Live analysis

1,008,820

1,008,820 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.).

1,008,820 (one million eight thousand eight hundred twenty) is an even 7-digit number. It is a composite number with 12 divisors, and factors as 2² × 5 × 50,441. Its proper divisors sum to 1,109,744, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF64B4.

Abundant Number Arithmetic Number Cube-Free Gapful Number Happy Number Odious Number Pernicious Number Recamán's Sequence Semiperfect Number

Interestingness

★ ★ ★ ★ ☆

6 notable facts · grade B

1,008,808 1,008,809 1,008,810 1,008,811 1,008,812 1,008,813 1,008,814 1,008,815 1,008,816 1,008,817 1,008,818 1,008,819 1,008,820 1,008,821 1,008,822 1,008,823 1,008,824 1,008,825 1,008,826 1,008,827 1,008,828 1,008,829 1,008,830 1,008,831 1,008,832

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 19
Digit product: 0
Digital root: 1
Palindrome: No
Bit width: 20 bits
Reversed: 288,001
Recamán's sequence: a(347,811) = 1,008,820
Square (n²): 1,017,717,792,400
Cube (n³): 1,026,694,063,328,968,000
Divisor count: 12
σ(n) — sum of divisors: 2,118,564
φ(n) — Euler's totient: 403,520
Sum of prime factors: 50,450

Primality

Prime factorization: 2 ² × 5 × 50441

Nearest primes: 1,008,817 (−3) · 1,008,829 (+9)

Divisors & multiples

All divisors (12)

1 · 2 · 4 · 5 · 10 · 20 · 50441 · 100882 · 201764 · 252205 · 504410 (half) · 1008820

Aliquot sum (sum of proper divisors): 1,109,744

Factor pairs (a × b = 1,008,820)

1 × 1008820

2 × 504410

4 × 252205

5 × 201764

10 × 100882

20 × 50441

First multiples

1,008,820 · 2,017,640 (double) · 3,026,460 · 4,035,280 · 5,044,100 · 6,052,920 · 7,061,740 · 8,070,560 · 9,079,380 · 10,088,200

Sums & aliquot sequence

As a sum of two squares: 282² + 964² = 602² + 804²

As consecutive integers: 201,762 + 201,763 + 201,764 + 201,765 + 201,766 126,099 + 126,100 + … + 126,106 25,201 + 25,202 + … + 25,240

Aliquot sequence: 1,008,820 → 1,109,744 → 1,091,752 → 967,448 → 967,912 → 1,131,608 → 1,048,072 → 917,078 → 468,994 → 237,434 → 118,720 → 210,464 → 203,950 → 175,490 → 204,670 → 169,298 → 84,652 — unresolved within range

Continued fraction of √n

√1,008,820 = [1004; (2, 2, 125, 6, 1, 1, 1, 124, 1, 9, 502, 9, 1, 124, 1, 1, 1, 6, 125, 2, 2, 2008)]

Period length 22 — the block in parentheses repeats forever.

Representations

In words: one million eight thousand eight hundred twenty
Ordinal: 1008820th
Binary: 11110110010010110100
Octal: 3662264
Hexadecimal: 0xF64B4
Base64: D2S0
One's complement: 4,293,958,475 (32-bit)
Scientific notation: 1.00882 × 10⁶
As a duration: 1,008,820 s = 11 days, 16 hours, 13 minutes, 40 seconds

In other bases

ternary (3) 1220020211201

quaternary (4) 3312102310

quinary (5) 224240240

senary (6) 33342244

septenary (7) 11401111

nonary (9) 1806751

undecimal (11) 629a3a

duodecimal (12) 407984

tridecimal (13) 294247

tetradecimal (14) 1c3908

pentadecimal (15) 14dd9a

As an angle

1,008,820° = 2,802 × 360° + 100°

100° ≈ 1.745 rad

Compass bearing: E (east)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋 𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒌋
Egyptian hieroglyphic: 𓁨𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆
Chinese: 一百萬八千八百二十
Chinese (financial): 壹佰萬捌仟捌佰貳拾

In other modern scripts

Eastern Arabic ١٠٠٨٨٢٠ Devanagari १००८८२० Bengali ১০০৮৮২০ Tamil ௧௦௦௮௮௨௦ Thai ๑๐๐๘๘๒๐ Tibetan ༡༠༠༨༨༢༠ Khmer ១០០៨៨២០ Lao ໑໐໐໘໘໒໐ Burmese ၁၀၀၈၈၂၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1008820, here are decompositions:

3 + 1008817 = 1008820
11 + 1008809 = 1008820
41 + 1008779 = 1008820
47 + 1008773 = 1008820
101 + 1008719 = 1008820
233 + 1008587 = 1008820
257 + 1008563 = 1008820
317 + 1008503 = 1008820

Showing the first eight; more decompositions exist.

Hex color

#0F64B4

RGB(15, 100, 180)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.100.180.

Address: 0.15.100.180
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.100.180

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 1,008,820 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 US1,008,820 on Google Patents ↗ Look up on USPTO ↗