Live analysis

1,007,022

1,007,022 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.).

1,007,022 (one million seven thousand twenty-two) is an even 7-digit number. It is a composite number with 16 divisors, and factors as 2 × 3 × 47 × 3,571. Its proper divisors sum to 1,050,450, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF5DAE.

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

Interestingness

★ ★ ☆ ☆ ☆

4 notable facts · grade D

1,007,010 1,007,011 1,007,012 1,007,013 1,007,014 1,007,015 1,007,016 1,007,017 1,007,018 1,007,019 1,007,020 1,007,021 1,007,022 1,007,023 1,007,024 1,007,025 1,007,026 1,007,027 1,007,028 1,007,029 1,007,030 1,007,031 1,007,032 1,007,033 1,007,034

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 12
Digit product: 0
Digital root: 3
Palindrome: No
Bit width: 20 bits
Reversed: 2,207,001
Square (n²): 1,014,093,308,484
Cube (n³): 1,021,214,271,696,174,648
Divisor count: 16
σ(n) — sum of divisors: 2,057,472
φ(n) — Euler's totient: 328,440
Sum of prime factors: 3,623

Primality

Prime factorization: 2 × 3 × 47 × 3571

Nearest primes: 1,007,021 (−1) · 1,007,023 (+1)

Divisors & multiples

All divisors (16)

1 · 2 · 3 · 6 · 47 · 94 · 141 · 282 · 3571 · 7142 · 10713 · 21426 · 167837 · 335674 · 503511 (half) · 1007022

Aliquot sum (sum of proper divisors): 1,050,450

Factor pairs (a × b = 1,007,022)

1 × 1007022

2 × 503511

3 × 335674

6 × 167837

47 × 21426

94 × 10713

141 × 7142

282 × 3571

First multiples

1,007,022 · 2,014,044 (double) · 3,021,066 · 4,028,088 · 5,035,110 · 6,042,132 · 7,049,154 · 8,056,176 · 9,063,198 · 10,070,220

Sums & aliquot sequence

As consecutive integers: 335,673 + 335,674 + 335,675 251,754 + 251,755 + 251,756 + 251,757 83,913 + 83,914 + … + 83,924 21,403 + 21,404 + … + 21,449

Aliquot sequence: 1,007,022 → 1,050,450 → 1,627,950 → 2,409,738 → 2,434,038 → 2,449,722 → 2,895,270 → 5,523,546 → 7,171,494 → 8,584,410 → 12,410,790 → 21,997,146 → 22,054,758 → 26,405,274 → 34,397,286 → 51,373,722 → 53,563,110 — unresolved within range

Continued fraction of √n

√1,007,022 = [1003; (1, 1, 50, 1, 25, 11, 1, 5, 6, 1, 4, 1, 2, 6, 5, 2, 3, 4, 6, 4, 1, 1, 5, 1, …)]

Period length 60 — the block in parentheses repeats forever.

Representations

In words: one million seven thousand twenty-two
Ordinal: 1007022nd
Binary: 11110101110110101110
Octal: 3656656
Hexadecimal: 0xF5DAE
Base64: D12u
One's complement: 4,293,960,273 (32-bit)
Scientific notation: 1.007022 × 10⁶
As a duration: 1,007,022 s = 11 days, 15 hours, 43 minutes, 42 seconds

In other bases

ternary (3) 1220011101010

quaternary (4) 3311312232

quinary (5) 224211042

senary (6) 33330050

septenary (7) 11362632

nonary (9) 1804333

undecimal (11) 628655

duodecimal (12) 406926

tridecimal (13) 293493

tetradecimal (14) 1c2dc2

pentadecimal (15) 14d59c

As an angle

1,007,022° = 2,797 × 360° + 102°

102° ≈ 1.78 rad

Compass bearing: ESE (east-southeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic: 𓁨𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓎆𓎆𓏺𓏺
Chinese: 一百萬七千零二十二
Chinese (financial): 壹佰萬柒仟零貳拾貳

In other modern scripts

Eastern Arabic ١٠٠٧٠٢٢ Devanagari १००७०२२ Bengali ১০০৭০২২ Tamil ௧௦௦௭௦௨௨ Thai ๑๐๐๗๐๒๒ Tibetan ༡༠༠༧༠༢༢ Khmer ១០០៧០២២ Lao ໑໐໐໗໐໒໒ Burmese ၁၀၀၇၀၂၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1007022, here are decompositions:

31 + 1006991 = 1007022
43 + 1006979 = 1007022
53 + 1006969 = 1007022
73 + 1006949 = 1007022
89 + 1006933 = 1007022
131 + 1006891 = 1007022
139 + 1006883 = 1007022
223 + 1006799 = 1007022

Showing the first eight; more decompositions exist.

Hex color

#0F5DAE

RGB(15, 93, 174)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.93.174.

Address: 0.15.93.174
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.93.174

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 1,007,022 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 US1,007,022 on Google Patents ↗ Look up on USPTO ↗

Position in π

The digit sequence 1007022 first appears in π at position 60,321 of the decimal expansion (the 60,321ordinal-suffix:st digit after the integer 3).

Search range: the first 1,000,000 fractional digits of π. Any 6-digit-or-shorter string is virtually guaranteed to appear in there — the more interesting signal is the position.

Look up 1007022 on Pi Search ↗