Live analysis

1,056,006

1,056,006 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.).

1,056,006 (one million fifty-six thousand six) is an even 7-digit number. It is a composite number with 72 divisors, and factors as 2 × 3² × 7 × 17² × 29. Its proper divisors sum to 1,817,514, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x101D06.

Abundant Number Arithmetic Number Cube-Free Harshad / Niven Odious Number Pernicious Number Practical Number Self Number Weird Number

Interestingness

★ ★ ★ ★ ☆

6 notable facts · grade B

1,055,994 1,055,995 1,055,996 1,055,997 1,055,998 1,055,999 1,056,000 1,056,001 1,056,002 1,056,003 1,056,004 1,056,005 1,056,006 1,056,007 1,056,008 1,056,009 1,056,010 1,056,011 1,056,012 1,056,013 1,056,014 1,056,015 1,056,016 1,056,017 1,056,018

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 18
Digit product: 0
Digital root: 9
Palindrome: No
Bit width: 21 bits
Reversed: 6,006,501
Square (n²): 1,115,148,672,036
Cube (n³): 1,177,603,688,562,048,216
Divisor count: 72
σ(n) — sum of divisors: 2,873,520
φ(n) — Euler's totient: 274,176
Sum of prime factors: 78

Primality

Prime factorization: 2 × 3 ² × 7 × 17 ² × 29

Nearest primes: 1,055,981 (−25) · 1,056,007 (+1)

Divisors & multiples

All divisors (72)

1 · 2 · 3 · 6 · 7 · 9 · 14 · 17 · 18 · 21 · 29 · 34 · 42 · 51 · 58 · 63 · 87 · 102 · 119 · 126 · 153 · 174 · 203 · 238 · 261 · 289 · 306 · 357 · 406 · 493 · 522 · 578 · 609 · 714 · 867 · 986 · 1071 · 1218 · 1479 · 1734 · 1827 · 2023 · 2142 · 2601 · 2958 · 3451 · 3654 · 4046 · 4437 · 5202 · 6069 · 6902 · 8381 · 8874 · 10353 · 12138 · 16762 · 18207 · 20706 · 25143 · 31059 · 36414 · 50286 · 58667 · 62118 · 75429 · 117334 · 150858 · 176001 · 352002 · 528003 (half) · 1056006

Aliquot sum (sum of proper divisors): 1,817,514

Factor pairs (a × b = 1,056,006)

1 × 1056006

2 × 528003

3 × 352002

6 × 176001

7 × 150858

9 × 117334

14 × 75429

17 × 62118

18 × 58667

21 × 50286

29 × 36414

34 × 31059

42 × 25143

51 × 20706

58 × 18207

63 × 16762

87 × 12138

102 × 10353

119 × 8874

126 × 8381

153 × 6902

174 × 6069

203 × 5202

238 × 4437

261 × 4046

289 × 3654

306 × 3451

357 × 2958

406 × 2601

493 × 2142

522 × 2023

578 × 1827

609 × 1734

714 × 1479

867 × 1218

986 × 1071

First multiples

1,056,006 · 2,112,012 (double) · 3,168,018 · 4,224,024 · 5,280,030 · 6,336,036 · 7,392,042 · 8,448,048 · 9,504,054 · 10,560,060

Sums & aliquot sequence

As consecutive integers: 352,001 + 352,002 + 352,003 264,000 + 264,001 + 264,002 + 264,003 150,855 + 150,856 + … + 150,861 117,330 + 117,331 + … + 117,338

Aliquot sequence: 1,056,006 → 1,817,514 → 2,228,346 → 2,713,734 → 3,225,186 → 3,801,834 → 4,435,512 → 7,487,688 → 12,954,552 → 21,923,928 → 43,268,472 → 93,147,528 → 139,721,352 → 210,373,848 → 380,496,432 → 657,691,088 → 618,404,692 — unresolved within range

Continued fraction of √n

√1,056,006 = [1027; (1, 1, 1, 1, 1, 3, 1, 6, 1, 4, 1, 4, 1, 1, 1, 1, 4, 1, 3, 6, 1, 5, 1, 1, …)]

Representations

In words: one million fifty-six thousand six
Ordinal: 1056006th
Binary: 100000001110100000110
Octal: 4016406
Hexadecimal: 0x101D06
Base64: EB0G
One's complement: 4,293,911,289 (32-bit)
Scientific notation: 1.056006 × 10⁶
As a duration: 1,056,006 s = 12 days, 5 hours, 20 minutes, 6 seconds

In other bases

ternary (3) 1222122120100

quaternary (4) 10001310012

quinary (5) 232243011

senary (6) 34344530

septenary (7) 11655510

nonary (9) 1878510

undecimal (11) 661436

duodecimal (12) 42b146

tridecimal (13) 2ac873

tetradecimal (14) 1d6bb0

pentadecimal (15) 15cd56

As an angle

1,056,006° = 2,933 × 360° + 126°

126° ≈ 2.199 rad

Compass bearing: SE (southeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋 𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓁨𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓏺𓏺𓏺𓏺𓏺𓏺
Chinese: 一百零五萬六千零六
Chinese (financial): 壹佰零伍萬陸仟零陸

In other modern scripts

Eastern Arabic ١٠٥٦٠٠٦ Devanagari १०५६००६ Bengali ১০৫৬০০৬ Tamil ௧௦௫௬௦௦௬ Thai ๑๐๕๖๐๐๖ Tibetan ༡༠༥༦༠༠༦ Khmer ១០៥៦០០៦ Lao ໑໐໕໖໐໐໖ Burmese ၁၀၅၆၀၀၆

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1056006, here are decompositions:

37 + 1055969 = 1056006
47 + 1055959 = 1056006
59 + 1055947 = 1056006
67 + 1055939 = 1056006
73 + 1055933 = 1056006
89 + 1055917 = 1056006
109 + 1055897 = 1056006
113 + 1055893 = 1056006

Showing the first eight; more decompositions exist.

Hex color

#101D06

RGB(16, 29, 6)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.16.29.6.

Address: 0.16.29.6
Class: reserved
IPv4-mapped IPv6: ::ffff:0.16.29.6

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

Possible date

Could be parsed as a date. Most likely interpretation: Thursday, January 5, 6006 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)

6006-05-01 (DMMYYYY (Euro, single-digit day))
6006-10-05 (MMDYYYY (US, single-digit day))
6006-05-10 (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 1,056,006 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 US1,056,006 on Google Patents ↗ Look up on USPTO ↗