Live analysis

1,002,052

1,002,052 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.).

1,002,052 (one million two thousand fifty-two) is an even 7-digit number. It is a composite number with 12 divisors, and factors as 2² × 67 × 3,739. Written other ways, in hexadecimal, 0xF4A44.

Cube-Free Deficient Number Odious Number

Interestingness

★ ☆ ☆ ☆ ☆

1 notable fact · grade F

1,002,040 1,002,041 1,002,042 1,002,043 1,002,044 1,002,045 1,002,046 1,002,047 1,002,048 1,002,049 1,002,050 1,002,051 1,002,052 1,002,053 1,002,054 1,002,055 1,002,056 1,002,057 1,002,058 1,002,059 1,002,060 1,002,061 1,002,062 1,002,063 1,002,064

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 10
Digit product: 0
Digital root: 1
Palindrome: No
Bit width: 20 bits
Reversed: 2,502,001
Square (n²): 1,004,108,210,704
Cube (n³): 1,006,168,640,752,364,608
Divisor count: 12
σ(n) — sum of divisors: 1,780,240
φ(n) — Euler's totient: 493,416
Sum of prime factors: 3,810

Primality

Prime factorization: 2 ² × 67 × 3739

Nearest primes: 1,002,049 (−3) · 1,002,061 (+9)

Divisors & multiples

All divisors (12)

1 · 2 · 4 · 67 · 134 · 268 · 3739 · 7478 · 14956 · 250513 · 501026 (half) · 1002052

Aliquot sum (sum of proper divisors): 778,188

Factor pairs (a × b = 1,002,052)

1 × 1002052

2 × 501026

4 × 250513

67 × 14956

134 × 7478

268 × 3739

First multiples

1,002,052 · 2,004,104 (double) · 3,006,156 · 4,008,208 · 5,010,260 · 6,012,312 · 7,014,364 · 8,016,416 · 9,018,468 · 10,020,520

Sums & aliquot sequence

As consecutive integers: 125,253 + 125,254 + … + 125,260 14,923 + 14,924 + … + 14,989 1,602 + 1,603 + … + 2,137

Aliquot sequence: 1,002,052 → 778,188 → 1,037,612 → 885,148 → 804,764 → 677,836 → 521,292 → 695,084 → 614,980 → 693,908 → 546,604 → 409,960 → 540,800 → 905,815 → 218,825 → 52,549 → 7,515 — unresolved within range

Continued fraction of √n

√1,002,052 = [1001; (39, 3, 1, 10, 1, 4, 1, 1, 2, 2, 3, 4, 4, 22, 3, 1, 6, 2, 2, 1, 2, 1, 31, 20, …)]

Representations

In words: one million two thousand fifty-two
Ordinal: 1002052nd
Binary: 11110100101001000100
Octal: 3645104
Hexadecimal: 0xF4A44
Base64: D0pE
One's complement: 4,293,965,243 (32-bit)
Scientific notation: 1.002052 × 10⁶
As a duration: 1,002,052 s = 11 days, 14 hours, 20 minutes, 52 seconds

In other bases

ternary (3) 1212220120001

quaternary (4) 3310221010

quinary (5) 224031202

senary (6) 33251044

septenary (7) 11342302

nonary (9) 1786501

undecimal (11) 624947

duodecimal (12) 403a84

tridecimal (13) 29113c

tetradecimal (14) 1c1272

pentadecimal (15) 14bd87

As an angle

1,002,052° = 2,783 × 360° + 172°

172° ≈ 3.002 rad

Compass bearing: S (south)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋 𒌋𒌋𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic: 𓁨𓆼𓆼𓎆𓎆𓎆𓎆𓎆𓏺𓏺
Chinese: 一百萬二千零五十二
Chinese (financial): 壹佰萬貳仟零伍拾貳

In other modern scripts

Eastern Arabic ١٠٠٢٠٥٢ Devanagari १००२०५२ Bengali ১০০২০৫২ Tamil ௧௦௦௨௦௫௨ Thai ๑๐๐๒๐๕๒ Tibetan ༡༠༠༢༠༥༢ Khmer ១០០២០៥២ Lao ໑໐໐໒໐໕໒ Burmese ၁၀၀၂၀၅၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1002052, here are decompositions:

3 + 1002049 = 1002052
71 + 1001981 = 1002052
251 + 1001801 = 1002052
269 + 1001783 = 1002052
383 + 1001669 = 1002052
431 + 1001621 = 1002052
503 + 1001549 = 1002052
521 + 1001531 = 1002052

Showing the first eight; more decompositions exist.

Hex color

#0F4A44

RGB(15, 74, 68)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.74.68.

Address: 0.15.74.68
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.74.68

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 1,002,052 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 US1,002,052 on Google Patents ↗ Look up on USPTO ↗