Live analysis

1,002,012

1,002,012 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.).

1,002,012 (one million two thousand twelve) is an even 7-digit number. It is a composite number with 24 divisors, and factors as 2² × 3 × 11 × 7,591. Its proper divisors sum to 1,548,900, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF4A1C.

Abundant Number Arithmetic Number Cube-Free Evil Number Gapful Number Happy Number Harshad / Niven Semiperfect Number

Interestingness

★ ★ ★ ★ ☆

6 notable facts · grade B

1,002,000 1,002,001 1,002,002 1,002,003 1,002,004 1,002,005 1,002,006 1,002,007 1,002,008 1,002,009 1,002,010 1,002,011 1,002,012 1,002,013 1,002,014 1,002,015 1,002,016 1,002,017 1,002,018 1,002,019 1,002,020 1,002,021 1,002,022 1,002,023 1,002,024

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 6
Digit product: 0
Digital root: 6
Palindrome: No
Bit width: 20 bits
Reversed: 2,102,001
Square (n²): 1,004,028,048,144
Cube (n³): 1,006,048,152,576,865,728
Divisor count: 24
σ(n) — sum of divisors: 2,550,912
φ(n) — Euler's totient: 303,600
Sum of prime factors: 7,609

Primality

Prime factorization: 2 ² × 3 × 11 × 7591

Nearest primes: 1,001,989 (−23) · 1,002,017 (+5)

Divisors & multiples

All divisors (24)

1 · 2 · 3 · 4 · 6 · 11 · 12 · 22 · 33 · 44 · 66 · 132 · 7591 · 15182 · 22773 · 30364 · 45546 · 83501 · 91092 · 167002 · 250503 · 334004 · 501006 (half) · 1002012

Aliquot sum (sum of proper divisors): 1,548,900

Factor pairs (a × b = 1,002,012)

1 × 1002012

2 × 501006

3 × 334004

4 × 250503

6 × 167002

11 × 91092

12 × 83501

22 × 45546

33 × 30364

44 × 22773

66 × 15182

132 × 7591

First multiples

1,002,012 · 2,004,024 (double) · 3,006,036 · 4,008,048 · 5,010,060 · 6,012,072 · 7,014,084 · 8,016,096 · 9,018,108 · 10,020,120

Sums & aliquot sequence

As consecutive integers: 334,003 + 334,004 + 334,005 125,248 + 125,249 + … + 125,255 91,087 + 91,088 + … + 91,097 41,739 + 41,740 + … + 41,762

Aliquot sequence: 1,002,012 → 1,548,900 → 3,308,862 → 3,408,450 → 5,329,086 → 7,247,682 → 10,049,598 → 13,786,578 → 20,082,222 → 24,707,538 → 30,198,222 → 44,101,458 → 52,528,842 → 61,765,338 → 63,817,062 → 63,916,698 → 64,079,142 — unresolved within range

Continued fraction of √n

√1,002,012 = [1001; (182, 2002)]

Period length 2 — the block in parentheses repeats forever.

Representations

In words: one million two thousand twelve
Ordinal: 1002012th
Binary: 11110100101000011100
Octal: 3645034
Hexadecimal: 0xF4A1C
Base64: D0oc
One's complement: 4,293,965,283 (32-bit)
Scientific notation: 1.002012 × 10⁶
As a duration: 1,002,012 s = 11 days, 14 hours, 20 minutes, 12 seconds

In other bases

ternary (3) 1212220111120

quaternary (4) 3310220130

quinary (5) 224031022

senary (6) 33250540

septenary (7) 11342214

nonary (9) 1786446

undecimal (11) 624910

duodecimal (12) 403a50

tridecimal (13) 29110b

tetradecimal (14) 1c1244

pentadecimal (15) 14bd5c

As an angle

1,002,012° = 2,783 × 360° + 132°

132° ≈ 2.304 rad

Compass bearing: SE (southeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋 𒌋𒁹𒁹
Egyptian hieroglyphic: 𓁨𓆼𓆼𓎆𓏺𓏺
Chinese: 一百萬二千零一十二
Chinese (financial): 壹佰萬貳仟零壹拾貳

In other modern scripts

Eastern Arabic ١٠٠٢٠١٢ Devanagari १००२०१२ Bengali ১০০২০১২ Tamil ௧௦௦௨௦௧௨ Thai ๑๐๐๒๐๑๒ Tibetan ༡༠༠༢༠༡༢ Khmer ១០០២០១២ Lao ໑໐໐໒໐໑໒ Burmese ၁၀၀၂၀၁၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1002012, here are decompositions:

23 + 1001989 = 1002012
29 + 1001983 = 1002012
31 + 1001981 = 1002012
59 + 1001953 = 1002012
71 + 1001941 = 1002012
79 + 1001933 = 1002012
101 + 1001911 = 1002012
173 + 1001839 = 1002012

Showing the first eight; more decompositions exist.

Hex color

#0F4A1C

RGB(15, 74, 28)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.74.28.

Address: 0.15.74.28
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.74.28

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 1,002,012 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 US1,002,012 on Google Patents ↗ Look up on USPTO ↗