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1,031,016

1,031,016 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.).

1,031,016 (one million thirty-one thousand sixteen) is an even 7-digit number. It is a composite number with 96 divisors, and factors as 2³ × 3 × 7 × 17 × 19². Its proper divisors sum to 2,260,824, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xFBB68.

Abundant Number Arithmetic Number Harshad / Niven Odious Number Pernicious Number Practical Number Weird Number

Interestingness

Properties

Parity
Even
Digit count
7
Digit sum
12
Digit product
0
Digital root
3
Palindrome
No
Bit width
20 bits
Reversed
6,101,301
Square (n²)
1,062,993,992,256
Cube (n³)
1,095,963,813,919,812,096
Divisor count
96
σ(n) — sum of divisors
3,291,840
φ(n) — Euler's totient
262,656
Sum of prime factors
71

Primality

Prime factorization: 2 3 × 3 × 7 × 17 × 19 2

Nearest primes: 1,031,003 (−13) · 1,031,047 (+31)

Divisors & multiples

All divisors (96)
1 · 2 · 3 · 4 · 6 · 7 · 8 · 12 · 14 · 17 · 19 · 21 · 24 · 28 · 34 · 38 · 42 · 51 · 56 · 57 · 68 · 76 · 84 · 102 · 114 · 119 · 133 · 136 · 152 · 168 · 204 · 228 · 238 · 266 · 323 · 357 · 361 · 399 · 408 · 456 · 476 · 532 · 646 · 714 · 722 · 798 · 952 · 969 · 1064 · 1083 · 1292 · 1428 · 1444 · 1596 · 1938 · 2166 · 2261 · 2527 · 2584 · 2856 · 2888 · 3192 · 3876 · 4332 · 4522 · 5054 · 6137 · 6783 · 7581 · 7752 · 8664 · 9044 · 10108 · 12274 · 13566 · 15162 · 18088 · 18411 · 20216 · 24548 · 27132 · 30324 · 36822 · 42959 · 49096 · 54264 · 60648 · 73644 · 85918 · 128877 · 147288 · 171836 · 257754 · 343672 · 515508 (half) · 1031016
Aliquot sum (sum of proper divisors): 2,260,824
Factor pairs (a × b = 1,031,016)
1 × 1031016
2 × 515508
3 × 343672
4 × 257754
6 × 171836
7 × 147288
8 × 128877
12 × 85918
14 × 73644
17 × 60648
19 × 54264
21 × 49096
24 × 42959
28 × 36822
34 × 30324
38 × 27132
42 × 24548
51 × 20216
56 × 18411
57 × 18088
68 × 15162
76 × 13566
84 × 12274
102 × 10108
114 × 9044
119 × 8664
133 × 7752
136 × 7581
152 × 6783
168 × 6137
204 × 5054
228 × 4522
238 × 4332
266 × 3876
323 × 3192
357 × 2888
361 × 2856
399 × 2584
408 × 2527
456 × 2261
476 × 2166
532 × 1938
646 × 1596
714 × 1444
722 × 1428
798 × 1292
952 × 1083
969 × 1064
First multiples
1,031,016 · 2,062,032 (double) · 3,093,048 · 4,124,064 · 5,155,080 · 6,186,096 · 7,217,112 · 8,248,128 · 9,279,144 · 10,310,160

Sums & aliquot sequence

As consecutive integers: 343,671 + 343,672 + 343,673 147,285 + 147,286 + … + 147,291 64,431 + 64,432 + … + 64,446 60,640 + 60,641 + … + 60,656
Aliquot sequence: 1,031,016 2,260,824 3,391,296 6,118,464 11,547,744 22,885,536 42,614,304 69,248,496 110,176,528 163,270,256 153,065,896 141,558,104 124,175,896 137,470,664 120,286,846 60,938,954 30,469,480 — unresolved within range

Continued fraction of √n

√1,031,016 = [1015; (2, 1, 1, 3, 4, 5, 2, 1, 1, 4, 5, 11, 1, 4, 1, 2, 2, 2, 1, 1, 3, 1, 7, 5, …)]

Representations

In words
one million thirty-one thousand sixteen
Ordinal
1031016th
Binary
11111011101101101000
Octal
3735550
Hexadecimal
0xFBB68
Base64
D7to
One's complement
4,293,936,279 (32-bit)
Scientific notation
1.031016 × 10⁶
As a duration
1,031,016 s = 11 days, 22 hours, 23 minutes, 36 seconds
In other bases
ternary (3) 1221101021210
quaternary (4) 3323231220
quinary (5) 230443031
senary (6) 34033120
septenary (7) 11522610
nonary (9) 1841253
undecimal (11) 644688
duodecimal (12) 4187a0
tridecimal (13) 2a138c
tetradecimal (14) 1cba40
pentadecimal (15) 155746

As an angle

1,031,016° = 2,863 × 360° + 336°
336° ≈ 5.864 rad
Compass bearing: NNW (north-northwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓁨𓂍𓂍𓂍𓆼𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Chinese
一百零三萬一千零一十六
Chinese (financial)
壹佰零參萬壹仟零壹拾陸
In other modern scripts
Eastern Arabic ١٠٣١٠١٦ Devanagari १०३१०१६ Bengali ১০৩১০১৬ Tamil ௧௦௩௧௦௧௬ Thai ๑๐๓๑๐๑๖ Tibetan ༡༠༣༡༠༡༦ Khmer ១០៣១០១៦ Lao ໑໐໓໑໐໑໖ Burmese ၁၀၃၁၀၁၆

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1031016, here are decompositions:

  • 13 + 1031003 = 1031016
  • 23 + 1030993 = 1031016
  • 29 + 1030987 = 1031016
  • 59 + 1030957 = 1031016
  • 67 + 1030949 = 1031016
  • 83 + 1030933 = 1031016
  • 97 + 1030919 = 1031016
  • 127 + 1030889 = 1031016

Showing the first eight; more decompositions exist.

Hex color
#0FBB68
RGB(15, 187, 104)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.187.104.

Address
0.15.187.104
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.187.104

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

Possible date

Could be parsed as a date. Most likely interpretation: Wednesday, January 3, 1016 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)
  • 1016-03-01 (DMMYYYY (Euro, single-digit day))
  • 1016-10-03 (MMDYYYY (US, single-digit day))
  • 1016-03-10 (DDMYYYY (Euro, single-digit month))
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 1,031,016 and was likely granted around 1912.

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°.