Live analysis

1,001,682

1,001,682 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.).

1,001,682 (one million one thousand six hundred eighty-two) is an even 7-digit number. It is a composite number with 24 divisors, and factors as 2 × 3² × 11 × 5,059. Its proper divisors sum to 1,366,398, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF48D2.

Abundant Number Arithmetic Number Cube-Free Evil Number Harshad / Niven Semiperfect Number

Interestingness

★ ★ ☆ ☆ ☆

4 notable facts · grade D

1,001,670 1,001,671 1,001,672 1,001,673 1,001,674 1,001,675 1,001,676 1,001,677 1,001,678 1,001,679 1,001,680 1,001,681 1,001,682 1,001,683 1,001,684 1,001,685 1,001,686 1,001,687 1,001,688 1,001,689 1,001,690 1,001,691 1,001,692 1,001,693 1,001,694

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 18
Digit product: 0
Digital root: 9
Palindrome: No
Bit width: 20 bits
Reversed: 2,861,001
Square (n²): 1,003,366,829,124
Cube (n³): 1,005,054,492,130,586,568
Divisor count: 24
σ(n) — sum of divisors: 2,368,080
φ(n) — Euler's totient: 303,480
Sum of prime factors: 5,078

Primality

Prime factorization: 2 × 3 ² × 11 × 5059

Nearest primes: 1,001,669 (−13) · 1,001,683 (+1)

Divisors & multiples

All divisors (24)

1 · 2 · 3 · 6 · 9 · 11 · 18 · 22 · 33 · 66 · 99 · 198 · 5059 · 10118 · 15177 · 30354 · 45531 · 55649 · 91062 · 111298 · 166947 · 333894 · 500841 (half) · 1001682

Aliquot sum (sum of proper divisors): 1,366,398

Factor pairs (a × b = 1,001,682)

1 × 1001682

2 × 500841

3 × 333894

6 × 166947

9 × 111298

11 × 91062

18 × 55649

22 × 45531

33 × 30354

66 × 15177

99 × 10118

198 × 5059

First multiples

1,001,682 · 2,003,364 (double) · 3,005,046 · 4,006,728 · 5,008,410 · 6,010,092 · 7,011,774 · 8,013,456 · 9,015,138 · 10,016,820

Sums & aliquot sequence

As consecutive integers: 333,893 + 333,894 + 333,895 250,419 + 250,420 + 250,421 + 250,422 111,294 + 111,295 + … + 111,302 91,057 + 91,058 + … + 91,067

Aliquot sequence: 1,001,682 → 1,366,398 → 1,943,298 → 3,137,022 → 5,057,538 → 5,057,550 → 8,531,610 → 11,944,326 → 12,570,234 → 12,726,438 → 14,223,882 → 14,223,894 → 15,721,386 → 15,721,398 → 30,358,602 → 38,157,846 → 38,219,754 — unresolved within range

Continued fraction of √n

√1,001,682 = [1000; (1, 5, 3, 1, 1, 1, 2, 2, 1000, 2, 2, 1, 1, 1, 3, 5, 1, 2000)]

Period length 18 — the block in parentheses repeats forever.

Representations

In words: one million one thousand six hundred eighty-two
Ordinal: 1001682nd
Binary: 11110100100011010010
Octal: 3644322
Hexadecimal: 0xF48D2
Base64: D0jS
One's complement: 4,293,965,613 (32-bit)
Scientific notation: 1.001682 × 10⁶
As a duration: 1,001,682 s = 11 days, 14 hours, 14 minutes, 42 seconds

In other bases

ternary (3) 1212220001100

quaternary (4) 3310203102

quinary (5) 224023212

senary (6) 33245230

septenary (7) 11341233

nonary (9) 1786040

undecimal (11) 624640

duodecimal (12) 403816

tridecimal (13) 290c16

tetradecimal (14) 1c108a

pentadecimal (15) 14bbdc

As an angle

1,001,682° = 2,782 × 360° + 162°

162° ≈ 2.827 rad

Compass bearing: SSE (south-southeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic: 𓁨𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺
Chinese: 一百萬一千六百八十二
Chinese (financial): 壹佰萬壹仟陸佰捌拾貳

In other modern scripts

Eastern Arabic ١٠٠١٦٨٢ Devanagari १००१६८२ Bengali ১০০১৬৮২ Tamil ௧௦௦௧௬௮௨ Thai ๑๐๐๑๖๘๒ Tibetan ༡༠༠༡༦༨༢ Khmer ១០០១៦៨២ Lao ໑໐໐໑໖໘໒ Burmese ၁၀၀၁၆၈၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1001682, here are decompositions:

13 + 1001669 = 1001682
23 + 1001659 = 1001682
43 + 1001639 = 1001682
53 + 1001629 = 1001682
61 + 1001621 = 1001682
89 + 1001593 = 1001682
113 + 1001569 = 1001682
131 + 1001551 = 1001682

Showing the first eight; more decompositions exist.

Hex color

#0F48D2

RGB(15, 72, 210)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.72.210.

Address: 0.15.72.210
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.72.210

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 1,001,682 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 US1,001,682 on Google Patents ↗ Look up on USPTO ↗