Live analysis

1,002,106

1,002,106 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.).

1,002,106 (one million two thousand one hundred six) is an even 7-digit number. It is a composite number with 16 divisors, and factors as 2 × 7 × 31 × 2,309. Written other ways, in hexadecimal, 0xF4A7A.

Arithmetic Number Cube-Free Deficient Number Evil Number Squarefree

Interestingness

★ ☆ ☆ ☆ ☆

3 notable facts · grade F

1,002,094 1,002,095 1,002,096 1,002,097 1,002,098 1,002,099 1,002,100 1,002,101 1,002,102 1,002,103 1,002,104 1,002,105 1,002,106 1,002,107 1,002,108 1,002,109 1,002,110 1,002,111 1,002,112 1,002,113 1,002,114 1,002,115 1,002,116 1,002,117 1,002,118

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 10
Digit product: 0
Digital root: 1
Palindrome: No
Bit width: 20 bits
Reversed: 6,012,001
Square (n²): 1,004,216,435,236
Cube (n³): 1,006,331,315,048,607,016
Divisor count: 16
σ(n) — sum of divisors: 1,774,080
φ(n) — Euler's totient: 415,440
Sum of prime factors: 2,349

Primality

Prime factorization: 2 × 7 × 31 × 2309

Nearest primes: 1,002,101 (−5) · 1,002,109 (+3)

Divisors & multiples

All divisors (16)

1 · 2 · 7 · 14 · 31 · 62 · 217 · 434 · 2309 · 4618 · 16163 · 32326 · 71579 · 143158 · 501053 (half) · 1002106

Aliquot sum (sum of proper divisors): 771,974

Factor pairs (a × b = 1,002,106)

1 × 1002106

2 × 501053

7 × 143158

14 × 71579

31 × 32326

62 × 16163

217 × 4618

434 × 2309

First multiples

1,002,106 · 2,004,212 (double) · 3,006,318 · 4,008,424 · 5,010,530 · 6,012,636 · 7,014,742 · 8,016,848 · 9,018,954 · 10,021,060

Sums & aliquot sequence

As consecutive integers: 250,525 + 250,526 + 250,527 + 250,528 143,155 + 143,156 + … + 143,161 35,776 + 35,777 + … + 35,803 32,311 + 32,312 + … + 32,341

Aliquot sequence: 1,002,106 → 771,974 → 572,794 → 286,400 → 422,260 → 486,956 → 426,964 → 325,760 → 454,540 → 500,036 → 396,664 → 353,936 → 394,528 → 382,262 → 224,914 → 115,934 → 103,666 — unresolved within range

Continued fraction of √n

√1,002,106 = [1001; (19, 14, 1, 7, 1, 27, 3, 4, 1, 1, 4, 6, 1, 3, 9, 1, 2, 2, 1, 5, 333, 1, 1, 28, …)]

Representations

In words: one million two thousand one hundred six
Ordinal: 1002106th
Binary: 11110100101001111010
Octal: 3645172
Hexadecimal: 0xF4A7A
Base64: D0p6
One's complement: 4,293,965,189 (32-bit)
Scientific notation: 1.002106 × 10⁶
As a duration: 1,002,106 s = 11 days, 14 hours, 21 minutes, 46 seconds

In other bases

ternary (3) 1212220122001

quaternary (4) 3310221322

quinary (5) 224031411

senary (6) 33251214

septenary (7) 11342410

nonary (9) 1786561

undecimal (11) 624996

duodecimal (12) 403b0a

tridecimal (13) 291181

tetradecimal (14) 1c12b0

pentadecimal (15) 14bdc1

As an angle

1,002,106° = 2,783 × 360° + 226°

226° ≈ 3.944 rad

Compass bearing: SW (southwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓁨𓆼𓆼𓍢𓏺𓏺𓏺𓏺𓏺𓏺
Chinese: 一百萬二千一百零六
Chinese (financial): 壹佰萬貳仟壹佰零陸

In other modern scripts

Eastern Arabic ١٠٠٢١٠٦ Devanagari १००२१०६ Bengali ১০০২১০৬ Tamil ௧௦௦௨௧௦௬ Thai ๑๐๐๒๑๐๖ Tibetan ༡༠༠༢༡༠༦ Khmer ១០០២១០៦ Lao ໑໐໐໒໑໐໖ Burmese ၁၀၀၂၁၀၆

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1002106, here are decompositions:

5 + 1002101 = 1002106
23 + 1002083 = 1002106
29 + 1002077 = 1002106
89 + 1002017 = 1002106
173 + 1001933 = 1002106
383 + 1001723 = 1002106
419 + 1001687 = 1002106
467 + 1001639 = 1002106

Showing the first eight; more decompositions exist.

Hex color

#0F4A7A

RGB(15, 74, 122)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.74.122.

Address: 0.15.74.122
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.74.122

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 1,002,106 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 US1,002,106 on Google Patents ↗ Look up on USPTO ↗