Live analysis

1,007,664

1,007,664 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.).

1,007,664 (one million seven thousand six hundred sixty-four) is an even 7-digit number. It is a composite number with 40 divisors, and factors as 2⁴ × 3 × 7 × 2,999. Its proper divisors sum to 1,968,336, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF6030.

Abundant Number Arithmetic Number Evil Number Gapful Number Harshad / Niven Recamán's Sequence Semiperfect Number

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

1,007,652 1,007,653 1,007,654 1,007,655 1,007,656 1,007,657 1,007,658 1,007,659 1,007,660 1,007,661 1,007,662 1,007,663 1,007,664 1,007,665 1,007,666 1,007,667 1,007,668 1,007,669 1,007,670 1,007,671 1,007,672 1,007,673 1,007,674 1,007,675 1,007,676

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 24
Digit product: 0
Digital root: 6
Palindrome: No
Bit width: 20 bits
Reversed: 4,667,001
Recamán's sequence: a(350,123) = 1,007,664
Square (n²): 1,015,386,736,896
Cube (n³): 1,023,168,660,847,570,944
Divisor count: 40
σ(n) — sum of divisors: 2,976,000
φ(n) — Euler's totient: 287,808
Sum of prime factors: 3,017

Primality

Prime factorization: 2 ⁴ × 3 × 7 × 2999

Nearest primes: 1,007,651 (−13) · 1,007,681 (+17)

Divisors & multiples

All divisors (40)

1 · 2 · 3 · 4 · 6 · 7 · 8 · 12 · 14 · 16 · 21 · 24 · 28 · 42 · 48 · 56 · 84 · 112 · 168 · 336 · 2999 · 5998 · 8997 · 11996 · 17994 · 20993 · 23992 · 35988 · 41986 · 47984 · 62979 · 71976 · 83972 · 125958 · 143952 · 167944 · 251916 · 335888 · 503832 (half) · 1007664

Aliquot sum (sum of proper divisors): 1,968,336

Factor pairs (a × b = 1,007,664)

1 × 1007664

2 × 503832

3 × 335888

4 × 251916

6 × 167944

7 × 143952

8 × 125958

12 × 83972

14 × 71976

16 × 62979

21 × 47984

24 × 41986

28 × 35988

42 × 23992

48 × 20993

56 × 17994

84 × 11996

112 × 8997

168 × 5998

336 × 2999

First multiples

1,007,664 · 2,015,328 (double) · 3,022,992 · 4,030,656 · 5,038,320 · 6,045,984 · 7,053,648 · 8,061,312 · 9,068,976 · 10,076,640

Sums & aliquot sequence

As consecutive integers: 335,887 + 335,888 + 335,889 143,949 + 143,950 + … + 143,955 47,974 + 47,975 + … + 47,994 31,474 + 31,475 + … + 31,505

Aliquot sequence: 1,007,664 → 1,968,336 → 3,540,674 → 1,770,340 → 2,604,380 → 2,920,468 → 2,204,204 → 1,663,660 → 1,856,276 → 1,392,214 → 696,110 → 567,922 → 283,964 → 212,980 → 254,732 → 201,724 → 181,316 — unresolved within range

Continued fraction of √n

√1,007,664 = [1003; (1, 4, 1, 2, 2, 1, 1, 1, 3, 2, 1, 3, 3, 1, 1, 3, 1, 1, 1, 1, 1, 1, 5, 1, …)]

Representations

In words: one million seven thousand six hundred sixty-four
Ordinal: 1007664th
Binary: 11110110000000110000
Octal: 3660060
Hexadecimal: 0xF6030
Base64: D2Aw
One's complement: 4,293,959,631 (32-bit)
Scientific notation: 1.007664 × 10⁶
As a duration: 1,007,664 s = 11 days, 15 hours, 54 minutes, 24 seconds

In other bases

ternary (3) 1220012020220

quaternary (4) 3312000300

quinary (5) 224221124

senary (6) 33333040

septenary (7) 11364540

nonary (9) 1805226

undecimal (11) 629089

duodecimal (12) 407180

tridecimal (13) 293868

tetradecimal (14) 1c3320

pentadecimal (15) 14d879

As an angle

1,007,664° = 2,799 × 360° + 24°

24° ≈ 0.419 rad

Compass bearing: NNE (north-northeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓁨𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Chinese: 一百萬七千六百六十四
Chinese (financial): 壹佰萬柒仟陸佰陸拾肆

In other modern scripts

Eastern Arabic ١٠٠٧٦٦٤ Devanagari १००७६६४ Bengali ১০০৭৬৬৪ Tamil ௧௦௦௭௬௬௪ Thai ๑๐๐๗๖๖๔ Tibetan ༡༠༠༧༦༦༤ Khmer ១០០៧៦៦៤ Lao ໑໐໐໗໖໖໔ Burmese ၁၀၀၇၆၆၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1007664, here are decompositions:

13 + 1007651 = 1007664
17 + 1007647 = 1007664
67 + 1007597 = 1007664
107 + 1007557 = 1007664
137 + 1007527 = 1007664
167 + 1007497 = 1007664
181 + 1007483 = 1007664
197 + 1007467 = 1007664

Showing the first eight; more decompositions exist.

Hex color

#0F6030

RGB(15, 96, 48)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.96.48.

Address: 0.15.96.48
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.96.48

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 1,007,664 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 US1,007,664 on Google Patents ↗ Look up on USPTO ↗