Live analysis

1,016,022

1,016,022 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.).

1,016,022 (one million sixteen thousand twenty-two) is an even 7-digit number. It is a composite number with 32 divisors, and factors as 2 × 3 × 7 × 17 × 1,423. Its proper divisors sum to 1,444,650, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF80D6.

Abundant Number Arithmetic Number Cube-Free Evil Number Practical Number Recamán's Sequence Semiperfect Number Squarefree

Interestingness

★ ★ ★ ★ ☆

6 notable facts · grade B

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

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 12
Digit product: 0
Digital root: 3
Palindrome: No
Bit width: 20 bits
Reversed: 2,206,101
Recamán's sequence: a(365,947) = 1,016,022
Square (n²): 1,032,300,704,484
Cube (n³): 1,048,840,226,371,242,648
Divisor count: 32
σ(n) — sum of divisors: 2,460,672
φ(n) — Euler's totient: 273,024
Sum of prime factors: 1,452

Primality

Prime factorization: 2 × 3 × 7 × 17 × 1423

Nearest primes: 1,016,011 (−11) · 1,016,023 (+1)

Divisors & multiples

All divisors (32)

1 · 2 · 3 · 6 · 7 · 14 · 17 · 21 · 34 · 42 · 51 · 102 · 119 · 238 · 357 · 714 · 1423 · 2846 · 4269 · 8538 · 9961 · 19922 · 24191 · 29883 · 48382 · 59766 · 72573 · 145146 · 169337 · 338674 · 508011 (half) · 1016022

Aliquot sum (sum of proper divisors): 1,444,650

Factor pairs (a × b = 1,016,022)

1 × 1016022

2 × 508011

3 × 338674

6 × 169337

7 × 145146

14 × 72573

17 × 59766

21 × 48382

34 × 29883

42 × 24191

51 × 19922

102 × 9961

119 × 8538

238 × 4269

357 × 2846

714 × 1423

First multiples

1,016,022 · 2,032,044 (double) · 3,048,066 · 4,064,088 · 5,080,110 · 6,096,132 · 7,112,154 · 8,128,176 · 9,144,198 · 10,160,220

Sums & aliquot sequence

As consecutive integers: 338,673 + 338,674 + 338,675 254,004 + 254,005 + 254,006 + 254,007 145,143 + 145,144 + … + 145,149 84,663 + 84,664 + … + 84,674

Aliquot sequence: 1,016,022 → 1,444,650 → 2,138,454 → 2,637,666 → 3,502,494 → 4,495,746 → 4,597,854 → 5,138,994 → 6,989,262 → 9,272,154 → 9,335,526 → 10,322,202 → 12,979,878 → 13,875,402 → 14,682,678 → 14,722,698 → 14,722,710 — unresolved within range

Continued fraction of √n

√1,016,022 = [1007; (1, 46, 1, 2014)]

Period length 4 — the block in parentheses repeats forever.

Representations

In words: one million sixteen thousand twenty-two
Ordinal: 1016022nd
Binary: 11111000000011010110
Octal: 3700326
Hexadecimal: 0xF80D6
Base64: D4DW
One's complement: 4,293,951,273 (32-bit)
Scientific notation: 1.016022 × 10⁶
As a duration: 1,016,022 s = 11 days, 18 hours, 13 minutes, 42 seconds

In other bases

ternary (3) 1220121201110

quaternary (4) 3320003112

quinary (5) 230003042

senary (6) 33435450

septenary (7) 11431110

nonary (9) 1817643

undecimal (11) 634397

duodecimal (12) 40bb86

tridecimal (13) 2975c7

tetradecimal (14) 1c63b0

pentadecimal (15) 15109c

As an angle

1,016,022° = 2,822 × 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 𒌋𒌋𒌋𒌋𒁹𒁹 𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic: 𓁨𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓎆𓎆𓏺𓏺
Chinese: 一百零一萬六千零二十二
Chinese (financial): 壹佰零壹萬陸仟零貳拾貳

In other modern scripts

Eastern Arabic ١٠١٦٠٢٢ Devanagari १०१६०२२ Bengali ১০১৬০২২ Tamil ௧௦௧௬௦௨௨ Thai ๑๐๑๖๐๒๒ Tibetan ༡༠༡༦༠༢༢ Khmer ១០១៦០២២ Lao ໑໐໑໖໐໒໒ Burmese ၁၀၁၆၀၂၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1016022, here are decompositions:

11 + 1016011 = 1016022
13 + 1016009 = 1016022
31 + 1015991 = 1016022
41 + 1015981 = 1016022
103 + 1015919 = 1016022
109 + 1015913 = 1016022
131 + 1015891 = 1016022
151 + 1015871 = 1016022

Showing the first eight; more decompositions exist.

Hex color

#0F80D6

RGB(15, 128, 214)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.128.214.

Address: 0.15.128.214
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.128.214

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

Possible date

Could be parsed as a date. Most likely interpretation: Saturday, January 1, 6022 (MDDYYYY (US, single-digit month)).

Other possible interpretations (2)

6022-10-01 (MMDYYYY (US, single-digit day))
6022-01-10 (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 1,016,022 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 US1,016,022 on Google Patents ↗ Look up on USPTO ↗