number.wiki
Live analysis

1,006,992

1,006,992 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.).

1,006,992 (one million six thousand nine hundred ninety-two) is an even 7-digit number. It is a composite number with 120 divisors, and factors as 2⁴ × 3⁵ × 7 × 37. Its proper divisors sum to 2,423,344, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF5D90.

Abundant Number Gapful Number Happy Number Harshad / Niven Odious Number Pernicious Number Practical Number Weird Number

Interestingness

Properties

Parity
Even
Digit count
7
Digit sum
27
Digit product
0
Digital root
9
Palindrome
No
Bit width
20 bits
Reversed
2,996,001
Square (n²)
1,014,032,888,064
Cube (n³)
1,021,123,006,017,343,488
Divisor count
120
σ(n) — sum of divisors
3,430,336
φ(n) — Euler's totient
279,936
Sum of prime factors
67

Primality

Prime factorization: 2 4 × 3 5 × 7 × 37

Nearest primes: 1,006,991 (−1) · 1,007,021 (+29)

Divisors & multiples

All divisors (120)
1 · 2 · 3 · 4 · 6 · 7 · 8 · 9 · 12 · 14 · 16 · 18 · 21 · 24 · 27 · 28 · 36 · 37 · 42 · 48 · 54 · 56 · 63 · 72 · 74 · 81 · 84 · 108 · 111 · 112 · 126 · 144 · 148 · 162 · 168 · 189 · 216 · 222 · 243 · 252 · 259 · 296 · 324 · 333 · 336 · 378 · 432 · 444 · 486 · 504 · 518 · 567 · 592 · 648 · 666 · 756 · 777 · 888 · 972 · 999 · 1008 · 1036 · 1134 · 1296 · 1332 · 1512 · 1554 · 1701 · 1776 · 1944 · 1998 · 2072 · 2268 · 2331 · 2664 · 2997 · 3024 · 3108 · 3402 · 3888 · 3996 · 4144 · 4536 · 4662 · 5328 · 5994 · 6216 · 6804 · 6993 · 7992 · 8991 · 9072 · 9324 · 11988 · 12432 · 13608 · 13986 · 15984 · 17982 · 18648 · 20979 · 23976 · 27216 · 27972 · 35964 · 37296 · 41958 · 47952 · 55944 · 62937 · 71928 · 83916 · 111888 · 125874 · 143856 · 167832 · 251748 · 335664 · 503496 (half) · 1006992
Aliquot sum (sum of proper divisors): 2,423,344
Factor pairs (a × b = 1,006,992)
1 × 1006992
2 × 503496
3 × 335664
4 × 251748
6 × 167832
7 × 143856
8 × 125874
9 × 111888
12 × 83916
14 × 71928
16 × 62937
18 × 55944
21 × 47952
24 × 41958
27 × 37296
28 × 35964
36 × 27972
37 × 27216
42 × 23976
48 × 20979
54 × 18648
56 × 17982
63 × 15984
72 × 13986
74 × 13608
81 × 12432
84 × 11988
108 × 9324
111 × 9072
112 × 8991
126 × 7992
144 × 6993
148 × 6804
162 × 6216
168 × 5994
189 × 5328
216 × 4662
222 × 4536
243 × 4144
252 × 3996
259 × 3888
296 × 3402
324 × 3108
333 × 3024
336 × 2997
378 × 2664
432 × 2331
444 × 2268
486 × 2072
504 × 1998
518 × 1944
567 × 1776
592 × 1701
648 × 1554
666 × 1512
756 × 1332
777 × 1296
888 × 1134
972 × 1036
999 × 1008
First multiples
1,006,992 · 2,013,984 (double) · 3,020,976 · 4,027,968 · 5,034,960 · 6,041,952 · 7,048,944 · 8,055,936 · 9,062,928 · 10,069,920

Sums & aliquot sequence

As consecutive integers: 335,663 + 335,664 + 335,665 143,853 + 143,854 + … + 143,859 111,884 + 111,885 + … + 111,892 47,942 + 47,943 + … + 47,962
Aliquot sequence: 1,006,992 2,423,344 3,556,184 3,111,676 2,333,764 1,928,060 2,154,340 2,369,816 2,232,364 1,674,280 2,292,920 3,927,880 5,921,720 9,306,280 11,756,960 16,234,696 14,520,644 — unresolved within range

Continued fraction of √n

√1,006,992 = [1003; (2, 24, 3, 1, 1, 1, 1, 24, 6, 222, 1, 4, 1, 23, 1, 16, 1, 23, 1, 4, 1, 222, 6, 24, …)]

Period length 32 — the block in parentheses repeats forever.

Representations

In words
one million six thousand nine hundred ninety-two
Ordinal
1006992nd
Binary
11110101110110010000
Octal
3656620
Hexadecimal
0xF5D90
Base64
D12Q
One's complement
4,293,960,303 (32-bit)
Scientific notation
1.006992 × 10⁶
As a duration
1,006,992 s = 11 days, 15 hours, 43 minutes, 12 seconds
In other bases
ternary (3) 1220011100000
quaternary (4) 3311312100
quinary (5) 224210432
senary (6) 33330000
septenary (7) 11362560
nonary (9) 1804300
undecimal (11) 628628
duodecimal (12) 406900
tridecimal (13) 29346c
tetradecimal (14) 1c2da0
pentadecimal (15) 14d57c

As an angle

1,006,992° = 2,797 × 360° + 72°
72° ≈ 1.257 rad
Compass bearing: ENE (east-northeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒁹𒁹
Egyptian hieroglyphic
𓁨𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺
Chinese
一百萬六千九百九十二
Chinese (financial)
壹佰萬陸仟玖佰玖拾貳
In other modern scripts
Eastern Arabic ١٠٠٦٩٩٢ Devanagari १००६९९२ Bengali ১০০৬৯৯২ Tamil ௧௦௦௬௯௯௨ Thai ๑๐๐๖๙๙๒ Tibetan ༡༠༠༦༩༩༢ Khmer ១០០៦៩៩២ Lao ໑໐໐໖໙໙໒ Burmese ၁၀၀၆၉၉၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1006992, here are decompositions:

  • 5 + 1006987 = 1006992
  • 13 + 1006979 = 1006992
  • 23 + 1006969 = 1006992
  • 43 + 1006949 = 1006992
  • 59 + 1006933 = 1006992
  • 101 + 1006891 = 1006992
  • 109 + 1006883 = 1006992
  • 113 + 1006879 = 1006992

Showing the first eight; more decompositions exist.

Hex color
#0F5D90
RGB(15, 93, 144)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.93.144.

Address
0.15.93.144
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.93.144

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 1,006,992 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°.