Live analysis

1,004,688

1,004,688 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.).

1,004,688 (one million four thousand six hundred eighty-eight) is an even 7-digit number. It is a composite number with 30 divisors, and factors as 2⁴ × 3² × 6,977. Its proper divisors sum to 1,807,446, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF5490.

Abundant Number Gapful Number Odious Number Semiperfect Number

Interestingness

★ ☆ ☆ ☆ ☆

2 notable facts · grade F

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 1,004,693 1,004,694 1,004,695 1,004,696 1,004,697 1,004,698 1,004,699 1,004,700

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 27
Digit product: 0
Digital root: 9
Palindrome: No
Bit width: 20 bits
Reversed: 8,864,001
Square (n²): 1,009,397,977,344
Cube (n³): 1,014,130,035,061,788,672
Divisor count: 30
σ(n) — sum of divisors: 2,812,134
φ(n) — Euler's totient: 334,848
Sum of prime factors: 6,991

Primality

Prime factorization: 2 ⁴ × 3 ² × 6977

Nearest primes: 1,004,687 (−1) · 1,004,723 (+35)

Divisors & multiples

All divisors (30)

1 · 2 · 3 · 4 · 6 · 8 · 9 · 12 · 16 · 18 · 24 · 36 · 48 · 72 · 144 · 6977 · 13954 · 20931 · 27908 · 41862 · 55816 · 62793 · 83724 · 111632 · 125586 · 167448 · 251172 · 334896 · 502344 (half) · 1004688

Aliquot sum (sum of proper divisors): 1,807,446

Factor pairs (a × b = 1,004,688)

1 × 1004688

2 × 502344

3 × 334896

4 × 251172

6 × 167448

8 × 125586

9 × 111632

12 × 83724

16 × 62793

18 × 55816

24 × 41862

36 × 27908

48 × 20931

72 × 13954

144 × 6977

First multiples

1,004,688 · 2,009,376 (double) · 3,014,064 · 4,018,752 · 5,023,440 · 6,028,128 · 7,032,816 · 8,037,504 · 9,042,192 · 10,046,880

Sums & aliquot sequence

As a sum of two squares: 528² + 852²

As consecutive integers: 334,895 + 334,896 + 334,897 111,628 + 111,629 + … + 111,636 31,381 + 31,382 + … + 31,412 10,418 + 10,419 + … + 10,513

Aliquot sequence: 1,004,688 → 1,807,446 → 1,807,458 → 1,807,470 → 3,883,410 → 7,031,790 → 12,736,530 → 21,094,254 → 26,355,330 → 42,168,762 → 52,581,894 → 52,581,906 → 73,256,814 → 89,028,738 → 103,866,900 → 196,655,532 → 265,512,468 — unresolved within range

Continued fraction of √n

√1,004,688 = [1002; (2, 1, 13, 2, 1, 5, 3, 1, 1, 1, 5, 1, 4, 4, 1, 2, 3, 1, 1, 3, 1, 2, 1, 1, …)]

Representations

In words: one million four thousand six hundred eighty-eight
Ordinal: 1004688th
Binary: 11110101010010010000
Octal: 3652220
Hexadecimal: 0xF5490
Base64: D1SQ
One's complement: 4,293,962,607 (32-bit)
Scientific notation: 1.004688 × 10⁶
As a duration: 1,004,688 s = 11 days, 15 hours, 4 minutes, 48 seconds

In other bases

ternary (3) 1220001011200

quaternary (4) 3311102100

quinary (5) 224122223

senary (6) 33311200

septenary (7) 11353056

nonary (9) 1801150

undecimal (11) 626923

duodecimal (12) 405500

tridecimal (13) 2923b9

tetradecimal (14) 1c21d6

pentadecimal (15) 14ca43

As an angle

1,004,688° = 2,790 × 360° + 288°

288° ≈ 5.027 rad

Compass bearing: WNW (west-northwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓁨𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Chinese: 一百萬四千六百八十八
Chinese (financial): 壹佰萬肆仟陸佰捌拾捌

In other modern scripts

Eastern Arabic ١٠٠٤٦٨٨ Devanagari १००४६८८ Bengali ১০০৪৬৮৮ Tamil ௧௦௦௪௬௮௮ Thai ๑๐๐๔๖๘๘ Tibetan ༡༠༠༤༦༨༨ Khmer ១០០៤៦៨៨ Lao ໑໐໐໔໖໘໘ Burmese ၁၀၀၄၆၈၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1004688, here are decompositions:

11 + 1004677 = 1004688
17 + 1004671 = 1004688
19 + 1004669 = 1004688
29 + 1004659 = 1004688
31 + 1004657 = 1004688
37 + 1004651 = 1004688
89 + 1004599 = 1004688
127 + 1004561 = 1004688

Showing the first eight; more decompositions exist.

Hex color

#0F5490

RGB(15, 84, 144)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.84.144.

Address: 0.15.84.144
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.84.144

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 1,004,688 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 US1,004,688 on Google Patents ↗ Look up on USPTO ↗