Live analysis

1,004,772

1,004,772 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.).

1,004,772 (one million four thousand seven hundred seventy-two) is an even 7-digit number. It is a composite number with 48 divisors, and factors as 2² × 3 × 31 × 37 × 73. Its proper divisors sum to 1,514,780, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF54E4.

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

Interestingness

★ ☆ ☆ ☆ ☆

3 notable facts · grade F

1,004,760 1,004,761 1,004,762 1,004,763 1,004,764 1,004,765 1,004,766 1,004,767 1,004,768 1,004,769 1,004,770 1,004,771 1,004,772 1,004,773 1,004,774 1,004,775 1,004,776 1,004,777 1,004,778 1,004,779 1,004,780 1,004,781 1,004,782 1,004,783 1,004,784

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 21
Digit product: 0
Digital root: 3
Palindrome: No
Bit width: 20 bits
Reversed: 2,774,001
Square (n²): 1,009,566,771,984
Cube (n³): 1,014,384,424,619,907,648
Divisor count: 48
σ(n) — sum of divisors: 2,519,552
φ(n) — Euler's totient: 311,040
Sum of prime factors: 148

Primality

Prime factorization: 2 ² × 3 × 31 × 37 × 73

Nearest primes: 1,004,761 (−11) · 1,004,779 (+7)

Divisors & multiples

All divisors (48)

1 · 2 · 3 · 4 · 6 · 12 · 31 · 37 · 62 · 73 · 74 · 93 · 111 · 124 · 146 · 148 · 186 · 219 · 222 · 292 · 372 · 438 · 444 · 876 · 1147 · 2263 · 2294 · 2701 · 3441 · 4526 · 4588 · 5402 · 6789 · 6882 · 8103 · 9052 · 10804 · 13578 · 13764 · 16206 · 27156 · 32412 · 83731 · 167462 · 251193 · 334924 · 502386 (half) · 1004772

Aliquot sum (sum of proper divisors): 1,514,780

Factor pairs (a × b = 1,004,772)

1 × 1004772

2 × 502386

3 × 334924

4 × 251193

6 × 167462

12 × 83731

31 × 32412

37 × 27156

62 × 16206

73 × 13764

74 × 13578

93 × 10804

111 × 9052

124 × 8103

146 × 6882

148 × 6789

186 × 5402

219 × 4588

222 × 4526

292 × 3441

372 × 2701

438 × 2294

444 × 2263

876 × 1147

First multiples

1,004,772 · 2,009,544 (double) · 3,014,316 · 4,019,088 · 5,023,860 · 6,028,632 · 7,033,404 · 8,038,176 · 9,042,948 · 10,047,720

Sums & aliquot sequence

As consecutive integers: 334,923 + 334,924 + 334,925 125,593 + 125,594 + … + 125,600 41,854 + 41,855 + … + 41,877 32,397 + 32,398 + … + 32,427

Aliquot sequence: 1,004,772 → 1,514,780 → 1,932,580 → 2,438,612 → 2,463,628 → 1,847,728 → 1,888,640 → 2,995,120 → 4,214,240 → 5,742,280 → 7,331,120 → 9,713,920 → 13,557,020 → 15,397,780 → 17,275,028 → 14,547,532 → 10,942,268 — unresolved within range

Continued fraction of √n

√1,004,772 = [1002; (2, 1, 1, 1, 1, 3, 2, 4, 1, 1, 1, 1, 3, 5, 10, 3, 1, 30, 1, 1, 3, 6, 1, 1, …)]

Representations

In words: one million four thousand seven hundred seventy-two
Ordinal: 1004772nd
Binary: 11110101010011100100
Octal: 3652344
Hexadecimal: 0xF54E4
Base64: D1Tk
One's complement: 4,293,962,523 (32-bit)
Scientific notation: 1.004772 × 10⁶
As a duration: 1,004,772 s = 11 days, 15 hours, 6 minutes, 12 seconds

In other bases

ternary (3) 1220001021210

quaternary (4) 3311103210

quinary (5) 224123042

senary (6) 33311420

septenary (7) 11353236

nonary (9) 1801253

undecimal (11) 62699a

duodecimal (12) 405570

tridecimal (13) 292452

tetradecimal (14) 1c2256

pentadecimal (15) 14ca9c

As an angle

1,004,772° = 2,791 × 360° + 12°

12° ≈ 0.209 rad

Compass bearing: NNE (north-northeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹
Egyptian hieroglyphic: 𓁨𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺
Chinese: 一百萬四千七百七十二
Chinese (financial): 壹佰萬肆仟柒佰柒拾貳

In other modern scripts

Eastern Arabic ١٠٠٤٧٧٢ Devanagari १००४७७२ Bengali ১০০৪৭৭২ Tamil ௧௦௦௪௭௭௨ Thai ๑๐๐๔๗๗๒ Tibetan ༡༠༠༤༧༧༢ Khmer ១០០៤៧៧២ Lao ໑໐໐໔໗໗໒ Burmese ၁၀၀၄၇၇၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1004772, here are decompositions:

11 + 1004761 = 1004772
23 + 1004749 = 1004772
29 + 1004743 = 1004772
101 + 1004671 = 1004772
103 + 1004669 = 1004772
113 + 1004659 = 1004772
173 + 1004599 = 1004772
211 + 1004561 = 1004772

Showing the first eight; more decompositions exist.

Hex color

#0F54E4

RGB(15, 84, 228)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.84.228.

Address: 0.15.84.228
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.84.228

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 1,004,772 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 US1,004,772 on Google Patents ↗ Look up on USPTO ↗