Live analysis

1,061,004

1,061,004 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.).

1,061,004 (one million sixty-one thousand four) is an even 7-digit number. It is a composite number with 48 divisors, and factors as 2² × 3 × 7 × 17 × 743. Its proper divisors sum to 1,938,804, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x10308C.

Abundant Number Arithmetic Number Cube-Free Evil Number Gapful Number Harshad / Niven Practical Number Semiperfect Number

Interestingness

★ ★ ★ ★ ☆

6 notable facts · grade B

1,060,992 1,060,993 1,060,994 1,060,995 1,060,996 1,060,997 1,060,998 1,060,999 1,061,000 1,061,001 1,061,002 1,061,003 1,061,004 1,061,005 1,061,006 1,061,007 1,061,008 1,061,009 1,061,010 1,061,011 1,061,012 1,061,013 1,061,014 1,061,015 1,061,016

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 12
Digit product: 0
Digital root: 3
Palindrome: No
Bit width: 21 bits
Reversed: 4,001,601
Square (n²): 1,125,729,488,016
Cube (n³): 1,194,403,489,702,928,064
Divisor count: 48
σ(n) — sum of divisors: 2,999,808
φ(n) — Euler's totient: 284,928
Sum of prime factors: 774

Primality

Prime factorization: 2 ² × 3 × 7 × 17 × 743

Nearest primes: 1,060,993 (−11) · 1,061,033 (+29)

Divisors & multiples

All divisors (48)

1 · 2 · 3 · 4 · 6 · 7 · 12 · 14 · 17 · 21 · 28 · 34 · 42 · 51 · 68 · 84 · 102 · 119 · 204 · 238 · 357 · 476 · 714 · 743 · 1428 · 1486 · 2229 · 2972 · 4458 · 5201 · 8916 · 10402 · 12631 · 15603 · 20804 · 25262 · 31206 · 37893 · 50524 · 62412 · 75786 · 88417 · 151572 · 176834 · 265251 · 353668 · 530502 (half) · 1061004

Aliquot sum (sum of proper divisors): 1,938,804

Factor pairs (a × b = 1,061,004)

1 × 1061004

2 × 530502

3 × 353668

4 × 265251

6 × 176834

7 × 151572

12 × 88417

14 × 75786

17 × 62412

21 × 50524

28 × 37893

34 × 31206

42 × 25262

51 × 20804

68 × 15603

84 × 12631

102 × 10402

119 × 8916

204 × 5201

238 × 4458

357 × 2972

476 × 2229

714 × 1486

743 × 1428

First multiples

1,061,004 · 2,122,008 (double) · 3,183,012 · 4,244,016 · 5,305,020 · 6,366,024 · 7,427,028 · 8,488,032 · 9,549,036 · 10,610,040

Sums & aliquot sequence

As consecutive integers: 353,667 + 353,668 + 353,669 151,569 + 151,570 + … + 151,575 132,622 + 132,623 + … + 132,629 62,404 + 62,405 + … + 62,420

Aliquot sequence: 1,061,004 → 1,938,804 → 3,231,564 → 6,316,212 → 10,527,244 → 12,147,604 → 12,225,836 → 12,888,820 → 18,778,508 → 18,870,292 → 20,455,148 → 23,796,052 → 23,899,372 → 24,031,028 → 24,031,084 → 30,398,900 → 44,992,108 — unresolved within range

Continued fraction of √n

√1,061,004 = [1030; (19, 1, 4, 4, 1, 2, 4, 5, 1, 4, 1, 6, 1, 1, 8, 5, 8, 82, 3, 1, 1, 4, 1, 19, …)]

Representations

In words: one million sixty-one thousand four
Ordinal: 1061004th
Binary: 100000011000010001100
Octal: 4030214
Hexadecimal: 0x10308C
Base64: EDCM
One's complement: 4,293,906,291 (32-bit)
Scientific notation: 1.061004 × 10⁶
As a duration: 1,061,004 s = 12 days, 6 hours, 43 minutes, 24 seconds

In other bases

ternary (3) 1222220102110

quaternary (4) 10003002030

quinary (5) 232423004

senary (6) 34424020

septenary (7) 12006210

nonary (9) 1886373

undecimal (11) 66516a

duodecimal (12) 432010

tridecimal (13) 2b1c19

tetradecimal (14) 1d8940

pentadecimal (15) 15e589

As an angle

1,061,004° = 2,947 × 360° + 84°

84° ≈ 1.466 rad

Compass bearing: E (east)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓁨𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓏺𓏺𓏺𓏺
Chinese: 一百零六萬一千零四
Chinese (financial): 壹佰零陸萬壹仟零肆

In other modern scripts

Eastern Arabic ١٠٦١٠٠٤ Devanagari १०६१००४ Bengali ১০৬১০০৪ Tamil ௧௦௬௧௦௦௪ Thai ๑๐๖๑๐๐๔ Tibetan ༡༠༦༡༠༠༤ Khmer ១០៦១០០៤ Lao ໑໐໖໑໐໐໔ Burmese ၁၀၆၁၀၀၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1061004, here are decompositions:

11 + 1060993 = 1061004
13 + 1060991 = 1061004
23 + 1060981 = 1061004
41 + 1060963 = 1061004
67 + 1060937 = 1061004
137 + 1060867 = 1061004
223 + 1060781 = 1061004
227 + 1060777 = 1061004

Showing the first eight; more decompositions exist.

Hex color

#10308C

RGB(16, 48, 140)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.16.48.140.

Address: 0.16.48.140
Class: reserved
IPv4-mapped IPv6: ::ffff:0.16.48.140

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

Possible date

Could be parsed as a date. Most likely interpretation: Friday, January 6, 1004 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)

1004-06-01 (DMMYYYY (Euro, single-digit day))
1004-10-06 (MMDYYYY (US, single-digit day))
1004-06-10 (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 1,061,004 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 US1,061,004 on Google Patents ↗ Look up on USPTO ↗