Live analysis

1,031,004

1,031,004 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.).

1,031,004 (one million thirty-one thousand four) is an even 7-digit number. It is a composite number with 36 divisors, and factors as 2² × 3² × 13 × 2,203. Its proper divisors sum to 1,776,892, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xFBB5C.

Abundant Number Cube-Free Evil Number Harshad / Niven Refactorable Number Semiperfect Number

Interestingness

★ ★ ☆ ☆ ☆

4 notable facts · grade D

1,030,992 1,030,993 1,030,994 1,030,995 1,030,996 1,030,997 1,030,998 1,030,999 1,031,000 1,031,001 1,031,002 1,031,003 1,031,004 1,031,005 1,031,006 1,031,007 1,031,008 1,031,009 1,031,010 1,031,011 1,031,012 1,031,013 1,031,014 1,031,015 1,031,016

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 9
Digit product: 0
Digital root: 9
Palindrome: No
Bit width: 20 bits
Reversed: 4,001,301
Square (n²): 1,062,969,248,016
Cube (n³): 1,095,925,546,581,488,064
Divisor count: 36
σ(n) — sum of divisors: 2,807,896
φ(n) — Euler's totient: 317,088
Sum of prime factors: 2,226

Primality

Prime factorization: 2 ² × 3 ² × 13 × 2203

Nearest primes: 1,031,003 (−1) · 1,031,047 (+43)

Divisors & multiples

All divisors (36)

1 · 2 · 3 · 4 · 6 · 9 · 12 · 13 · 18 · 26 · 36 · 39 · 52 · 78 · 117 · 156 · 234 · 468 · 2203 · 4406 · 6609 · 8812 · 13218 · 19827 · 26436 · 28639 · 39654 · 57278 · 79308 · 85917 · 114556 · 171834 · 257751 · 343668 · 515502 (half) · 1031004

Aliquot sum (sum of proper divisors): 1,776,892

Factor pairs (a × b = 1,031,004)

1 × 1031004

2 × 515502

3 × 343668

4 × 257751

6 × 171834

9 × 114556

12 × 85917

13 × 79308

18 × 57278

26 × 39654

36 × 28639

39 × 26436

52 × 19827

78 × 13218

117 × 8812

156 × 6609

234 × 4406

468 × 2203

First multiples

1,031,004 · 2,062,008 (double) · 3,093,012 · 4,124,016 · 5,155,020 · 6,186,024 · 7,217,028 · 8,248,032 · 9,279,036 · 10,310,040

Sums & aliquot sequence

As consecutive integers: 343,667 + 343,668 + 343,669 128,872 + 128,873 + … + 128,879 114,552 + 114,553 + … + 114,560 79,302 + 79,303 + … + 79,314

Aliquot sequence: 1,031,004 → 1,776,892 → 1,571,964 → 2,135,124 → 3,316,140 → 7,660,980 → 16,376,880 → 40,494,480 → 94,705,200 → 258,789,040 → 367,376,240 → 744,266,896 → 706,390,256 → 1,031,998,480 → 1,369,019,720 → 1,713,887,800 → 2,274,071,240 — unresolved within range

Continued fraction of √n

√1,031,004 = [1015; (2, 1, 1, 1, 1, 5, 1, 1, 1, 7, 7, 1, 1, 2, 3, 1, 20, 1, 1, 1, 1, 9, 3, 3, …)]

Representations

In words: one million thirty-one thousand four
Ordinal: 1031004th
Binary: 11111011101101011100
Octal: 3735534
Hexadecimal: 0xFBB5C
Base64: D7tc
One's complement: 4,293,936,291 (32-bit)
Scientific notation: 1.031004 × 10⁶
As a duration: 1,031,004 s = 11 days, 22 hours, 23 minutes, 24 seconds

In other bases

ternary (3) 1221101021100

quaternary (4) 3323231130

quinary (5) 230443004

senary (6) 34033100

septenary (7) 11522562

nonary (9) 1841240

undecimal (11) 644677

duodecimal (12) 418790

tridecimal (13) 2a1380

tetradecimal (14) 1cba32

pentadecimal (15) 155739

As an angle

1,031,004° = 2,863 × 360° + 324°

324° ≈ 5.655 rad

Compass bearing: NW (northwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓁨𓂍𓂍𓂍𓆼𓏺𓏺𓏺𓏺
Chinese: 一百零三萬一千零四
Chinese (financial): 壹佰零參萬壹仟零肆

In other modern scripts

Eastern Arabic ١٠٣١٠٠٤ Devanagari १०३१००४ Bengali ১০৩১০০৪ Tamil ௧௦௩௧௦௦௪ Thai ๑๐๓๑๐๐๔ Tibetan ༡༠༣༡༠༠༤ Khmer ១០៣១០០៤ Lao ໑໐໓໑໐໐໔ Burmese ၁၀၃၁၀၀၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1031004, here are decompositions:

11 + 1030993 = 1031004
17 + 1030987 = 1031004
47 + 1030957 = 1031004
53 + 1030951 = 1031004
71 + 1030933 = 1031004
131 + 1030873 = 1031004
137 + 1030867 = 1031004
157 + 1030847 = 1031004

Showing the first eight; more decompositions exist.

Hex color

#0FBB5C

RGB(15, 187, 92)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.187.92.

Address: 0.15.187.92
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.187.92

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

Possible date

Could be parsed as a date. Most likely interpretation: Tuesday, January 3, 1004 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)

1004-03-01 (DMMYYYY (Euro, single-digit day))
1004-10-03 (MMDYYYY (US, single-digit day))
1004-03-10 (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 1,031,004 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 US1,031,004 on Google Patents ↗ Look up on USPTO ↗