Live analysis

1,052,004

1,052,004 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.).

1,052,004 (one million fifty-two thousand four) is an even 7-digit number. It is a composite number with 24 divisors, and factors as 2² × 3 × 29 × 3,023. Its proper divisors sum to 1,488,156, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x100D64.

Abundant Number Arithmetic Number Cube-Free Harshad / Niven Odious Number Pernicious Number Semiperfect Number

Interestingness

★ ★ ☆ ☆ ☆

4 notable facts · grade D

1,051,992 1,051,993 1,051,994 1,051,995 1,051,996 1,051,997 1,051,998 1,051,999 1,052,000 1,052,001 1,052,002 1,052,003 1,052,004 1,052,005 1,052,006 1,052,007 1,052,008 1,052,009 1,052,010 1,052,011 1,052,012 1,052,013 1,052,014 1,052,015 1,052,016

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 12
Digit product: 0
Digital root: 3
Palindrome: No
Bit width: 21 bits
Reversed: 4,002,501
Square (n²): 1,106,712,416,016
Cube (n³): 1,164,265,888,498,496,064
Divisor count: 24
σ(n) — sum of divisors: 2,540,160
φ(n) — Euler's totient: 338,464
Sum of prime factors: 3,059

Primality

Prime factorization: 2 ² × 3 × 29 × 3023

Nearest primes: 1,051,991 (−13) · 1,052,027 (+23)

Divisors & multiples

All divisors (24)

1 · 2 · 3 · 4 · 6 · 12 · 29 · 58 · 87 · 116 · 174 · 348 · 3023 · 6046 · 9069 · 12092 · 18138 · 36276 · 87667 · 175334 · 263001 · 350668 · 526002 (half) · 1052004

Aliquot sum (sum of proper divisors): 1,488,156

Factor pairs (a × b = 1,052,004)

1 × 1052004

2 × 526002

3 × 350668

4 × 263001

6 × 175334

12 × 87667

29 × 36276

58 × 18138

87 × 12092

116 × 9069

174 × 6046

348 × 3023

First multiples

1,052,004 · 2,104,008 (double) · 3,156,012 · 4,208,016 · 5,260,020 · 6,312,024 · 7,364,028 · 8,416,032 · 9,468,036 · 10,520,040

Sums & aliquot sequence

As consecutive integers: 350,667 + 350,668 + 350,669 131,497 + 131,498 + … + 131,504 43,822 + 43,823 + … + 43,845 36,262 + 36,263 + … + 36,290

Aliquot sequence: 1,052,004 → 1,488,156 → 2,261,604 → 3,044,956 → 2,406,196 → 2,128,656 → 3,468,208 → 3,505,924 → 2,629,450 → 2,379,158 → 1,189,582 → 617,618 → 308,812 → 326,228 → 340,396 → 340,452 → 665,826 — unresolved within range

Continued fraction of √n

√1,052,004 = [1025; (1, 2, 18, 1, 5, 5, 1, 2, 2, 3, 1, 72, 2, 20, 1, 6, 1, 3, 1, 2, 2, 1, 1, 2, …)]

Representations

In words: one million fifty-two thousand four
Ordinal: 1052004th
Binary: 100000000110101100100
Octal: 4006544
Hexadecimal: 0x100D64
Base64: EA1k
One's complement: 4,293,915,291 (32-bit)
Scientific notation: 1.052004 × 10⁶
As a duration: 1,052,004 s = 12 days, 4 hours, 13 minutes, 24 seconds

In other bases

ternary (3) 1222110002010

quaternary (4) 10000311210

quinary (5) 232131004

senary (6) 34314220

septenary (7) 11641032

nonary (9) 1873063

undecimal (11) 659428

duodecimal (12) 428970

tridecimal (13) 2aaab5

tetradecimal (14) 1d5552

pentadecimal (15) 15ba89

As an angle

1,052,004° = 2,922 × 360° + 84°

84° ≈ 1.466 rad

Compass bearing: E (east)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹 𒌋𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓁨𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓏺𓏺𓏺𓏺
Chinese: 一百零五萬二千零四
Chinese (financial): 壹佰零伍萬貳仟零肆

In other modern scripts

Eastern Arabic ١٠٥٢٠٠٤ Devanagari १०५२००४ Bengali ১০৫২০০৪ Tamil ௧௦௫௨௦௦௪ Thai ๑๐๕๒๐๐๔ Tibetan ༡༠༥༢༠༠༤ Khmer ១០៥២០០៤ Lao ໑໐໕໒໐໐໔ Burmese ၁၀၅၂၀၀၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1052004, here are decompositions:

13 + 1051991 = 1052004
17 + 1051987 = 1052004
43 + 1051961 = 1052004
47 + 1051957 = 1052004
101 + 1051903 = 1052004
157 + 1051847 = 1052004
193 + 1051811 = 1052004
223 + 1051781 = 1052004

Showing the first eight; more decompositions exist.

Hex color

#100D64

RGB(16, 13, 100)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.16.13.100.

Address: 0.16.13.100
Class: reserved
IPv4-mapped IPv6: ::ffff:0.16.13.100

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

Possible date

Could be parsed as a date. Most likely interpretation: Monday, January 5, 2004 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)

2004-05-01 (DMMYYYY (Euro, single-digit day))
2004-10-05 (MMDYYYY (US, single-digit day))
2004-05-10 (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 1,052,004 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 US1,052,004 on Google Patents ↗ Look up on USPTO ↗