Live analysis

1,016,106

1,016,106 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.).

1,016,106 (one million sixteen thousand one hundred six) is an even 7-digit number. It is a composite number with 32 divisors, and factors as 2 × 3 × 7 × 13 × 1,861. Its proper divisors sum to 1,486,422, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF812A.

Abundant Number Arithmetic Number Cube-Free Flippable Odious Number Semiperfect Number Squarefree

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

1,016,094 1,016,095 1,016,096 1,016,097 1,016,098 1,016,099 1,016,100 1,016,101 1,016,102 1,016,103 1,016,104 1,016,105 1,016,106 1,016,107 1,016,108 1,016,109 1,016,110 1,016,111 1,016,112 1,016,113 1,016,114 1,016,115 1,016,116 1,016,117 1,016,118

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 15
Digit product: 0
Digital root: 6
Palindrome: No
Bit width: 20 bits
Reversed: 6,016,101
Flips to (rotate 180°): 9,019,101
Square (n²): 1,032,471,403,236
Cube (n³): 1,049,100,387,656,519,016
Divisor count: 32
σ(n) — sum of divisors: 2,502,528
φ(n) — Euler's totient: 267,840
Sum of prime factors: 1,886

Primality

Prime factorization: 2 × 3 × 7 × 13 × 1861

Nearest primes: 1,016,089 (−17) · 1,016,111 (+5)

Divisors & multiples

All divisors (32)

1 · 2 · 3 · 6 · 7 · 13 · 14 · 21 · 26 · 39 · 42 · 78 · 91 · 182 · 273 · 546 · 1861 · 3722 · 5583 · 11166 · 13027 · 24193 · 26054 · 39081 · 48386 · 72579 · 78162 · 145158 · 169351 · 338702 · 508053 (half) · 1016106

Aliquot sum (sum of proper divisors): 1,486,422

Factor pairs (a × b = 1,016,106)

1 × 1016106

2 × 508053

3 × 338702

6 × 169351

7 × 145158

13 × 78162

14 × 72579

21 × 48386

26 × 39081

39 × 26054

42 × 24193

78 × 13027

91 × 11166

182 × 5583

273 × 3722

546 × 1861

First multiples

1,016,106 · 2,032,212 (double) · 3,048,318 · 4,064,424 · 5,080,530 · 6,096,636 · 7,112,742 · 8,128,848 · 9,144,954 · 10,161,060

Sums & aliquot sequence

As consecutive integers: 338,701 + 338,702 + 338,703 254,025 + 254,026 + 254,027 + 254,028 145,155 + 145,156 + … + 145,161 84,670 + 84,671 + … + 84,681

Aliquot sequence: 1,016,106 → 1,486,422 → 2,287,530 → 4,511,574 → 5,263,542 → 6,531,054 → 7,016,466 → 7,016,478 → 10,567,650 → 15,640,494 → 15,759,186 → 17,129,838 → 20,391,954 → 24,674,286 → 36,063,762 → 49,391,790 → 86,083,410 — unresolved within range

Continued fraction of √n

√1,016,106 = [1008; (48, 2016)]

Period length 2 — the block in parentheses repeats forever.

Representations

In words: one million sixteen thousand one hundred six
Ordinal: 1016106th
Binary: 11111000000100101010
Octal: 3700452
Hexadecimal: 0xF812A
Base64: D4Eq
One's complement: 4,293,951,189 (32-bit)
Scientific notation: 1.016106 × 10⁶
As a duration: 1,016,106 s = 11 days, 18 hours, 15 minutes, 6 seconds

In other bases

ternary (3) 1220121211120

quaternary (4) 3320010222

quinary (5) 230003411

senary (6) 33440110

septenary (7) 11431260

nonary (9) 1817746

undecimal (11) 634463

duodecimal (12) 410036

tridecimal (13) 297660

tetradecimal (14) 1c6430

pentadecimal (15) 151106

As an angle

1,016,106° = 2,822 × 360° + 186°

186° ≈ 3.246 rad

Compass bearing: S (south)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓁨𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓏺𓏺𓏺𓏺𓏺𓏺
Chinese: 一百零一萬六千一百零六
Chinese (financial): 壹佰零壹萬陸仟壹佰零陸

In other modern scripts

Eastern Arabic ١٠١٦١٠٦ Devanagari १०१६१०६ Bengali ১০১৬১০৬ Tamil ௧௦௧௬௧௦௬ Thai ๑๐๑๖๑๐๖ Tibetan ༡༠༡༦༡༠༦ Khmer ១០១៦១០៦ Lao ໑໐໑໖໑໐໖ Burmese ၁၀၁၆၁၀၆

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1016106, here are decompositions:

17 + 1016089 = 1016106
23 + 1016083 = 1016106
37 + 1016069 = 1016106
53 + 1016053 = 1016106
73 + 1016033 = 1016106
79 + 1016027 = 1016106
83 + 1016023 = 1016106
97 + 1016009 = 1016106

Showing the first eight; more decompositions exist.

Hex color

#0F812A

RGB(15, 129, 42)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.129.42.

Address: 0.15.129.42
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.129.42

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

Possible date

Could be parsed as a date. Most likely interpretation: Friday, January 1, 6106 (MDDYYYY (US, single-digit month)).

Other possible interpretations (2)

6106-10-01 (MMDYYYY (US, single-digit day))
6106-01-10 (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 1,016,106 and was likely granted around 1911.

Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.

Look up US1,016,106 on Google Patents ↗ Look up on USPTO ↗