Live analysis

1,000,820

1,000,820 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.).

1,000,820 (one million eight hundred twenty) is an even 7-digit number. It is a composite number with 24 divisors, and factors as 2² × 5 × 163 × 307. Its proper divisors sum to 1,120,684, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF4574.

Abundant Number Arithmetic Number Cube-Free Gapful Number Odious Number Pernicious Number Semiperfect Number

Interestingness

★ ★ ☆ ☆ ☆

4 notable facts · grade D

1,000,808 1,000,809 1,000,810 1,000,811 1,000,812 1,000,813 1,000,814 1,000,815 1,000,816 1,000,817 1,000,818 1,000,819 1,000,820 1,000,821 1,000,822 1,000,823 1,000,824 1,000,825 1,000,826 1,000,827 1,000,828 1,000,829 1,000,830 1,000,831 1,000,832

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 11
Digit product: 0
Digital root: 2
Palindrome: No
Bit width: 20 bits
Reversed: 280,001
Square (n²): 1,001,640,672,400
Cube (n³): 1,002,462,017,751,368,000
Divisor count: 24
σ(n) — sum of divisors: 2,121,504
φ(n) — Euler's totient: 396,576
Sum of prime factors: 479

Primality

Prime factorization: 2 ² × 5 × 163 × 307

Nearest primes: 1,000,793 (−27) · 1,000,829 (+9)

Divisors & multiples

All divisors (24)

1 · 2 · 4 · 5 · 10 · 20 · 163 · 307 · 326 · 614 · 652 · 815 · 1228 · 1535 · 1630 · 3070 · 3260 · 6140 · 50041 · 100082 · 200164 · 250205 · 500410 (half) · 1000820

Aliquot sum (sum of proper divisors): 1,120,684

Factor pairs (a × b = 1,000,820)

1 × 1000820

2 × 500410

4 × 250205

5 × 200164

10 × 100082

20 × 50041

163 × 6140

307 × 3260

326 × 3070

614 × 1630

652 × 1535

815 × 1228

First multiples

1,000,820 · 2,001,640 (double) · 3,002,460 · 4,003,280 · 5,004,100 · 6,004,920 · 7,005,740 · 8,006,560 · 9,007,380 · 10,008,200

Sums & aliquot sequence

As consecutive integers: 200,162 + 200,163 + 200,164 + 200,165 + 200,166 125,099 + 125,100 + … + 125,106 25,001 + 25,002 + … + 25,040 6,059 + 6,060 + … + 6,221

Aliquot sequence: 1,000,820 → 1,120,684 → 847,940 → 932,776 → 950,924 → 841,300 → 1,033,580 → 1,136,980 → 1,434,932 → 1,076,206 → 588,002 → 294,004 → 237,324 → 316,460 → 348,148 → 261,118 → 208,106 — unresolved within range

Continued fraction of √n

√1,000,820 = [1000; (2, 2, 3, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 16, 1, 6, 2, 3, 1, 2, 2, 5, 4, …)]

Representations

In words: one million eight hundred twenty
Ordinal: 1000820th
Binary: 11110100010101110100
Octal: 3642564
Hexadecimal: 0xF4574
Base64: D0V0
One's complement: 4,293,966,475 (32-bit)
Scientific notation: 1.00082 × 10⁶
As a duration: 1,000,820 s = 11 days, 14 hours, 20 seconds

In other bases

ternary (3) 1212211212102

quaternary (4) 3310111310

quinary (5) 224011240

senary (6) 33241232

septenary (7) 11335562

nonary (9) 1784772

undecimal (11) 623a27

duodecimal (12) 403218

tridecimal (13) 290702

tetradecimal (14) 1c0a32

pentadecimal (15) 14b815

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 · 𒌋𒌋
Egyptian hieroglyphic: 𓁨𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆
Chinese: 一百萬零八百二十
Chinese (financial): 壹佰萬零捌佰貳拾

In other modern scripts

Eastern Arabic ١٠٠٠٨٢٠ Devanagari १०००८२० Bengali ১০০০৮২০ Tamil ௧௦௦௦௮௨௦ Thai ๑๐๐๐๘๒๐ Tibetan ༡༠༠༠༨༢༠ Khmer ១០០០៨២០ Lao ໑໐໐໐໘໒໐ Burmese ၁၀၀၀၈၂၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1000820, here are decompositions:

43 + 1000777 = 1000820
97 + 1000723 = 1000820
151 + 1000669 = 1000820
181 + 1000639 = 1000820
199 + 1000621 = 1000820
211 + 1000609 = 1000820
241 + 1000579 = 1000820
283 + 1000537 = 1000820

Showing the first eight; more decompositions exist.

Hex color

#0F4574

RGB(15, 69, 116)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.69.116.

Address: 0.15.69.116
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.69.116

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 1,000,820 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 US1,000,820 on Google Patents ↗ Look up on USPTO ↗