Live analysis

1,001,022

1,001,022 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.).

1,001,022 (one million one thousand twenty-two) is an even 7-digit number. It is a composite number with 32 divisors, and factors as 2 × 3 × 11 × 29 × 523. Its proper divisors sum to 1,262,658, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF463E.

Abundant Number Arithmetic Number Cube-Free Evil Number Happy Number Harshad / Niven Practical Number Self Number Semiperfect Number Squarefree

Interestingness

★ ★ ★ ★ ★

8 notable facts · grade A

1,001,010 1,001,011 1,001,012 1,001,013 1,001,014 1,001,015 1,001,016 1,001,017 1,001,018 1,001,019 1,001,020 1,001,021 1,001,022 1,001,023 1,001,024 1,001,025 1,001,026 1,001,027 1,001,028 1,001,029 1,001,030 1,001,031 1,001,032 1,001,033 1,001,034

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 6
Digit product: 0
Digital root: 6
Palindrome: No
Bit width: 20 bits
Reversed: 2,201,001
Square (n²): 1,002,045,044,484
Cube (n³): 1,003,069,134,519,462,648
Divisor count: 32
σ(n) — sum of divisors: 2,263,680
φ(n) — Euler's totient: 292,320
Sum of prime factors: 568

Primality

Prime factorization: 2 × 3 × 11 × 29 × 523

Nearest primes: 1,001,017 (−5) · 1,001,023 (+1)

Divisors & multiples

All divisors (32)

1 · 2 · 3 · 6 · 11 · 22 · 29 · 33 · 58 · 66 · 87 · 174 · 319 · 523 · 638 · 957 · 1046 · 1569 · 1914 · 3138 · 5753 · 11506 · 15167 · 17259 · 30334 · 34518 · 45501 · 91002 · 166837 · 333674 · 500511 (half) · 1001022

Aliquot sum (sum of proper divisors): 1,262,658

Factor pairs (a × b = 1,001,022)

1 × 1001022

2 × 500511

3 × 333674

6 × 166837

11 × 91002

22 × 45501

29 × 34518

33 × 30334

58 × 17259

66 × 15167

87 × 11506

174 × 5753

319 × 3138

523 × 1914

638 × 1569

957 × 1046

First multiples

1,001,022 · 2,002,044 (double) · 3,003,066 · 4,004,088 · 5,005,110 · 6,006,132 · 7,007,154 · 8,008,176 · 9,009,198 · 10,010,220

Sums & aliquot sequence

As consecutive integers: 333,673 + 333,674 + 333,675 250,254 + 250,255 + 250,256 + 250,257 90,997 + 90,998 + … + 91,007 83,413 + 83,414 + … + 83,424

Aliquot sequence: 1,001,022 → 1,262,658 → 1,411,422 → 1,454,370 → 2,036,190 → 3,479,586 → 4,112,382 → 4,465,698 → 4,465,710 → 7,763,130 → 12,421,242 → 16,989,318 → 22,409,082 → 28,212,678 → 39,306,522 → 39,306,534 → 40,118,154 — unresolved within range

Continued fraction of √n

√1,001,022 = [1000; (1, 1, 22, 1, 1, 2000)]

Period length 6 — the block in parentheses repeats forever.

Representations

In words: one million one thousand twenty-two
Ordinal: 1001022nd
Binary: 11110100011000111110
Octal: 3643076
Hexadecimal: 0xF463E
Base64: D0Y+
One's complement: 4,293,966,273 (32-bit)
Scientific notation: 1.001022 × 10⁶
As a duration: 1,001,022 s = 11 days, 14 hours, 3 minutes, 42 seconds

In other bases

ternary (3) 1212212010220

quaternary (4) 3310120332

quinary (5) 224013042

senary (6) 33242210

septenary (7) 11336301

nonary (9) 1785126

undecimal (11) 6240a0

duodecimal (12) 403366

tridecimal (13) 290829

tetradecimal (14) 1c0b38

pentadecimal (15) 14b8ec

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic: 𓁨𓆼𓎆𓎆𓏺𓏺
Chinese: 一百萬一千零二十二
Chinese (financial): 壹佰萬壹仟零貳拾貳

In other modern scripts

Eastern Arabic ١٠٠١٠٢٢ Devanagari १००१०२२ Bengali ১০০১০২২ Tamil ௧௦௦௧௦௨௨ Thai ๑๐๐๑๐๒๒ Tibetan ༡༠༠༡༠༢༢ Khmer ១០០១០២២ Lao ໑໐໐໑໐໒໒ Burmese ၁၀၀၁၀၂၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1001022, here are decompositions:

5 + 1001017 = 1001022
19 + 1001003 = 1001022
23 + 1000999 = 1001022
41 + 1000981 = 1001022
53 + 1000969 = 1001022
101 + 1000921 = 1001022
103 + 1000919 = 1001022
163 + 1000859 = 1001022

Showing the first eight; more decompositions exist.

Hex color

#0F463E

RGB(15, 70, 62)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.70.62.

Address: 0.15.70.62
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.70.62

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 1,001,022 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 US1,001,022 on Google Patents ↗ Look up on USPTO ↗