Live analysis

1,002,066

1,002,066 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.).

1,002,066 (one million two thousand sixty-six) is an even 7-digit number. It is a composite number with 32 divisors, and factors as 2 × 3 × 13 × 29 × 443. Its proper divisors sum to 1,235,694, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF4A52.

Abundant Number Arithmetic Number Cube-Free Evil Number Practical Number Semiperfect Number Squarefree

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

1,002,054 1,002,055 1,002,056 1,002,057 1,002,058 1,002,059 1,002,060 1,002,061 1,002,062 1,002,063 1,002,064 1,002,065 1,002,066 1,002,067 1,002,068 1,002,069 1,002,070 1,002,071 1,002,072 1,002,073 1,002,074 1,002,075 1,002,076 1,002,077 1,002,078

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 15
Digit product: 0
Digital root: 6
Palindrome: No
Bit width: 20 bits
Reversed: 6,602,001
Square (n²): 1,004,136,268,356
Cube (n³): 1,006,210,813,886,423,496
Divisor count: 32
σ(n) — sum of divisors: 2,237,760
φ(n) — Euler's totient: 297,024
Sum of prime factors: 490

Primality

Prime factorization: 2 × 3 × 13 × 29 × 443

Nearest primes: 1,002,061 (−5) · 1,002,073 (+7)

Divisors & multiples

All divisors (32)

1 · 2 · 3 · 6 · 13 · 26 · 29 · 39 · 58 · 78 · 87 · 174 · 377 · 443 · 754 · 886 · 1131 · 1329 · 2262 · 2658 · 5759 · 11518 · 12847 · 17277 · 25694 · 34554 · 38541 · 77082 · 167011 · 334022 · 501033 (half) · 1002066

Aliquot sum (sum of proper divisors): 1,235,694

Factor pairs (a × b = 1,002,066)

1 × 1002066

2 × 501033

3 × 334022

6 × 167011

13 × 77082

26 × 38541

29 × 34554

39 × 25694

58 × 17277

78 × 12847

87 × 11518

174 × 5759

377 × 2658

443 × 2262

754 × 1329

886 × 1131

First multiples

1,002,066 · 2,004,132 (double) · 3,006,198 · 4,008,264 · 5,010,330 · 6,012,396 · 7,014,462 · 8,016,528 · 9,018,594 · 10,020,660

Sums & aliquot sequence

As consecutive integers: 334,021 + 334,022 + 334,023 250,515 + 250,516 + 250,517 + 250,518 83,500 + 83,501 + … + 83,511 77,076 + 77,077 + … + 77,088

Aliquot sequence: 1,002,066 → 1,235,694 → 1,235,706 → 1,235,718 → 1,722,510 → 2,756,250 → 5,926,788 → 11,807,292 → 21,900,228 → 36,500,604 → 61,132,932 → 115,474,044 → 192,456,964 → 201,122,684 → 201,784,324 → 202,112,764 → 214,624,452 — unresolved within range

Continued fraction of √n

√1,002,066 = [1001; (30, 1, 4, 79, 1, 7, 2, 2, 1, 4, 3, 3, 1, 2, 2, 3, 2, 1, 3, 3, 86, 1, 2, 1, …)]

Period length 60 — the block in parentheses repeats forever.

Representations

In words: one million two thousand sixty-six
Ordinal: 1002066th
Binary: 11110100101001010010
Octal: 3645122
Hexadecimal: 0xF4A52
Base64: D0pS
One's complement: 4,293,965,229 (32-bit)
Scientific notation: 1.002066 × 10⁶
As a duration: 1,002,066 s = 11 days, 14 hours, 21 minutes, 6 seconds

In other bases

ternary (3) 1212220120120

quaternary (4) 3310221102

quinary (5) 224031231

senary (6) 33251110

septenary (7) 11342322

nonary (9) 1786516

undecimal (11) 62495a

duodecimal (12) 403a96

tridecimal (13) 291150

tetradecimal (14) 1c1282

pentadecimal (15) 14bd96

As an angle

1,002,066° = 2,783 × 360° + 186°

186° ≈ 3.246 rad

Compass bearing: S (south)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹 𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓁨𓆼𓆼𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Chinese: 一百萬二千零六十六
Chinese (financial): 壹佰萬貳仟零陸拾陸

In other modern scripts

Eastern Arabic ١٠٠٢٠٦٦ Devanagari १००२०६६ Bengali ১০০২০৬৬ Tamil ௧௦௦௨௦௬௬ Thai ๑๐๐๒๐๖๖ Tibetan ༡༠༠༢༠༦༦ Khmer ១០០២០៦៦ Lao ໑໐໐໒໐໖໖ Burmese ၁၀၀၂၀၆၆

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1002066, here are decompositions:

5 + 1002061 = 1002066
17 + 1002049 = 1002066
83 + 1001983 = 1002066
89 + 1001977 = 1002066
113 + 1001953 = 1002066
227 + 1001839 = 1002066
257 + 1001809 = 1002066
269 + 1001797 = 1002066

Showing the first eight; more decompositions exist.

Hex color

#0F4A52

RGB(15, 74, 82)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.74.82.

Address: 0.15.74.82
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.74.82

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 1,002,066 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 US1,002,066 on Google Patents ↗ Look up on USPTO ↗