Live analysis

1,004,964

1,004,964 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.).

1,004,964 (one million four thousand nine hundred sixty-four) is an even 7-digit number. It is a composite number with 24 divisors, and factors as 2² × 3 × 83 × 1,009. Its proper divisors sum to 1,370,556, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF55A4.

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

Interestingness

★ ☆ ☆ ☆ ☆

3 notable facts · grade F

1,004,952 1,004,953 1,004,954 1,004,955 1,004,956 1,004,957 1,004,958 1,004,959 1,004,960 1,004,961 1,004,962 1,004,963 1,004,964 1,004,965 1,004,966 1,004,967 1,004,968 1,004,969 1,004,970 1,004,971 1,004,972 1,004,973 1,004,974 1,004,975 1,004,976

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 24
Digit product: 0
Digital root: 6
Palindrome: No
Bit width: 20 bits
Reversed: 4,694,001
Square (n²): 1,009,952,641,296
Cube (n³): 1,014,966,046,207,393,344
Divisor count: 24
σ(n) — sum of divisors: 2,375,520
φ(n) — Euler's totient: 330,624
Sum of prime factors: 1,099

Primality

Prime factorization: 2 ² × 3 × 83 × 1009

Nearest primes: 1,004,963 (−1) · 1,004,977 (+13)

Divisors & multiples

All divisors (24)

1 · 2 · 3 · 4 · 6 · 12 · 83 · 166 · 249 · 332 · 498 · 996 · 1009 · 2018 · 3027 · 4036 · 6054 · 12108 · 83747 · 167494 · 251241 · 334988 · 502482 (half) · 1004964

Aliquot sum (sum of proper divisors): 1,370,556

Factor pairs (a × b = 1,004,964)

1 × 1004964

2 × 502482

3 × 334988

4 × 251241

6 × 167494

12 × 83747

83 × 12108

166 × 6054

249 × 4036

332 × 3027

498 × 2018

996 × 1009

First multiples

1,004,964 · 2,009,928 (double) · 3,014,892 · 4,019,856 · 5,024,820 · 6,029,784 · 7,034,748 · 8,039,712 · 9,044,676 · 10,049,640

Sums & aliquot sequence

As consecutive integers: 334,987 + 334,988 + 334,989 125,617 + 125,618 + … + 125,624 41,862 + 41,863 + … + 41,885 12,067 + 12,068 + … + 12,149

Aliquot sequence: 1,004,964 → 1,370,556 → 2,409,948 → 3,681,956 → 2,983,864 → 3,077,096 → 3,316,504 → 3,272,936 → 2,883,064 → 3,195,536 → 2,995,846 → 2,139,914 → 1,528,534 → 1,291,562 → 652,630 → 708,170 → 622,390 — unresolved within range

Continued fraction of √n

√1,004,964 = [1002; (2, 11, 2, 1, 2, 1, 56, 1, 1, 3, 1, 11, 1, 3, 20, 1, 1, 1, 2, 2, 1, 3, 8, 1, …)]

Representations

In words: one million four thousand nine hundred sixty-four
Ordinal: 1004964th
Binary: 11110101010110100100
Octal: 3652644
Hexadecimal: 0xF55A4
Base64: D1Wk
One's complement: 4,293,962,331 (32-bit)
Scientific notation: 1.004964 × 10⁶
As a duration: 1,004,964 s = 11 days, 15 hours, 9 minutes, 24 seconds

In other bases

ternary (3) 1220001112220

quaternary (4) 3311112210

quinary (5) 224124324

senary (6) 33312340

septenary (7) 11353632

nonary (9) 1801486

undecimal (11) 627054

duodecimal (12) 4056b0

tridecimal (13) 29256c

tetradecimal (14) 1c2352

pentadecimal (15) 14cb79

As an angle

1,004,964° = 2,791 × 360° + 204°

204° ≈ 3.56 rad

Compass bearing: SSW (south-southwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓁨𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Chinese: 一百萬四千九百六十四
Chinese (financial): 壹佰萬肆仟玖佰陸拾肆

In other modern scripts

Eastern Arabic ١٠٠٤٩٦٤ Devanagari १००४९६४ Bengali ১০০৪৯৬৪ Tamil ௧௦௦௪௯௬௪ Thai ๑๐๐๔๙๖๔ Tibetan ༡༠༠༤༩༦༤ Khmer ១០០៤៩៦៤ Lao ໑໐໐໔໙໖໔ Burmese ၁၀၀၄၉၆၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1004964, here are decompositions:

47 + 1004917 = 1004964
53 + 1004911 = 1004964
61 + 1004903 = 1004964
167 + 1004797 = 1004964
227 + 1004737 = 1004964
241 + 1004723 = 1004964
277 + 1004687 = 1004964
293 + 1004671 = 1004964

Showing the first eight; more decompositions exist.

Hex color

#0F55A4

RGB(15, 85, 164)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.85.164.

Address: 0.15.85.164
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.85.164

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 1,004,964 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 US1,004,964 on Google Patents ↗ Look up on USPTO ↗