Live analysis

1,010,106

1,010,106 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.).

1,010,106 (one million ten thousand one hundred six) is an even 7-digit number. It is a composite number with 24 divisors, and factors as 2 × 3² × 17 × 3,301. Its proper divisors sum to 1,307,898, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF69BA.

Abundant Number Cube-Free Flippable Harshad / Niven Odious Number Pernicious Number Semiperfect Number

Interestingness

★ ★ ☆ ☆ ☆

4 notable facts · grade D

1,010,094 1,010,095 1,010,096 1,010,097 1,010,098 1,010,099 1,010,100 1,010,101 1,010,102 1,010,103 1,010,104 1,010,105 1,010,106 1,010,107 1,010,108 1,010,109 1,010,110 1,010,111 1,010,112 1,010,113 1,010,114 1,010,115 1,010,116 1,010,117 1,010,118

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 9
Digit product: 0
Digital root: 9
Palindrome: No
Bit width: 20 bits
Reversed: 6,010,101
Flips to (rotate 180°): 9,010,101
Square (n²): 1,020,314,131,236
Cube (n³): 1,030,625,425,846,271,016
Divisor count: 24
σ(n) — sum of divisors: 2,318,004
φ(n) — Euler's totient: 316,800
Sum of prime factors: 3,326

Primality

Prime factorization: 2 × 3 ² × 17 × 3301

Nearest primes: 1,010,083 (−23) · 1,010,129 (+23)

Divisors & multiples

All divisors (24)

1 · 2 · 3 · 6 · 9 · 17 · 18 · 34 · 51 · 102 · 153 · 306 · 3301 · 6602 · 9903 · 19806 · 29709 · 56117 · 59418 · 112234 · 168351 · 336702 · 505053 (half) · 1010106

Aliquot sum (sum of proper divisors): 1,307,898

Factor pairs (a × b = 1,010,106)

1 × 1010106

2 × 505053

3 × 336702

6 × 168351

9 × 112234

17 × 59418

18 × 56117

34 × 29709

51 × 19806

102 × 9903

153 × 6602

306 × 3301

First multiples

1,010,106 · 2,020,212 (double) · 3,030,318 · 4,040,424 · 5,050,530 · 6,060,636 · 7,070,742 · 8,080,848 · 9,090,954 · 10,101,060

Sums & aliquot sequence

As a sum of two squares: 9² + 1,005² = 465² + 891²

As consecutive integers: 336,701 + 336,702 + 336,703 252,525 + 252,526 + 252,527 + 252,528 112,230 + 112,231 + … + 112,238 84,170 + 84,171 + … + 84,181

Aliquot sequence: 1,010,106 → 1,307,898 → 1,525,920 → 4,044,288 → 6,734,040 → 14,662,920 → 29,971,320 → 60,316,680 → 131,283,960 → 266,220,840 → 542,094,360 → 1,184,177,640 → 2,368,355,640 → 5,751,723,720 → 11,503,447,800 — keeps growing

Continued fraction of √n

√1,010,106 = [1005; (24, 1, 4, 2, 2, 2, 2, 1, 6, 16, 2, 6, 3, 1, 1, 6, 1, 5, 1, 1, 1, 1, 1, 1, …)]

Representations

In words: one million ten thousand one hundred six
Ordinal: 1010106th
Binary: 11110110100110111010
Octal: 3664672
Hexadecimal: 0xF69BA
Base64: D2m6
One's complement: 4,293,957,189 (32-bit)
Scientific notation: 1.010106 × 10⁶
As a duration: 1,010,106 s = 11 days, 16 hours, 35 minutes, 6 seconds

In other bases

ternary (3) 1220022121100

quaternary (4) 3312212322

quinary (5) 224310411

senary (6) 33352230

septenary (7) 11404626

nonary (9) 1808540

undecimal (11) 62a9a9

duodecimal (12) 408676

tridecimal (13) 2949c6

tetradecimal (14) 1c4186

pentadecimal (15) 14e456

As an angle

1,010,106° = 2,805 × 360° + 306°

306° ≈ 5.341 rad

Compass bearing: NW (northwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓁨𓂍𓍢𓏺𓏺𓏺𓏺𓏺𓏺
Chinese: 一百零一萬零一百零六
Chinese (financial): 壹佰零壹萬零壹佰零陸

In other modern scripts

Eastern Arabic ١٠١٠١٠٦ Devanagari १०१०१०६ Bengali ১০১০১০৬ Tamil ௧௦௧௦௧௦௬ Thai ๑๐๑๐๑๐๖ Tibetan ༡༠༡༠༡༠༦ Khmer ១០១០១០៦ Lao ໑໐໑໐໑໐໖ Burmese ၁၀၁၀၁၀၆

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1010106, here are decompositions:

23 + 1010083 = 1010106
37 + 1010069 = 1010106
73 + 1010033 = 1010106
103 + 1010003 = 1010106
109 + 1009997 = 1010106
113 + 1009993 = 1010106
179 + 1009927 = 1010106
197 + 1009909 = 1010106

Showing the first eight; more decompositions exist.

Hex color

#0F69BA

RGB(15, 105, 186)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.105.186.

Address: 0.15.105.186
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.105.186

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

Possible date

Could be parsed as a date. Most likely interpretation: Friday, January 1, 0106 (MDDYYYY (US, single-digit month)).

Other possible interpretations (2)

0106-10-01 (MMDYYYY (US, single-digit day))
0106-01-10 (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 1,010,106 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 US1,010,106 on Google Patents ↗ Look up on USPTO ↗