Live analysis

1,012,016

1,012,016 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.).

1,012,016 (one million twelve thousand sixteen) is an even 7-digit number. It is a composite number with 20 divisors, and factors as 2⁴ × 19 × 3,329. Its proper divisors sum to 1,052,584, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF7130.

Abundant Number Arithmetic Number Evil Number Gapful Number Semiperfect Number

Interestingness

★ ☆ ☆ ☆ ☆

3 notable facts · grade F

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

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 11
Digit product: 0
Digital root: 2
Palindrome: No
Bit width: 20 bits
Reversed: 6,102,101
Square (n²): 1,024,176,384,256
Cube (n³): 1,036,482,887,689,220,096
Divisor count: 20
σ(n) — sum of divisors: 2,064,600
φ(n) — Euler's totient: 479,232
Sum of prime factors: 3,356

Primality

Prime factorization: 2 ⁴ × 19 × 3329

Nearest primes: 1,012,009 (−7) · 1,012,031 (+15)

Divisors & multiples

All divisors (20)

1 · 2 · 4 · 8 · 16 · 19 · 38 · 76 · 152 · 304 · 3329 · 6658 · 13316 · 26632 · 53264 · 63251 · 126502 · 253004 · 506008 (half) · 1012016

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

Factor pairs (a × b = 1,012,016)

1 × 1012016

2 × 506008

4 × 253004

8 × 126502

16 × 63251

19 × 53264

38 × 26632

76 × 13316

152 × 6658

304 × 3329

First multiples

1,012,016 · 2,024,032 (double) · 3,036,048 · 4,048,064 · 5,060,080 · 6,072,096 · 7,084,112 · 8,096,128 · 9,108,144 · 10,120,160

Sums & aliquot sequence

As consecutive integers: 53,255 + 53,256 + … + 53,273 31,610 + 31,611 + … + 31,641 1,361 + 1,362 + … + 1,968

Aliquot sequence: 1,012,016 → 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

√1,012,016 = [1005; (1, 99, 1, 1, 2, 80, 12, 1, 1, 3, 1, 1, 62, 3, 4, 1, 11, 1, 3, 4, 1, 3, 2, 3, …)]

Period length 60 — the block in parentheses repeats forever.

Representations

In words: one million twelve thousand sixteen
Ordinal: 1012016th
Binary: 11110111000100110000
Octal: 3670460
Hexadecimal: 0xF7130
Base64: D3Ew
One's complement: 4,293,955,279 (32-bit)
Scientific notation: 1.012016 × 10⁶
As a duration: 1,012,016 s = 11 days, 17 hours, 6 minutes, 56 seconds

In other bases

ternary (3) 1220102020002

quaternary (4) 3313010300

quinary (5) 224341031

senary (6) 33405132

septenary (7) 11413325

nonary (9) 1812202

undecimal (11) 631385

duodecimal (12) 4097a8

tridecimal (13) 295835

tetradecimal (14) 1c4b4c

pentadecimal (15) 14eccb

As an angle

1,012,016° = 2,811 × 360° + 56°

56° ≈ 0.977 rad

Compass bearing: NE (northeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹 𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓁨𓂍𓆼𓆼𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Chinese: 一百零一萬二千零一十六
Chinese (financial): 壹佰零壹萬貳仟零壹拾陸

In other modern scripts

Eastern Arabic ١٠١٢٠١٦ Devanagari १०१२०१६ Bengali ১০১২০১৬ Tamil ௧௦௧௨௦௧௬ Thai ๑๐๑๒๐๑๖ Tibetan ༡༠༡༢༠༡༦ Khmer ១០១២០១៦ Lao ໑໐໑໒໐໑໖ Burmese ၁၀၁၂၀၁၆

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1012016, here are decompositions:

7 + 1012009 = 1012016
37 + 1011979 = 1012016
43 + 1011973 = 1012016
73 + 1011943 = 1012016
79 + 1011937 = 1012016
127 + 1011889 = 1012016
199 + 1011817 = 1012016
283 + 1011733 = 1012016

Showing the first eight; more decompositions exist.

Hex color

#0F7130

RGB(15, 113, 48)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.113.48.

Address: 0.15.113.48
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.113.48

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

Possible date

Could be parsed as a date. Most likely interpretation: Friday, January 1, 2016 (MDDYYYY (US, single-digit month)).

Other possible interpretations (2)

2016-10-01 (MMDYYYY (US, single-digit day))
2016-01-10 (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 1,012,016 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 US1,012,016 on Google Patents ↗ Look up on USPTO ↗