Live analysis

1,004,680

1,004,680 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.).

1,004,680 (one million four thousand six hundred eighty) is an even 7-digit number. It is a composite number with 16 divisors, and factors as 2³ × 5 × 25,117. Its proper divisors sum to 1,255,940, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF5488.

Abundant Number Gapful Number Odious Number Semiperfect Number

Interestingness

★ ☆ ☆ ☆ ☆

2 notable facts · grade F

1,004,668 1,004,669 1,004,670 1,004,671 1,004,672 1,004,673 1,004,674 1,004,675 1,004,676 1,004,677 1,004,678 1,004,679 1,004,680 1,004,681 1,004,682 1,004,683 1,004,684 1,004,685 1,004,686 1,004,687 1,004,688 1,004,689 1,004,690 1,004,691 1,004,692

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 19
Digit product: 0
Digital root: 1
Palindrome: No
Bit width: 20 bits
Reversed: 864,001
Square (n²): 1,009,381,902,400
Cube (n³): 1,014,105,809,703,232,000
Divisor count: 16
σ(n) — sum of divisors: 2,260,620
φ(n) — Euler's totient: 401,856
Sum of prime factors: 25,128

Primality

Prime factorization: 2 ³ × 5 × 25117

Nearest primes: 1,004,677 (−3) · 1,004,687 (+7)

Divisors & multiples

All divisors (16)

1 · 2 · 4 · 5 · 8 · 10 · 20 · 40 · 25117 · 50234 · 100468 · 125585 · 200936 · 251170 · 502340 (half) · 1004680

Aliquot sum (sum of proper divisors): 1,255,940

Factor pairs (a × b = 1,004,680)

1 × 1004680

2 × 502340

4 × 251170

5 × 200936

8 × 125585

10 × 100468

20 × 50234

40 × 25117

First multiples

1,004,680 · 2,009,360 (double) · 3,014,040 · 4,018,720 · 5,023,400 · 6,028,080 · 7,032,760 · 8,037,440 · 9,042,120 · 10,046,800

Sums & aliquot sequence

As a sum of two squares: 26² + 1,002² = 622² + 786²

As consecutive integers: 200,934 + 200,935 + 200,936 + 200,937 + 200,938 62,785 + 62,786 + … + 62,800 12,519 + 12,520 + … + 12,598

Aliquot sequence: 1,004,680 → 1,255,940 → 1,758,652 → 1,797,572 → 1,883,644 → 1,883,700 → 5,699,148 → 11,686,836 → 19,561,836 → 32,934,804 → 58,715,244 → 119,848,596 → 200,601,324 → 431,605,524 → 768,535,404 → 1,534,542,996 → 2,630,646,732 — unresolved within range

Continued fraction of √n

√1,004,680 = [1002; (2, 1, 27, 1, 1, 3, 5, 1, 9, 4, 3, 2, 1, 1, 6, 1, 1, 2, 10, 9, 1, 7, 6, 1, …)]

Representations

In words: one million four thousand six hundred eighty
Ordinal: 1004680th
Binary: 11110101010010001000
Octal: 3652210
Hexadecimal: 0xF5488
Base64: D1SI
One's complement: 4,293,962,615 (32-bit)
Scientific notation: 1.00468 × 10⁶
As a duration: 1,004,680 s = 11 days, 15 hours, 4 minutes, 40 seconds

In other bases

ternary (3) 1220001011101

quaternary (4) 3311102020

quinary (5) 224122210

senary (6) 33311144

septenary (7) 11353045

nonary (9) 1801141

undecimal (11) 626916

duodecimal (12) 4054b4

tridecimal (13) 2923b1

tetradecimal (14) 1c21cc

pentadecimal (15) 14ca3a

As an angle

1,004,680° = 2,790 × 360° + 280°

280° ≈ 4.887 rad

Compass bearing: W (west)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋
Egyptian hieroglyphic: 𓁨𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆
Chinese: 一百萬四千六百八十
Chinese (financial): 壹佰萬肆仟陸佰捌拾

In other modern scripts

Eastern Arabic ١٠٠٤٦٨٠ Devanagari १००४६८० Bengali ১০০৪৬৮০ Tamil ௧௦௦௪௬௮௦ Thai ๑๐๐๔๖๘๐ Tibetan ༡༠༠༤༦༨༠ Khmer ១០០៤៦៨០ Lao ໑໐໐໔໖໘໐ Burmese ၁၀၀၄၆၈၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1004680, here are decompositions:

3 + 1004677 = 1004680
11 + 1004669 = 1004680
23 + 1004657 = 1004680
29 + 1004651 = 1004680
113 + 1004567 = 1004680
179 + 1004501 = 1004680
197 + 1004483 = 1004680
227 + 1004453 = 1004680

Showing the first eight; more decompositions exist.

Hex color

#0F5488

RGB(15, 84, 136)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.84.136.

Address: 0.15.84.136
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.84.136

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 1,004,680 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 US1,004,680 on Google Patents ↗ Look up on USPTO ↗

Position in π

The digit sequence 1004680 first appears in π at position 837,662 of the decimal expansion (the 837,662ordinal-suffix:nd digit after the integer 3).

Search range: the first 1,000,000 fractional digits of π. Any 6-digit-or-shorter string is virtually guaranteed to appear in there — the more interesting signal is the position.

Look up 1004680 on Pi Search ↗