Live analysis

1,021,016

1,021,016 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.).

1,021,016 (one million twenty-one thousand sixteen) is an even 7-digit number. It is a composite number with 32 divisors, and factors as 2³ × 23 × 31 × 179. Its proper divisors sum to 1,052,584, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF9458.

Abundant Number Arithmetic Number Evil Number Semiperfect Number

Interestingness

★ ☆ ☆ ☆ ☆

2 notable facts · grade F

1,021,004 1,021,005 1,021,006 1,021,007 1,021,008 1,021,009 1,021,010 1,021,011 1,021,012 1,021,013 1,021,014 1,021,015 1,021,016 1,021,017 1,021,018 1,021,019 1,021,020 1,021,021 1,021,022 1,021,023 1,021,024 1,021,025 1,021,026 1,021,027 1,021,028

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 11
Digit product: 0
Digital root: 2
Palindrome: No
Bit width: 20 bits
Reversed: 6,101,201
Square (n²): 1,042,473,672,256
Cube (n³): 1,064,382,298,952,132,096
Divisor count: 32
σ(n) — sum of divisors: 2,073,600
φ(n) — Euler's totient: 469,920
Sum of prime factors: 239

Primality

Prime factorization: 2 ³ × 23 × 31 × 179

Nearest primes: 1,021,001 (−15) · 1,021,019 (+3)

Divisors & multiples

All divisors (32)

1 · 2 · 4 · 8 · 23 · 31 · 46 · 62 · 92 · 124 · 179 · 184 · 248 · 358 · 713 · 716 · 1426 · 1432 · 2852 · 4117 · 5549 · 5704 · 8234 · 11098 · 16468 · 22196 · 32936 · 44392 · 127627 · 255254 · 510508 (half) · 1021016

Aliquot sum (sum of proper divisors): 1,052,584

Factor pairs (a × b = 1,021,016)

1 × 1021016

2 × 510508

4 × 255254

8 × 127627

23 × 44392

31 × 32936

46 × 22196

62 × 16468

92 × 11098

124 × 8234

179 × 5704

184 × 5549

248 × 4117

358 × 2852

713 × 1432

716 × 1426

First multiples

1,021,016 · 2,042,032 (double) · 3,063,048 · 4,084,064 · 5,105,080 · 6,126,096 · 7,147,112 · 8,168,128 · 9,189,144 · 10,210,160

Sums & aliquot sequence

As consecutive integers: 63,806 + 63,807 + … + 63,821 44,381 + 44,382 + … + 44,403 32,921 + 32,922 + … + 32,951 5,615 + 5,616 + … + 5,793

Aliquot sequence: 1,021,016 → 1,052,584 → 1,152,416 → 1,116,466 → 766,478 → 390,202 → 211,034 → 105,520 → 140,000 → 253,624 → 300,416 → 298,324 → 264,000 → 686,976 → 1,138,824 → 1,945,686 → 1,993,578 — unresolved within range

Continued fraction of √n

√1,021,016 = [1010; (2, 4, 1, 6, 5, 1, 2, 1, 2, 10, 9, 2, 3, 2, 2, 2, 1, 4, 1, 1, 1, 7, 1, 11, …)]

Representations

In words: one million twenty-one thousand sixteen
Ordinal: 1021016th
Binary: 11111001010001011000
Octal: 3712130
Hexadecimal: 0xF9458
Base64: D5RY
One's complement: 4,293,946,279 (32-bit)
Scientific notation: 1.021016 × 10⁶
As a duration: 1,021,016 s = 11 days, 19 hours, 36 minutes, 56 seconds

In other bases

ternary (3) 1220212120102

quaternary (4) 3321101120

quinary (5) 230133031

senary (6) 33514532

septenary (7) 11451503

nonary (9) 1825512

undecimal (11) 638117

duodecimal (12) 412a48

tridecimal (13) 299969

tetradecimal (14) 1c813a

pentadecimal (15) 1527cb

As an angle

1,021,016° = 2,836 × 360° + 56°

56° ≈ 0.977 rad

Compass bearing: NE (northeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓁨𓂍𓂍𓆼𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Chinese: 一百零二萬一千零一十六
Chinese (financial): 壹佰零貳萬壹仟零壹拾陸

In other modern scripts

Eastern Arabic ١٠٢١٠١٦ Devanagari १०२१०१६ Bengali ১০২১০১৬ Tamil ௧௦௨௧௦௧௬ Thai ๑๐๒๑๐๑๖ Tibetan ༡༠༢༡༠༡༦ Khmer ១០២១០១៦ Lao ໑໐໒໑໐໑໖ Burmese ၁၀၂၁၀၁၆

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1021016, here are decompositions:

19 + 1020997 = 1021016
37 + 1020979 = 1021016
43 + 1020973 = 1021016
103 + 1020913 = 1021016
109 + 1020907 = 1021016
163 + 1020853 = 1021016
193 + 1020823 = 1021016
307 + 1020709 = 1021016

Showing the first eight; more decompositions exist.

Hex color

#0F9458

RGB(15, 148, 88)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.148.88.

Address: 0.15.148.88
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.148.88

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

Possible date

Could be parsed as a date. Most likely interpretation: Tuesday, January 2, 1016 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)

1016-02-01 (DMMYYYY (Euro, single-digit day))
1016-10-02 (MMDYYYY (US, single-digit day))
1016-02-10 (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 1,021,016 and was likely granted around 1912.

Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.

Look up US1,021,016 on Google Patents ↗ Look up on USPTO ↗