Live analysis

1,010,010

1,010,010 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.).

1,010,010 (one million ten thousand ten) is an even 7-digit number. It is a composite number with 32 divisors, and factors as 2 × 3 × 5 × 131 × 257. Its proper divisors sum to 1,442,022, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF695A.

Abundant Number Arithmetic Number Cube-Free Evil Number Flippable Gapful Number Harshad / Niven Semiperfect Number Squarefree

Interestingness

★ ★ ★ ★ ☆

7 notable facts · grade B

1,009,998 1,009,999 1,010,000 1,010,001 1,010,002 1,010,003 1,010,004 1,010,005 1,010,006 1,010,007 1,010,008 1,010,009 1,010,010 1,010,011 1,010,012 1,010,013 1,010,014 1,010,015 1,010,016 1,010,017 1,010,018 1,010,019 1,010,020 1,010,021 1,010,022

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 3
Digit product: 0
Digital root: 3
Palindrome: No
Bit width: 20 bits
Reversed: 100,101
Flips to (rotate 180°): 100,101
Square (n²): 1,020,120,200,100
Cube (n³): 1,030,331,603,303,001,000
Divisor count: 32
σ(n) — sum of divisors: 2,452,032
φ(n) — Euler's totient: 266,240
Sum of prime factors: 398

Primality

Prime factorization: 2 × 3 × 5 × 131 × 257

Nearest primes: 1,010,003 (−7) · 1,010,033 (+23)

Divisors & multiples

All divisors (32)

1 · 2 · 3 · 5 · 6 · 10 · 15 · 30 · 131 · 257 · 262 · 393 · 514 · 655 · 771 · 786 · 1285 · 1310 · 1542 · 1965 · 2570 · 3855 · 3930 · 7710 · 33667 · 67334 · 101001 · 168335 · 202002 · 336670 · 505005 (half) · 1010010

Aliquot sum (sum of proper divisors): 1,442,022

Factor pairs (a × b = 1,010,010)

1 × 1010010

2 × 505005

3 × 336670

5 × 202002

6 × 168335

10 × 101001

15 × 67334

30 × 33667

131 × 7710

257 × 3930

262 × 3855

393 × 2570

514 × 1965

655 × 1542

771 × 1310

786 × 1285

First multiples

1,010,010 · 2,020,020 (double) · 3,030,030 · 4,040,040 · 5,050,050 · 6,060,060 · 7,070,070 · 8,080,080 · 9,090,090 · 10,100,100

Sums & aliquot sequence

As consecutive integers: 336,669 + 336,670 + 336,671 252,501 + 252,502 + 252,503 + 252,504 202,000 + 202,001 + 202,002 + 202,003 + 202,004 84,162 + 84,163 + … + 84,173

Aliquot sequence: 1,010,010 → 1,442,022 → 1,463,178 → 1,463,190 → 2,476,650 → 4,665,750 → 6,981,834 → 7,589,238 → 7,589,250 → 12,938,166 → 15,169,914 → 17,788,986 → 20,901,978 → 24,962,022 → 29,122,398 → 34,210,170 → 55,025,262 — unresolved within range

Continued fraction of √n

√1,010,010 = [1004; (1, 132, 1, 2008)]

Period length 4 — the block in parentheses repeats forever.

Representations

In words: one million ten thousand ten
Ordinal: 1010010th
Binary: 11110110100101011010
Octal: 3664532
Hexadecimal: 0xF695A
Base64: D2la
One's complement: 4,293,957,285 (32-bit)
Scientific notation: 1.01001 × 10⁶
As a duration: 1,010,010 s = 11 days, 16 hours, 33 minutes, 30 seconds

In other bases

ternary (3) 1220022110210

quaternary (4) 3312211122

quinary (5) 224310020

senary (6) 33351550

septenary (7) 11404431

nonary (9) 1808423

undecimal (11) 62a921

duodecimal (12) 4085b6

tridecimal (13) 294951

tetradecimal (14) 1c4118

pentadecimal (15) 14e3e0

As an angle

1,010,010° = 2,805 × 360° + 210°

210° ≈ 3.665 rad

Compass bearing: SSW (south-southwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋 𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋
Egyptian hieroglyphic: 𓁨𓂍𓎆
Chinese: 一百零一萬零一十
Chinese (financial): 壹佰零壹萬零壹拾

In other modern scripts

Eastern Arabic ١٠١٠٠١٠ Devanagari १०१००१० Bengali ১০১০০১০ Tamil ௧௦௧௦௦௧௦ Thai ๑๐๑๐๐๑๐ Tibetan ༡༠༡༠༠༡༠ Khmer ១០១០០១០ Lao ໑໐໑໐໐໑໐ Burmese ၁၀၁၀၀၁၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1010010, here are decompositions:

7 + 1010003 = 1010010
13 + 1009997 = 1010010
17 + 1009993 = 1010010
19 + 1009991 = 1010010
47 + 1009963 = 1010010
59 + 1009951 = 1010010
73 + 1009937 = 1010010
83 + 1009927 = 1010010

Showing the first eight; more decompositions exist.

Hex color

#0F695A

RGB(15, 105, 90)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.105.90.

Address: 0.15.105.90
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.105.90

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

Possible date

Could be parsed as a date. Most likely interpretation: Friday, January 1, 0010 (MDDYYYY (US, single-digit month)).

Other possible interpretations (2)

0010-10-01 (MMDYYYY (US, single-digit day))
0010-01-10 (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 1,010,010 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 US1,010,010 on Google Patents ↗ Look up on USPTO ↗