Live analysis

1,004,052

1,004,052 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.).

1,004,052 (one million four thousand fifty-two) is an even 7-digit number. It is a composite number with 24 divisors, and factors as 2² × 3 × 7 × 11,953. Its proper divisors sum to 1,673,644, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF5214.

Abundant Number Cube-Free Gapful Number Harshad / Niven Odious Number Semiperfect Number

Interestingness

★ ★ ☆ ☆ ☆

4 notable facts · grade D

1,004,040 1,004,041 1,004,042 1,004,043 1,004,044 1,004,045 1,004,046 1,004,047 1,004,048 1,004,049 1,004,050 1,004,051 1,004,052 1,004,053 1,004,054 1,004,055 1,004,056 1,004,057 1,004,058 1,004,059 1,004,060 1,004,061 1,004,062 1,004,063 1,004,064

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 12
Digit product: 0
Digital root: 3
Palindrome: No
Bit width: 20 bits
Reversed: 2,504,001
Square (n²): 1,008,120,418,704
Cube (n³): 1,012,205,322,640,588,608
Divisor count: 24
σ(n) — sum of divisors: 2,677,696
φ(n) — Euler's totient: 286,848
Sum of prime factors: 11,967

Primality

Prime factorization: 2 ² × 3 × 7 × 11953

Nearest primes: 1,004,033 (−19) · 1,004,053 (+1)

Divisors & multiples

All divisors (24)

1 · 2 · 3 · 4 · 6 · 7 · 12 · 14 · 21 · 28 · 42 · 84 · 11953 · 23906 · 35859 · 47812 · 71718 · 83671 · 143436 · 167342 · 251013 · 334684 · 502026 (half) · 1004052

Aliquot sum (sum of proper divisors): 1,673,644

Factor pairs (a × b = 1,004,052)

1 × 1004052

2 × 502026

3 × 334684

4 × 251013

6 × 167342

7 × 143436

12 × 83671

14 × 71718

21 × 47812

28 × 35859

42 × 23906

84 × 11953

First multiples

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

Sums & aliquot sequence

As consecutive integers: 334,683 + 334,684 + 334,685 143,433 + 143,434 + … + 143,439 125,503 + 125,504 + … + 125,510 47,802 + 47,803 + … + 47,822

Aliquot sequence: 1,004,052 → 1,673,644 → 1,733,816 → 2,048,704 → 2,889,056 → 2,848,984 → 2,492,876 → 2,099,404 → 1,599,060 → 3,037,740 → 5,544,372 → 7,432,620 → 15,133,476 → 21,396,444 → 28,528,620 → 53,306,868 → 71,843,500 — unresolved within range

Continued fraction of √n

√1,004,052 = [1002; (41, 1, 3, 125, 668, 125, 3, 1, 41, 2004)]

Period length 10 — the block in parentheses repeats forever.

Representations

In words: one million four thousand fifty-two
Ordinal: 1004052nd
Binary: 11110101001000010100
Octal: 3651024
Hexadecimal: 0xF5214
Base64: D1IU
One's complement: 4,293,963,243 (32-bit)
Scientific notation: 1.004052 × 10⁶
As a duration: 1,004,052 s = 11 days, 14 hours, 54 minutes, 12 seconds

In other bases

ternary (3) 1220000022010

quaternary (4) 3311020110

quinary (5) 224112202

senary (6) 33304220

septenary (7) 11351160

nonary (9) 1800263

undecimal (11) 6263a5

duodecimal (12) 405070

tridecimal (13) 29201a

tetradecimal (14) 1c1ca0

pentadecimal (15) 14c76c

As an angle

1,004,052° = 2,789 × 360° + 12°

12° ≈ 0.209 rad

Compass bearing: NNE (north-northeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒁹𒁹
Egyptian hieroglyphic: 𓁨𓆼𓆼𓆼𓆼𓎆𓎆𓎆𓎆𓎆𓏺𓏺
Chinese: 一百萬四千零五十二
Chinese (financial): 壹佰萬肆仟零伍拾貳

In other modern scripts

Eastern Arabic ١٠٠٤٠٥٢ Devanagari १००४०५२ Bengali ১০০৪০৫২ Tamil ௧௦௦௪௦௫௨ Thai ๑๐๐๔๐๕๒ Tibetan ༡༠༠༤༠༥༢ Khmer ១០០៤០៥២ Lao ໑໐໐໔໐໕໒ Burmese ၁၀၀၄၀၅၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1004052, here are decompositions:

19 + 1004033 = 1004052
89 + 1003963 = 1004052
109 + 1003943 = 1004052
139 + 1003913 = 1004052
163 + 1003889 = 1004052
173 + 1003879 = 1004052
211 + 1003841 = 1004052
233 + 1003819 = 1004052

Showing the first eight; more decompositions exist.

Hex color

#0F5214

RGB(15, 82, 20)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.82.20.

Address: 0.15.82.20
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.82.20

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

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 1,004,052 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 US1,004,052 on Google Patents ↗ Look up on USPTO ↗