Live analysis

1,002,080

1,002,080 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.).

1,002,080 (one million two thousand eighty) is an even 7-digit number. It is a composite number with 24 divisors, and factors as 2⁵ × 5 × 6,263. Its proper divisors sum to 1,365,712, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF4A60.

Abundant Number Arithmetic Number Gapful Number Odious Number Semiperfect Number

Interestingness

★ ☆ ☆ ☆ ☆

3 notable facts · grade F

1,002,068 1,002,069 1,002,070 1,002,071 1,002,072 1,002,073 1,002,074 1,002,075 1,002,076 1,002,077 1,002,078 1,002,079 1,002,080 1,002,081 1,002,082 1,002,083 1,002,084 1,002,085 1,002,086 1,002,087 1,002,088 1,002,089 1,002,090 1,002,091 1,002,092

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 11
Digit product: 0
Digital root: 2
Palindrome: No
Bit width: 20 bits
Reversed: 802,001
Square (n²): 1,004,164,326,400
Cube (n³): 1,006,252,988,198,912,000
Divisor count: 24
σ(n) — sum of divisors: 2,367,792
φ(n) — Euler's totient: 400,768
Sum of prime factors: 6,278

Primality

Prime factorization: 2 ⁵ × 5 × 6263

Nearest primes: 1,002,077 (−3) · 1,002,083 (+3)

Divisors & multiples

All divisors (24)

1 · 2 · 4 · 5 · 8 · 10 · 16 · 20 · 32 · 40 · 80 · 160 · 6263 · 12526 · 25052 · 31315 · 50104 · 62630 · 100208 · 125260 · 200416 · 250520 · 501040 (half) · 1002080

Aliquot sum (sum of proper divisors): 1,365,712

Factor pairs (a × b = 1,002,080)

1 × 1002080

2 × 501040

4 × 250520

5 × 200416

8 × 125260

10 × 100208

16 × 62630

20 × 50104

32 × 31315

40 × 25052

80 × 12526

160 × 6263

First multiples

1,002,080 · 2,004,160 (double) · 3,006,240 · 4,008,320 · 5,010,400 · 6,012,480 · 7,014,560 · 8,016,640 · 9,018,720 · 10,020,800

Sums & aliquot sequence

As consecutive integers: 200,414 + 200,415 + 200,416 + 200,417 + 200,418 15,626 + 15,627 + … + 15,689 2,972 + 2,973 + … + 3,291

Aliquot sequence: 1,002,080 → 1,365,712 → 1,436,564 → 1,108,300 → 1,296,928 → 1,256,462 → 628,234 → 314,120 → 392,740 → 446,420 → 633,148 → 540,164 → 417,100 → 518,604 → 744,756 → 1,027,308 → 1,412,052 — unresolved within range

Continued fraction of √n

√1,002,080 = [1001; (25, 2, 1, 11, 1, 3, 4, 6, 1, 8, 13, 6, 1, 5, 1, 2, 1, 1, 1, 48, 5, 10, 64, 2, …)]

Representations

In words: one million two thousand eighty
Ordinal: 1002080th
Binary: 11110100101001100000
Octal: 3645140
Hexadecimal: 0xF4A60
Base64: D0pg
One's complement: 4,293,965,215 (32-bit)
Scientific notation: 1.00208 × 10⁶
As a duration: 1,002,080 s = 11 days, 14 hours, 21 minutes, 20 seconds

In other bases

ternary (3) 1212220121002

quaternary (4) 3310221200

quinary (5) 224031310

senary (6) 33251132

septenary (7) 11342342

nonary (9) 1786532

undecimal (11) 624972

duodecimal (12) 403aa8

tridecimal (13) 291161

tetradecimal (14) 1c1292

pentadecimal (15) 14bda5

As an angle

1,002,080° = 2,783 × 360° + 200°

200° ≈ 3.491 rad

Compass bearing: SSW (south-southwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹 𒌋𒌋
Egyptian hieroglyphic: 𓁨𓆼𓆼𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆
Chinese: 一百萬二千零八十
Chinese (financial): 壹佰萬貳仟零捌拾

In other modern scripts

Eastern Arabic ١٠٠٢٠٨٠ Devanagari १००२०८० Bengali ১০০২০৮০ Tamil ௧௦௦௨௦௮௦ Thai ๑๐๐๒๐๘๐ Tibetan ༡༠༠༢༠༨༠ Khmer ១០០២០៨០ Lao ໑໐໐໒໐໘໐ Burmese ၁၀၀၂၀၈၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1002080, here are decompositions:

3 + 1002077 = 1002080
7 + 1002073 = 1002080
19 + 1002061 = 1002080
31 + 1002049 = 1002080
97 + 1001983 = 1002080
103 + 1001977 = 1002080
127 + 1001953 = 1002080
139 + 1001941 = 1002080

Showing the first eight; more decompositions exist.

Hex color

#0F4A60

RGB(15, 74, 96)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.74.96.

Address: 0.15.74.96
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.74.96

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 1,002,080 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 US1,002,080 on Google Patents ↗ Look up on USPTO ↗