Live analysis

1,002,102

1,002,102 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.).

1,002,102 (one million two thousand one hundred two) is an even 7-digit number. It is a composite number with 8 divisors, and factors as 2 × 3 × 167,017. Its proper divisors sum to 1,002,114, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF4A76.

Abundant Number Arithmetic Number Cube-Free Evil Number Happy Number Harshad / Niven Moran Number Semiperfect Number Sphenic Number Squarefree

Interestingness

★ ★ ★ ★ ★

8 notable facts · grade A

1,002,090 1,002,091 1,002,092 1,002,093 1,002,094 1,002,095 1,002,096 1,002,097 1,002,098 1,002,099 1,002,100 1,002,101 1,002,102 1,002,103 1,002,104 1,002,105 1,002,106 1,002,107 1,002,108 1,002,109 1,002,110 1,002,111 1,002,112 1,002,113 1,002,114

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 6
Digit product: 0
Digital root: 6
Palindrome: No
Bit width: 20 bits
Reversed: 2,012,001
Square (n²): 1,004,208,418,404
Cube (n³): 1,006,319,264,499,485,208
Divisor count: 8
σ(n) — sum of divisors: 2,004,216
φ(n) — Euler's totient: 334,032
Sum of prime factors: 167,022

Primality

Prime factorization: 2 × 3 × 167017

Nearest primes: 1,002,101 (−1) · 1,002,109 (+7)

Divisors & multiples

All divisors (8)

1 · 2 · 3 · 6 · 167017 · 334034 · 501051 (half) · 1002102

Aliquot sum (sum of proper divisors): 1,002,114

Factor pairs (a × b = 1,002,102)

1 × 1002102

2 × 501051

3 × 334034

6 × 167017

First multiples

1,002,102 · 2,004,204 (double) · 3,006,306 · 4,008,408 · 5,010,510 · 6,012,612 · 7,014,714 · 8,016,816 · 9,018,918 · 10,021,020

Sums & aliquot sequence

As consecutive integers: 334,033 + 334,034 + 334,035 250,524 + 250,525 + 250,526 + 250,527 83,503 + 83,504 + … + 83,514

Aliquot sequence: 1,002,102 → 1,002,114 → 1,169,172 → 1,853,484 → 2,495,364 → 3,327,180 → 6,398,004 → 8,530,700 → 10,790,980 → 11,931,860 → 13,125,088 → 15,451,712 → 17,405,728 → 16,861,862 → 9,272,410 → 10,422,182 → 5,211,094 — unresolved within range

Continued fraction of √n

√1,002,102 = [1001; (19, 1, 4, 1, 1, 1, 2, 7, 1, 13, 4, 1, 1, 2, 1, 10, 1, 3, 1, 2, 2, 3, 1, 1, …)]

Representations

In words: one million two thousand one hundred two
Ordinal: 1002102nd
Binary: 11110100101001110110
Octal: 3645166
Hexadecimal: 0xF4A76
Base64: D0p2
One's complement: 4,293,965,193 (32-bit)
Scientific notation: 1.002102 × 10⁶
As a duration: 1,002,102 s = 11 days, 14 hours, 21 minutes, 42 seconds

In other bases

ternary (3) 1212220121220

quaternary (4) 3310221312

quinary (5) 224031402

senary (6) 33251210

septenary (7) 11342403

nonary (9) 1786556

undecimal (11) 624992

duodecimal (12) 403b06

tridecimal (13) 29117a

tetradecimal (14) 1c12aa

pentadecimal (15) 14bdbc

As an angle

1,002,102° = 2,783 × 360° + 222°

222° ≈ 3.875 rad

Compass bearing: SW (southwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹 𒌋𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic: 𓁨𓆼𓆼𓍢𓏺𓏺
Chinese: 一百萬二千一百零二
Chinese (financial): 壹佰萬貳仟壹佰零貳

In other modern scripts

Eastern Arabic ١٠٠٢١٠٢ Devanagari १००२१०२ Bengali ১০০২১০২ Tamil ௧௦௦௨௧௦௨ Thai ๑๐๐๒๑๐๒ Tibetan ༡༠༠༢༡༠༢ Khmer ១០០២១០២ Lao ໑໐໐໒໑໐໒ Burmese ၁၀၀၂၁၀၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1002102, here are decompositions:

11 + 1002091 = 1002102
19 + 1002083 = 1002102
29 + 1002073 = 1002102
41 + 1002061 = 1002102
53 + 1002049 = 1002102
113 + 1001989 = 1002102
149 + 1001953 = 1002102
191 + 1001911 = 1002102

Showing the first eight; more decompositions exist.

Hex color

#0F4A76

RGB(15, 74, 118)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.74.118.

Address: 0.15.74.118
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.74.118

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 1,002,102 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 US1,002,102 on Google Patents ↗ Look up on USPTO ↗