Live analysis

1,002,096

1,002,096 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.).

1,002,096 (one million two thousand ninety-six) is an even 7-digit number. It is a composite number with 30 divisors, and factors as 2⁴ × 3² × 6,959. Its proper divisors sum to 1,802,784, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF4A70.

Abundant Number Arithmetic Number Evil Number Gapful Number Harshad / Niven Semiperfect Number

Interestingness

★ ★ ☆ ☆ ☆

4 notable facts · grade D

1,002,084 1,002,085 1,002,086 1,002,087 1,002,088 1,002,089 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

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 18
Digit product: 0
Digital root: 9
Palindrome: No
Bit width: 20 bits
Reversed: 6,902,001
Square (n²): 1,004,196,393,216
Cube (n³): 1,006,301,188,856,180,736
Divisor count: 30
σ(n) — sum of divisors: 2,804,880
φ(n) — Euler's totient: 333,984
Sum of prime factors: 6,973

Primality

Prime factorization: 2 ⁴ × 3 ² × 6959

Nearest primes: 1,002,091 (−5) · 1,002,101 (+5)

Divisors & multiples

All divisors (30)

1 · 2 · 3 · 4 · 6 · 8 · 9 · 12 · 16 · 18 · 24 · 36 · 48 · 72 · 144 · 6959 · 13918 · 20877 · 27836 · 41754 · 55672 · 62631 · 83508 · 111344 · 125262 · 167016 · 250524 · 334032 · 501048 (half) · 1002096

Aliquot sum (sum of proper divisors): 1,802,784

Factor pairs (a × b = 1,002,096)

1 × 1002096

2 × 501048

3 × 334032

4 × 250524

6 × 167016

8 × 125262

9 × 111344

12 × 83508

16 × 62631

18 × 55672

24 × 41754

36 × 27836

48 × 20877

72 × 13918

144 × 6959

First multiples

1,002,096 · 2,004,192 (double) · 3,006,288 · 4,008,384 · 5,010,480 · 6,012,576 · 7,014,672 · 8,016,768 · 9,018,864 · 10,020,960

Sums & aliquot sequence

As consecutive integers: 334,031 + 334,032 + 334,033 111,340 + 111,341 + … + 111,348 31,300 + 31,301 + … + 31,331 10,391 + 10,392 + … + 10,486

Aliquot sequence: 1,002,096 → 1,802,784 → 3,005,376 → 5,675,328 → 10,966,752 → 21,293,784 → 37,042,416 → 66,625,304 → 58,399,816 → 52,185,524 → 42,085,324 → 31,564,000 → 52,091,936 → 58,353,868 → 44,501,052 → 59,334,764 → 44,501,080 — unresolved within range

Continued fraction of √n

√1,002,096 = [1001; (21, 13, 2, 12, 31, 1, 2, 3, 11, 1, 2, 4, 1, 1, 1, 26, 1, 3, 1, 1, 2, 1, 3, 1, …)]

Representations

In words: one million two thousand ninety-six
Ordinal: 1002096th
Binary: 11110100101001110000
Octal: 3645160
Hexadecimal: 0xF4A70
Base64: D0pw
One's complement: 4,293,965,199 (32-bit)
Scientific notation: 1.002096 × 10⁶
As a duration: 1,002,096 s = 11 days, 14 hours, 21 minutes, 36 seconds

In other bases

ternary (3) 1212220121200

quaternary (4) 3310221300

quinary (5) 224031341

senary (6) 33251200

septenary (7) 11342364

nonary (9) 1786550

undecimal (11) 624987

duodecimal (12) 403b00

tridecimal (13) 291174

tetradecimal (14) 1c12a4

pentadecimal (15) 14bdb6

As an angle

1,002,096° = 2,783 × 360° + 216°

216° ≈ 3.77 rad

Compass bearing: SW (southwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓁨𓆼𓆼𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Chinese: 一百萬二千零九十六
Chinese (financial): 壹佰萬貳仟零玖拾陸

In other modern scripts

Eastern Arabic ١٠٠٢٠٩٦ Devanagari १००२०९६ Bengali ১০০২০৯৬ Tamil ௧௦௦௨௦௯௬ Thai ๑๐๐๒๐๙๖ Tibetan ༡༠༠༢༠༩༦ Khmer ១០០២០៩៦ Lao ໑໐໐໒໐໙໖ Burmese ၁၀၀၂၀၉၆

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1002096, here are decompositions:

5 + 1002091 = 1002096
13 + 1002083 = 1002096
19 + 1002077 = 1002096
23 + 1002073 = 1002096
47 + 1002049 = 1002096
79 + 1002017 = 1002096
107 + 1001989 = 1002096
113 + 1001983 = 1002096

Showing the first eight; more decompositions exist.

Hex color

#0F4A70

RGB(15, 74, 112)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.74.112.

Address: 0.15.74.112
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.74.112

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 1,002,096 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 US1,002,096 on Google Patents ↗ Look up on USPTO ↗