Live analysis

1,016,016

1,016,016 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.).

1,016,016 (one million sixteen thousand sixteen) is an even 7-digit number. It is a composite number with 40 divisors, and factors as 2⁴ × 3 × 61 × 347. Its proper divisors sum to 1,659,408, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF80D0.

Abundant Number Evil Number Flippable Gapful Number Practical Number Recamán's Sequence Semiperfect Number

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

1,016,004 1,016,005 1,016,006 1,016,007 1,016,008 1,016,009 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

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 15
Digit product: 0
Digital root: 6
Palindrome: No
Bit width: 20 bits
Reversed: 6,106,101
Flips to (rotate 180°): 9,109,101
Recamán's sequence: a(365,959) = 1,016,016
Square (n²): 1,032,288,512,256
Cube (n³): 1,048,821,645,068,292,096
Divisor count: 40
σ(n) — sum of divisors: 2,675,424
φ(n) — Euler's totient: 332,160
Sum of prime factors: 419

Primality

Prime factorization: 2 ⁴ × 3 × 61 × 347

Nearest primes: 1,016,011 (−5) · 1,016,023 (+7)

Divisors & multiples

All divisors (40)

1 · 2 · 3 · 4 · 6 · 8 · 12 · 16 · 24 · 48 · 61 · 122 · 183 · 244 · 347 · 366 · 488 · 694 · 732 · 976 · 1041 · 1388 · 1464 · 2082 · 2776 · 2928 · 4164 · 5552 · 8328 · 16656 · 21167 · 42334 · 63501 · 84668 · 127002 · 169336 · 254004 · 338672 · 508008 (half) · 1016016

Aliquot sum (sum of proper divisors): 1,659,408

Factor pairs (a × b = 1,016,016)

1 × 1016016

2 × 508008

3 × 338672

4 × 254004

6 × 169336

8 × 127002

12 × 84668

16 × 63501

24 × 42334

48 × 21167

61 × 16656

122 × 8328

183 × 5552

244 × 4164

347 × 2928

366 × 2776

488 × 2082

694 × 1464

732 × 1388

976 × 1041

First multiples

1,016,016 · 2,032,032 (double) · 3,048,048 · 4,064,064 · 5,080,080 · 6,096,096 · 7,112,112 · 8,128,128 · 9,144,144 · 10,160,160

Sums & aliquot sequence

As consecutive integers: 338,671 + 338,672 + 338,673 31,735 + 31,736 + … + 31,766 16,626 + 16,627 + … + 16,686 10,536 + 10,537 + … + 10,631

Aliquot sequence: 1,016,016 → 1,659,408 → 2,673,648 → 5,068,416 → 8,664,864 → 16,482,720 → 37,731,552 → 64,736,688 → 105,341,712 → 205,668,144 → 422,247,768 → 710,857,992 → 1,328,043,768 → 2,023,101,192 → 3,757,188,408 → 5,645,758,152 → 8,468,637,288 — unresolved within range

Continued fraction of √n

√1,016,016 = [1007; (1, 40, 1, 2014)]

Period length 4 — the block in parentheses repeats forever.

Representations

In words: one million sixteen thousand sixteen
Ordinal: 1016016th
Binary: 11111000000011010000
Octal: 3700320
Hexadecimal: 0xF80D0
Base64: D4DQ
One's complement: 4,293,951,279 (32-bit)
Scientific notation: 1.016016 × 10⁶
As a duration: 1,016,016 s = 11 days, 18 hours, 13 minutes, 36 seconds

In other bases

ternary (3) 1220121201020

quaternary (4) 3320003100

quinary (5) 230003031

senary (6) 33435440

septenary (7) 11431101

nonary (9) 1817636

undecimal (11) 634391

duodecimal (12) 40bb80

tridecimal (13) 2975c1

tetradecimal (14) 1c63a8

pentadecimal (15) 151096

As an angle

1,016,016° = 2,822 × 360° + 96°

96° ≈ 1.676 rad

Compass bearing: E (east)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹 𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓁨𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Chinese: 一百零一萬六千零一十六
Chinese (financial): 壹佰零壹萬陸仟零壹拾陸

In other modern scripts

Eastern Arabic ١٠١٦٠١٦ Devanagari १०१६०१६ Bengali ১০১৬০১৬ Tamil ௧௦௧௬௦௧௬ Thai ๑๐๑๖๐๑๖ Tibetan ༡༠༡༦༠༡༦ Khmer ១០១៦០១៦ Lao ໑໐໑໖໐໑໖ Burmese ၁၀၁၆၀၁၆

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1016016, here are decompositions:

5 + 1016011 = 1016016
7 + 1016009 = 1016016
97 + 1015919 = 1016016
103 + 1015913 = 1016016
109 + 1015907 = 1016016
139 + 1015877 = 1016016
163 + 1015853 = 1016016
173 + 1015843 = 1016016

Showing the first eight; more decompositions exist.

Hex color

#0F80D0

RGB(15, 128, 208)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.128.208.

Address: 0.15.128.208
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.128.208

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

Possible date

Could be parsed as a date. Most likely interpretation: Friday, January 1, 6016 (MDDYYYY (US, single-digit month)).

Other possible interpretations (2)

6016-10-01 (MMDYYYY (US, single-digit day))
6016-01-10 (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 1,016,016 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 US1,016,016 on Google Patents ↗ Look up on USPTO ↗