Live analysis

1,000,688

1,000,688 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.).

1,000,688 (one million six hundred eighty-eight) is an even 7-digit number. It is a composite number with 40 divisors, and factors as 2⁴ × 13 × 17 × 283. Its proper divisors sum to 1,217,920, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF44F0.

Abundant Number Evil Number Flippable Practical Number Semiperfect Number

Interestingness

★ ☆ ☆ ☆ ☆

3 notable facts · grade F

1,000,676 1,000,677 1,000,678 1,000,679 1,000,680 1,000,681 1,000,682 1,000,683 1,000,684 1,000,685 1,000,686 1,000,687 1,000,688 1,000,689 1,000,690 1,000,691 1,000,692 1,000,693 1,000,694 1,000,695 1,000,696 1,000,697 1,000,698 1,000,699 1,000,700

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 23
Digit product: 0
Digital root: 5
Palindrome: No
Bit width: 20 bits
Reversed: 8,860,001
Flips to (rotate 180°): 8,890,001
Square (n²): 1,001,376,473,344
Cube (n³): 1,002,065,420,357,660,672
Divisor count: 40
σ(n) — sum of divisors: 2,218,608
φ(n) — Euler's totient: 433,152
Sum of prime factors: 321

Primality

Prime factorization: 2 ⁴ × 13 × 17 × 283

Nearest primes: 1,000,679 (−9) · 1,000,691 (+3)

Divisors & multiples

All divisors (40)

1 · 2 · 4 · 8 · 13 · 16 · 17 · 26 · 34 · 52 · 68 · 104 · 136 · 208 · 221 · 272 · 283 · 442 · 566 · 884 · 1132 · 1768 · 2264 · 3536 · 3679 · 4528 · 4811 · 7358 · 9622 · 14716 · 19244 · 29432 · 38488 · 58864 · 62543 · 76976 · 125086 · 250172 · 500344 (half) · 1000688

Aliquot sum (sum of proper divisors): 1,217,920

Factor pairs (a × b = 1,000,688)

1 × 1000688

2 × 500344

4 × 250172

8 × 125086

13 × 76976

16 × 62543

17 × 58864

26 × 38488

34 × 29432

52 × 19244

68 × 14716

104 × 9622

136 × 7358

208 × 4811

221 × 4528

272 × 3679

283 × 3536

442 × 2264

566 × 1768

884 × 1132

First multiples

1,000,688 · 2,001,376 (double) · 3,002,064 · 4,002,752 · 5,003,440 · 6,004,128 · 7,004,816 · 8,005,504 · 9,006,192 · 10,006,880

Sums & aliquot sequence

As consecutive integers: 76,970 + 76,971 + … + 76,982 58,856 + 58,857 + … + 58,872 31,256 + 31,257 + … + 31,287 4,418 + 4,419 + … + 4,638

Aliquot sequence: 1,000,688 → 1,217,920 → 1,976,720 → 2,619,340 → 3,317,780 → 4,017,100 → 5,309,560 → 6,637,040 → 8,794,264 → 8,946,536 → 7,828,234 → 4,424,726 → 2,651,434 → 1,346,906 → 857,158 → 428,582 → 414,682 — unresolved within range

Continued fraction of √n

√1,000,688 = [1000; (2, 1, 9, 1, 4, 4, 1, 2, 1, 37, 1, 2, 1, 4, 4, 1, 9, 1, 2, 2000)]

Period length 20 — the block in parentheses repeats forever.

Representations

In words: one million six hundred eighty-eight
Ordinal: 1000688th
Binary: 11110100010011110000
Octal: 3642360
Hexadecimal: 0xF44F0
Base64: D0Tw
One's complement: 4,293,966,607 (32-bit)
Scientific notation: 1.000688 × 10⁶
As a duration: 1,000,688 s = 11 days, 13 hours, 58 minutes, 8 seconds

In other bases

ternary (3) 1212211200112

quaternary (4) 3310103300

quinary (5) 224010223

senary (6) 33240452

septenary (7) 11335313

nonary (9) 1784615

undecimal (11) 623917

duodecimal (12) 403128

tridecimal (13) 290630

tetradecimal (14) 1c097a

pentadecimal (15) 14b778

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓁨𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Chinese: 一百萬零六百八十八
Chinese (financial): 壹佰萬零陸佰捌拾捌

In other modern scripts

Eastern Arabic ١٠٠٠٦٨٨ Devanagari १०००६८८ Bengali ১০০০৬৮৮ Tamil ௧௦௦௦௬௮௮ Thai ๑๐๐๐๖๘๘ Tibetan ༡༠༠༠༦༨༨ Khmer ១០០០៦៨៨ Lao ໑໐໐໐໖໘໘ Burmese ၁၀၀၀၆၈၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1000688, here are decompositions:

19 + 1000669 = 1000688
37 + 1000651 = 1000688
67 + 1000621 = 1000688
79 + 1000609 = 1000688
109 + 1000579 = 1000688
151 + 1000537 = 1000688
181 + 1000507 = 1000688
307 + 1000381 = 1000688

Showing the first eight; more decompositions exist.

Hex color

#0F44F0

RGB(15, 68, 240)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.68.240.

Address: 0.15.68.240
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.68.240

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 1,000,688 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 US1,000,688 on Google Patents ↗ Look up on USPTO ↗