Live analysis

1,008,036

1,008,036 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.).

1,008,036 (one million eight thousand thirty-six) is an even 7-digit number. It is a composite number with 18 divisors, and factors as 2² × 3² × 28,001. Its proper divisors sum to 1,540,146, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF61A4.

Abundant Number Cube-Free Evil Number Harshad / Niven Recamán's Sequence Refactorable Number Semiperfect Number

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

1,008,024 1,008,025 1,008,026 1,008,027 1,008,028 1,008,029 1,008,030 1,008,031 1,008,032 1,008,033 1,008,034 1,008,035 1,008,036 1,008,037 1,008,038 1,008,039 1,008,040 1,008,041 1,008,042 1,008,043 1,008,044 1,008,045 1,008,046 1,008,047 1,008,048

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 18
Digit product: 0
Digital root: 9
Palindrome: No
Bit width: 20 bits
Reversed: 6,308,001
Recamán's sequence: a(349,379) = 1,008,036
Square (n²): 1,016,136,577,296
Cube (n³): 1,024,302,250,831,150,656
Divisor count: 18
σ(n) — sum of divisors: 2,548,182
φ(n) — Euler's totient: 336,000
Sum of prime factors: 28,011

Primality

Prime factorization: 2 ² × 3 ² × 28001

Nearest primes: 1,008,031 (−5) · 1,008,037 (+1)

Divisors & multiples

All divisors (18)

1 · 2 · 3 · 4 · 6 · 9 · 12 · 18 · 36 · 28001 · 56002 · 84003 · 112004 · 168006 · 252009 · 336012 · 504018 (half) · 1008036

Aliquot sum (sum of proper divisors): 1,540,146

Factor pairs (a × b = 1,008,036)

1 × 1008036

2 × 504018

3 × 336012

4 × 252009

6 × 168006

9 × 112004

12 × 84003

18 × 56002

36 × 28001

First multiples

1,008,036 · 2,016,072 (double) · 3,024,108 · 4,032,144 · 5,040,180 · 6,048,216 · 7,056,252 · 8,064,288 · 9,072,324 · 10,080,360

Sums & aliquot sequence

As a sum of two squares: 294² + 960²

As consecutive integers: 336,011 + 336,012 + 336,013 126,001 + 126,002 + … + 126,008 112,000 + 112,001 + … + 112,008 41,990 + 41,991 + … + 42,013

Aliquot sequence: 1,008,036 → 1,540,146 → 1,558,158 → 2,160,498 → 2,232,078 → 2,232,090 → 4,576,230 → 8,357,850 → 15,390,630 → 24,625,242 → 30,097,638 → 35,113,950 → 59,226,738 → 61,981,998 → 71,517,858 → 78,436,254 → 90,503,538 — unresolved within range

Continued fraction of √n

√1,008,036 = [1004; (100, 2, 2, 79, 1, 11, 1, 1, 3, 2, 62, 3, 5, 12, 2, 1, 3, 7, 2, 2, 1, 2, 5, 1, …)]

Representations

In words: one million eight thousand thirty-six
Ordinal: 1008036th
Binary: 11110110000110100100
Octal: 3660644
Hexadecimal: 0xF61A4
Base64: D2Gk
One's complement: 4,293,959,259 (32-bit)
Scientific notation: 1.008036 × 10⁶
As a duration: 1,008,036 s = 11 days, 16 hours, 36 seconds

In other bases

ternary (3) 1220012202200

quaternary (4) 3312012210

quinary (5) 224224121

senary (6) 33334500

septenary (7) 11365611

nonary (9) 1805680

undecimal (11) 629397

duodecimal (12) 407430

tridecimal (13) 293a93

tetradecimal (14) 1c3508

pentadecimal (15) 14da26

As an angle

1,008,036° = 2,800 × 360° + 36°

36° ≈ 0.628 rad

Compass bearing: NE (northeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋 · 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓁨𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Chinese: 一百萬八千零三十六
Chinese (financial): 壹佰萬捌仟零參拾陸

In other modern scripts

Eastern Arabic ١٠٠٨٠٣٦ Devanagari १००८०३६ Bengali ১০০৮০৩৬ Tamil ௧௦௦௮௦௩௬ Thai ๑๐๐๘๐๓๖ Tibetan ༡༠༠༨༠༣༦ Khmer ១០០៨០៣៦ Lao ໑໐໐໘໐໓໖ Burmese ၁၀၀၈၀၃၆

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1008036, here are decompositions:

5 + 1008031 = 1008036
19 + 1008017 = 1008036
23 + 1008013 = 1008036
59 + 1007977 = 1008036
79 + 1007957 = 1008036
97 + 1007939 = 1008036
103 + 1007933 = 1008036
149 + 1007887 = 1008036

Showing the first eight; more decompositions exist.

Hex color

#0F61A4

RGB(15, 97, 164)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.97.164.

Address: 0.15.97.164
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.97.164

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 1,008,036 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 US1,008,036 on Google Patents ↗ Look up on USPTO ↗