647 · 34722 · 37294 · 55941 · 111882 · 167823 · 335646 · 503469 (half) · 1006938
Aliquot sum (sum of proper divisors): 1,311,462
Factor pairs (a × b = 1,006,938)
1 × 1006938
2 × 503469
3 × 335646
6 × 167823
9 × 111882
18 × 55941
27 × 37294
29 × 34722
54 × 18647
58 × 17361
87 × 11574
174 × 5787
261 × 3858
522 × 1929
643 × 1566
783 × 1286
First multiples
1,006,938 · 2,013,876 (double) · 3,020,814 · 4,027,752 · 5,034,690 · 6,041,628 · 7,048,566 · 8,055,504 · 9,062,442 · 10,069,380

Sums & aliquot sequence

As consecutive integers: 335,645 + 335,646 + 335,647 251,733 + 251,734 + 251,735 + 251,736 111,878 + 111,879 + … + 111,886 83,906 + 83,907 + … + 83,917
Aliquot sequence: 1,006,938 1,311,462 1,530,078 1,856,802 1,927,518 2,161,314 2,556,126 2,982,186 3,743,676 5,719,596 7,626,156 10,942,548 14,590,092 22,931,700 49,459,500 112,374,900 271,913,004 — unresolved within range

Continued fraction of √n

√1,006,938 = [1003; (2, 6, 3, 1, 7, 1, 1, 1, 3, 5, 28, 12, 1, 285, 1, 3, 1, 1, 4, 9, 1, 10, 1, 36, …)]

Representations

In words
one million six thousand nine hundred thirty-eight
Ordinal
1006938th
Binary
11110101110101011010
Octal
3656532
Hexadecimal
0xF5D5A
Base64
D11a
One's complement
4,293,960,357 (32-bit)
Scientific notation
1.006938 × 10⁶
As a duration
1,006,938 s = 11 days, 15 hours, 42 minutes, 18 seconds
In other bases
ternary (3) 1220011021000
quaternary (4) 3311311122
quinary (5) 224210223
senary (6) 33325430
septenary (7) 11362452
nonary (9) 1804230
undecimal (11) 628589
duodecimal (12) 406876
tridecimal (13) 29342a
tetradecimal (14) 1c2d62
pentadecimal (15) 14d543

As an angle

1,006,938° = 2,797 × 360° + 18°
18° ≈ 0.314 rad
Compass bearing: NNE (north-northeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓁨𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Chinese
一百萬六千九百三十八
Chinese (financial)
壹佰萬陸仟玖佰參拾捌
In other modern scripts
Eastern Arabic ١٠٠٦٩٣٨ Devanagari १००६९३८ Bengali ১০০৬৯৩৮ Tamil ௧௦௦௬௯௩௮ Thai ๑๐๐๖๙๓๘ Tibetan ༡༠༠༦༩༣༨ Khmer ១០០៦៩៣៨ Lao ໑໐໐໖໙໓໘ Burmese ၁၀၀၆၉၃၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1006938, here are decompositions:

  • 5 + 1006933 = 1006938
  • 41 + 1006897 = 1006938
  • 47 + 1006891 = 1006938
  • 59 + 1006879 = 1006938
  • 61 + 1006877 = 1006938
  • 139 + 1006799 = 1006938
  • 157 + 1006781 = 1006938
  • 199 + 1006739 = 1006938

Showing the first eight; more decompositions exist.

Hex color
#0F5D5A
RGB(15, 93, 90)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.93.90.

Address
0.15.93.90
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.93.90

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 1,006,938 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°.