Live analysis

1,000,664

1,000,664 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.).

1,000,664 (one million six hundred sixty-four) is an even 7-digit number. It is a composite number with 32 divisors, and factors as 2³ × 7 × 107 × 167. Its proper divisors sum to 1,176,616, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF44D8.

Abundant Number Arithmetic Number Evil Number Gapful Number Practical Number Semiperfect Number

Interestingness

★ ★ ☆ ☆ ☆

4 notable facts · grade D

1,000,652 1,000,653 1,000,654 1,000,655 1,000,656 1,000,657 1,000,658 1,000,659 1,000,660 1,000,661 1,000,662 1,000,663 1,000,664 1,000,665 1,000,666 1,000,667 1,000,668 1,000,669 1,000,670 1,000,671 1,000,672 1,000,673 1,000,674 1,000,675 1,000,676

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 17
Digit product: 0
Digital root: 8
Palindrome: No
Bit width: 20 bits
Reversed: 4,660,001
Square (n²): 1,001,328,440,896
Cube (n³): 1,001,993,322,980,754,944
Divisor count: 32
σ(n) — sum of divisors: 2,177,280
φ(n) — Euler's totient: 422,304
Sum of prime factors: 287

Primality

Prime factorization: 2 ³ × 7 × 107 × 167

Nearest primes: 1,000,651 (−13) · 1,000,667 (+3)

Divisors & multiples

All divisors (32)

1 · 2 · 4 · 7 · 8 · 14 · 28 · 56 · 107 · 167 · 214 · 334 · 428 · 668 · 749 · 856 · 1169 · 1336 · 1498 · 2338 · 2996 · 4676 · 5992 · 9352 · 17869 · 35738 · 71476 · 125083 · 142952 · 250166 · 500332 (half) · 1000664

Aliquot sum (sum of proper divisors): 1,176,616

Factor pairs (a × b = 1,000,664)

1 × 1000664

2 × 500332

4 × 250166

7 × 142952

8 × 125083

14 × 71476

28 × 35738

56 × 17869

107 × 9352

167 × 5992

214 × 4676

334 × 2996

428 × 2338

668 × 1498

749 × 1336

856 × 1169

First multiples

1,000,664 · 2,001,328 (double) · 3,001,992 · 4,002,656 · 5,003,320 · 6,003,984 · 7,004,648 · 8,005,312 · 9,005,976 · 10,006,640

Sums & aliquot sequence

As consecutive integers: 142,949 + 142,950 + … + 142,955 62,534 + 62,535 + … + 62,549 9,299 + 9,300 + … + 9,405 8,879 + 8,880 + … + 8,990

Aliquot sequence: 1,000,664 → 1,176,616 → 1,344,824 → 1,425,496 → 1,247,324 → 1,279,900 → 1,497,700 → 1,947,392 → 1,940,296 → 1,712,804 → 1,428,124 → 1,071,100 → 1,253,404 → 940,060 → 1,214,036 → 918,892 → 859,220 — unresolved within range

Continued fraction of √n

√1,000,664 = [1000; (3, 79, 1, 2, 3, 1, 5, 3, 36, 16, 1, 1, 35, 1, 6, 5, 1, 3, 1, 5, 6, 1, 35, 1, …)]

Period length 36 — the block in parentheses repeats forever.

Representations

In words: one million six hundred sixty-four
Ordinal: 1000664th
Binary: 11110100010011011000
Octal: 3642330
Hexadecimal: 0xF44D8
Base64: D0TY
One's complement: 4,293,966,631 (32-bit)
Scientific notation: 1.000664 × 10⁶
As a duration: 1,000,664 s = 11 days, 13 hours, 57 minutes, 44 seconds

In other bases

ternary (3) 1212211122122

quaternary (4) 3310103120

quinary (5) 224010124

senary (6) 33240412

septenary (7) 11335250

nonary (9) 1784578

undecimal (11) 6238a5

duodecimal (12) 403108

tridecimal (13) 290612

tetradecimal (14) 1c0960

pentadecimal (15) 14b75e

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓁨𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Chinese: 一百萬零六百六十四
Chinese (financial): 壹佰萬零陸佰陸拾肆

In other modern scripts

Eastern Arabic ١٠٠٠٦٦٤ Devanagari १०००६६४ Bengali ১০০০৬৬৪ Tamil ௧௦௦௦௬௬௪ Thai ๑๐๐๐๖๖๔ Tibetan ༡༠༠༠༦༦༤ Khmer ១០០០៦៦៤ Lao ໑໐໐໐໖໖໔ Burmese ၁၀၀၀၆၆၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1000664, here are decompositions:

13 + 1000651 = 1000664
43 + 1000621 = 1000664
127 + 1000537 = 1000664
157 + 1000507 = 1000664
211 + 1000453 = 1000664
241 + 1000423 = 1000664
271 + 1000393 = 1000664
283 + 1000381 = 1000664

Showing the first eight; more decompositions exist.

Hex color

#0F44D8

RGB(15, 68, 216)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.68.216.

Address: 0.15.68.216
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.68.216

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 1,000,664 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 US1,000,664 on Google Patents ↗ Look up on USPTO ↗