Live analysis

1,020,008

1,020,008 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.).

1,020,008 (one million twenty thousand eight) is an even 7-digit number. It is a composite number with 32 divisors, and factors as 2³ × 11 × 67 × 173. Its proper divisors sum to 1,109,752, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF9068.

Abundant Number Arithmetic Number Harshad / Niven Odious Number Practical Number Semiperfect Number

Interestingness

★ ★ ☆ ☆ ☆

4 notable facts · grade D

1,019,996 1,019,997 1,019,998 1,019,999 1,020,000 1,020,001 1,020,002 1,020,003 1,020,004 1,020,005 1,020,006 1,020,007 1,020,008 1,020,009 1,020,010 1,020,011 1,020,012 1,020,013 1,020,014 1,020,015 1,020,016 1,020,017 1,020,018 1,020,019 1,020,020

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 11
Digit product: 0
Digital root: 2
Palindrome: No
Bit width: 20 bits
Reversed: 8,000,201
Square (n²): 1,040,416,320,064
Cube (n³): 1,061,232,969,795,840,512
Divisor count: 32
σ(n) — sum of divisors: 2,129,760
φ(n) — Euler's totient: 454,080
Sum of prime factors: 257

Primality

Prime factorization: 2 ³ × 11 × 67 × 173

Nearest primes: 1,020,007 (−1) · 1,020,011 (+3)

Divisors & multiples

All divisors (32)

1 · 2 · 4 · 8 · 11 · 22 · 44 · 67 · 88 · 134 · 173 · 268 · 346 · 536 · 692 · 737 · 1384 · 1474 · 1903 · 2948 · 3806 · 5896 · 7612 · 11591 · 15224 · 23182 · 46364 · 92728 · 127501 · 255002 · 510004 (half) · 1020008

Aliquot sum (sum of proper divisors): 1,109,752

Factor pairs (a × b = 1,020,008)

1 × 1020008

2 × 510004

4 × 255002

8 × 127501

11 × 92728

22 × 46364

44 × 23182

67 × 15224

88 × 11591

134 × 7612

173 × 5896

268 × 3806

346 × 2948

536 × 1903

692 × 1474

737 × 1384

First multiples

1,020,008 · 2,040,016 (double) · 3,060,024 · 4,080,032 · 5,100,040 · 6,120,048 · 7,140,056 · 8,160,064 · 9,180,072 · 10,200,080

Sums & aliquot sequence

As consecutive integers: 92,723 + 92,724 + … + 92,733 63,743 + 63,744 + … + 63,758 15,191 + 15,192 + … + 15,257 5,810 + 5,811 + … + 5,982

Aliquot sequence: 1,020,008 → 1,109,752 → 1,455,248 → 1,513,312 → 1,655,084 → 1,390,084 → 1,150,076 → 871,132 → 671,108 → 503,338 → 331,286 → 172,858 → 123,494 → 88,234 → 45,434 → 22,720 → 32,144 — unresolved within range

Continued fraction of √n

√1,020,008 = [1009; (1, 20, 1, 21, 1, 2, 1, 6, 4, 7, 1, 1, 1, 1, 1, 1, 1, 3, 1, 1, 11, 1, 3, 10, …)]

Period length 52 — the block in parentheses repeats forever.

Representations

In words: one million twenty thousand eight
Ordinal: 1020008th
Binary: 11111001000001101000
Octal: 3710150
Hexadecimal: 0xF9068
Base64: D5Bo
One's complement: 4,293,947,287 (32-bit)
Scientific notation: 1.020008 × 10⁶
As a duration: 1,020,008 s = 11 days, 19 hours, 20 minutes, 8 seconds

In other bases

ternary (3) 1220211012002

quaternary (4) 3321001220

quinary (5) 230120013

senary (6) 33510132

septenary (7) 11445533

nonary (9) 1824162

undecimal (11) 637390

duodecimal (12) 412348

tridecimal (13) 299372

tetradecimal (14) 1c7a1a

pentadecimal (15) 152358

As an angle

1,020,008° = 2,833 × 360° + 128°

128° ≈ 2.234 rad

Compass bearing: SE (southeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓁨𓂍𓂍𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Chinese: 一百零二萬零八
Chinese (financial): 壹佰零貳萬零捌

In other modern scripts

Eastern Arabic ١٠٢٠٠٠٨ Devanagari १०२०००८ Bengali ১০২০০০৮ Tamil ௧௦௨௦௦௦௮ Thai ๑๐๒๐๐๐๘ Tibetan ༡༠༢༠༠༠༨ Khmer ១០២០០០៨ Lao ໑໐໒໐໐໐໘ Burmese ၁၀၂၀၀၀၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1020008, here are decompositions:

7 + 1020001 = 1020008
37 + 1019971 = 1020008
109 + 1019899 = 1020008
151 + 1019857 = 1020008
181 + 1019827 = 1020008
277 + 1019731 = 1020008
307 + 1019701 = 1020008
499 + 1019509 = 1020008

Showing the first eight; more decompositions exist.

Hex color

#0F9068

RGB(15, 144, 104)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.144.104.

Address: 0.15.144.104
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.144.104

Unspecified address (0.0.0.0/8) — "this network" placeholder.

Possible date

Could be parsed as a date. Most likely interpretation: Wednesday, January 2, 0008 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)

0008-02-01 (DMMYYYY (Euro, single-digit day))
0008-10-02 (MMDYYYY (US, single-digit day))
0008-02-10 (DDMYYYY (Euro, single-digit month))

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 1,020,008 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 US1,020,008 on Google Patents ↗ Look up on USPTO ↗