Live analysis

1,013,022

1,013,022 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.).

1,013,022 (one million thirteen thousand twenty-two) is an even 7-digit number. It is a composite number with 24 divisors, and factors as 2 × 3² × 167 × 337. Its proper divisors sum to 1,201,554, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF751E.

Abundant Number Arithmetic Number Cube-Free Happy Number Harshad / Niven Odious Number Pernicious Number Semiperfect Number

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

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

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 9
Digit product: 0
Digital root: 9
Palindrome: No
Bit width: 20 bits
Reversed: 2,203,101
Square (n²): 1,026,213,572,484
Cube (n³): 1,039,576,925,624,886,648
Divisor count: 24
σ(n) — sum of divisors: 2,214,576
φ(n) — Euler's totient: 334,656
Sum of prime factors: 512

Primality

Prime factorization: 2 × 3 ² × 167 × 337

Nearest primes: 1,013,009 (−13) · 1,013,029 (+7)

Divisors & multiples

All divisors (24)

1 · 2 · 3 · 6 · 9 · 18 · 167 · 334 · 337 · 501 · 674 · 1002 · 1011 · 1503 · 2022 · 3006 · 3033 · 6066 · 56279 · 112558 · 168837 · 337674 · 506511 (half) · 1013022

Aliquot sum (sum of proper divisors): 1,201,554

Factor pairs (a × b = 1,013,022)

1 × 1013022

2 × 506511

3 × 337674

6 × 168837

9 × 112558

18 × 56279

167 × 6066

334 × 3033

337 × 3006

501 × 2022

674 × 1503

1002 × 1011

First multiples

1,013,022 · 2,026,044 (double) · 3,039,066 · 4,052,088 · 5,065,110 · 6,078,132 · 7,091,154 · 8,104,176 · 9,117,198 · 10,130,220

Sums & aliquot sequence

As consecutive integers: 337,673 + 337,674 + 337,675 253,254 + 253,255 + 253,256 + 253,257 112,554 + 112,555 + … + 112,562 84,413 + 84,414 + … + 84,424

Aliquot sequence: 1,013,022 → 1,201,554 → 1,491,180 → 2,833,140 → 5,448,588 → 7,311,012 → 9,990,300 → 18,915,836 → 14,249,044 → 10,825,824 → 18,833,568 → 34,411,008 → 59,574,048 → 103,613,088 → 177,074,592 → 287,746,464 → 492,989,856 — unresolved within range

Continued fraction of √n

√1,013,022 = [1006; (2, 24, 2, 1, 5, 2, 1, 2, 13, 7, 3, 1, 2, 9, 5, 1, 1, 1, 2, 4, 1, 1, 5, 5, …)]

Representations

In words: one million thirteen thousand twenty-two
Ordinal: 1013022nd
Binary: 11110111010100011110
Octal: 3672436
Hexadecimal: 0xF751E
Base64: D3Ue
One's complement: 4,293,954,273 (32-bit)
Scientific notation: 1.013022 × 10⁶
As a duration: 1,013,022 s = 11 days, 17 hours, 23 minutes, 42 seconds

In other bases

ternary (3) 1220110121100

quaternary (4) 3313110132

quinary (5) 224404042

senary (6) 33413530

septenary (7) 11416263

nonary (9) 1813540

undecimal (11) 63210a

duodecimal (12) 40a2a6

tridecimal (13) 29612a

tetradecimal (14) 1c526a

pentadecimal (15) 15024c

As an angle

1,013,022° = 2,813 × 360° + 342°

342° ≈ 5.969 rad

Compass bearing: NNW (north-northwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹 𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic: 𓁨𓂍𓆼𓆼𓆼𓎆𓎆𓏺𓏺
Chinese: 一百零一萬三千零二十二
Chinese (financial): 壹佰零壹萬參仟零貳拾貳

In other modern scripts

Eastern Arabic ١٠١٣٠٢٢ Devanagari १०१३०२२ Bengali ১০১৩০২২ Tamil ௧௦௧௩௦௨௨ Thai ๑๐๑๓๐๒๒ Tibetan ༡༠༡༣༠༢༢ Khmer ១០១៣០២២ Lao ໑໐໑໓໐໒໒ Burmese ၁၀၁၃၀၂၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1013022, here are decompositions:

13 + 1013009 = 1013022
19 + 1013003 = 1013022
29 + 1012993 = 1013022
41 + 1012981 = 1013022
103 + 1012919 = 1013022
191 + 1012831 = 1013022
193 + 1012829 = 1013022
211 + 1012811 = 1013022

Showing the first eight; more decompositions exist.

Hex color

#0F751E

RGB(15, 117, 30)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.117.30.

Address: 0.15.117.30
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.117.30

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

Possible date

Could be parsed as a date. Most likely interpretation: Tuesday, January 1, 3022 (MDDYYYY (US, single-digit month)).

Other possible interpretations (2)

3022-10-01 (MMDYYYY (US, single-digit day))
3022-01-10 (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 1,013,022 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 US1,013,022 on Google Patents ↗ Look up on USPTO ↗