Live analysis

1,001,066

1,001,066 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.).

1,001,066 (one million one thousand sixty-six) is an even 7-digit number. It is a composite number with 8 divisors, and factors as 2 × 11 × 45,503. Written other ways, in hexadecimal, 0xF466A.

Arithmetic Number Cube-Free Deficient Number Flippable Odious Number Pernicious Number Self Number Sphenic Number Squarefree

Interestingness

★ ★ ★ ★ ☆

6 notable facts · grade B

1,001,054 1,001,055 1,001,056 1,001,057 1,001,058 1,001,059 1,001,060 1,001,061 1,001,062 1,001,063 1,001,064 1,001,065 1,001,066 1,001,067 1,001,068 1,001,069 1,001,070 1,001,071 1,001,072 1,001,073 1,001,074 1,001,075 1,001,076 1,001,077 1,001,078

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 14
Digit product: 0
Digital root: 5
Palindrome: No
Bit width: 20 bits
Reversed: 6,601,001
Flips to (rotate 180°): 9,901,001
Square (n²): 1,002,133,136,356
Cube (n³): 1,003,201,410,279,355,496
Divisor count: 8
σ(n) — sum of divisors: 1,638,144
φ(n) — Euler's totient: 455,020
Sum of prime factors: 45,516

Primality

Prime factorization: 2 × 11 × 45503

Nearest primes: 1,001,041 (−25) · 1,001,069 (+3)

Divisors & multiples

All divisors (8)

1 · 2 · 11 · 22 · 45503 · 91006 · 500533 (half) · 1001066

Aliquot sum (sum of proper divisors): 637,078

Factor pairs (a × b = 1,001,066)

1 × 1001066

2 × 500533

11 × 91006

22 × 45503

First multiples

1,001,066 · 2,002,132 (double) · 3,003,198 · 4,004,264 · 5,005,330 · 6,006,396 · 7,007,462 · 8,008,528 · 9,009,594 · 10,010,660

Sums & aliquot sequence

As consecutive integers: 250,265 + 250,266 + 250,267 + 250,268 91,001 + 91,002 + … + 91,011 22,730 + 22,731 + … + 22,773

Aliquot sequence: 1,001,066 → 637,078 → 406,202 → 210,694 → 141,962 → 70,984 → 69,416 → 60,754 → 32,954 → 16,480 → 22,832 → 21,436 → 17,876 → 14,464 → 14,606 → 7,834 → 3,920 — unresolved within range

Continued fraction of √n

√1,001,066 = [1000; (1, 1, 7, 9, 4, 1, 1, 2, 35, 1, 116, 1, 2, 1, 4, 6, 1, 79, 5, 1, 1, 15, 1, 5, …)]

Representations

In words: one million one thousand sixty-six
Ordinal: 1001066th
Binary: 11110100011001101010
Octal: 3643152
Hexadecimal: 0xF466A
Base64: D0Zq
One's complement: 4,293,966,229 (32-bit)
Scientific notation: 1.001066 × 10⁶
As a duration: 1,001,066 s = 11 days, 14 hours, 4 minutes, 26 seconds

In other bases

ternary (3) 1212212012112

quaternary (4) 3310121222

quinary (5) 224013231

senary (6) 33242322

septenary (7) 11336363

nonary (9) 1785175

undecimal (11) 624130

duodecimal (12) 4033a2

tridecimal (13) 290861

tetradecimal (14) 1c0b6a

pentadecimal (15) 14b92b

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓁨𓆼𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Chinese: 一百萬一千零六十六
Chinese (financial): 壹佰萬壹仟零陸拾陸

In other modern scripts

Eastern Arabic ١٠٠١٠٦٦ Devanagari १००१०६६ Bengali ১০০১০৬৬ Tamil ௧௦௦௧௦௬௬ Thai ๑๐๐๑๐๖๖ Tibetan ༡༠༠༡༠༦༦ Khmer ១០០១០៦៦ Lao ໑໐໐໑໐໖໖ Burmese ၁၀၀၁၀၆၆

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1001066, here are decompositions:

43 + 1001023 = 1001066
67 + 1000999 = 1001066
97 + 1000969 = 1001066
397 + 1000669 = 1001066
457 + 1000609 = 1001066
487 + 1000579 = 1001066
613 + 1000453 = 1001066
643 + 1000423 = 1001066

Showing the first eight; more decompositions exist.

Hex color

#0F466A

RGB(15, 70, 106)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.70.106.

Address: 0.15.70.106
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.70.106

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 1,001,066 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 US1,001,066 on Google Patents ↗ Look up on USPTO ↗