Live analysis

1,002,088

1,002,088 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.).

1,002,088 (one million two thousand eighty-eight) is an even 7-digit number. It is a composite number with 8 divisors, and factors as 2³ × 125,261. Written other ways, in hexadecimal, 0xF4A68.

Deficient Number Evil Number Happy Number Refactorable Number

Interestingness

★ ☆ ☆ ☆ ☆

2 notable facts · grade F

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 1,002,093 1,002,094 1,002,095 1,002,096 1,002,097 1,002,098 1,002,099 1,002,100

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 19
Digit product: 0
Digital root: 1
Palindrome: No
Bit width: 20 bits
Reversed: 8,802,001
Square (n²): 1,004,180,359,744
Cube (n³): 1,006,277,088,335,145,472
Divisor count: 8
σ(n) — sum of divisors: 1,878,930
φ(n) — Euler's totient: 501,040
Sum of prime factors: 125,267

Primality

Prime factorization: 2 ³ × 125261

Nearest primes: 1,002,083 (−5) · 1,002,091 (+3)

Divisors & multiples

All divisors (8)

1 · 2 · 4 · 8 · 125261 · 250522 · 501044 (half) · 1002088

Aliquot sum (sum of proper divisors): 876,842

Factor pairs (a × b = 1,002,088)

1 × 1002088

2 × 501044

4 × 250522

8 × 125261

First multiples

1,002,088 · 2,004,176 (double) · 3,006,264 · 4,008,352 · 5,010,440 · 6,012,528 · 7,014,616 · 8,016,704 · 9,018,792 · 10,020,880

Sums & aliquot sequence

As a sum of two squares: 78² + 998²

As consecutive integers: 62,623 + 62,624 + … + 62,638

Aliquot sequence: 1,002,088 → 876,842 → 444,214 → 222,110 → 261,730 → 276,830 → 276,130 → 231,254 → 123,826 → 64,058 → 32,032 → 52,640 → 92,512 → 122,948 → 123,004 → 135,044 → 166,600 — unresolved within range

Continued fraction of √n

√1,002,088 = [1001; (23, 83, 2, 1, 1, 1, 8, 222, 2, 1, 22, 2, 1, 8, 1, 1, 2, 15, 8, 24, 1, 1, 2, 5, …)]

Representations

In words: one million two thousand eighty-eight
Ordinal: 1002088th
Binary: 11110100101001101000
Octal: 3645150
Hexadecimal: 0xF4A68
Base64: D0po
One's complement: 4,293,965,207 (32-bit)
Scientific notation: 1.002088 × 10⁶
As a duration: 1,002,088 s = 11 days, 14 hours, 21 minutes, 28 seconds

In other bases

ternary (3) 1212220121101

quaternary (4) 3310221220

quinary (5) 224031323

senary (6) 33251144

septenary (7) 11342353

nonary (9) 1786541

undecimal (11) 62497a

duodecimal (12) 403ab4

tridecimal (13) 291169

tetradecimal (14) 1c129a

pentadecimal (15) 14bdad

As an angle

1,002,088° = 2,783 × 360° + 208°

208° ≈ 3.63 rad

Compass bearing: SSW (south-southwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓁨𓆼𓆼𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Chinese: 一百萬二千零八十八
Chinese (financial): 壹佰萬貳仟零捌拾捌

In other modern scripts

Eastern Arabic ١٠٠٢٠٨٨ Devanagari १००२०८८ Bengali ১০০২০৮৮ Tamil ௧௦௦௨௦௮௮ Thai ๑๐๐๒๐๘๘ Tibetan ༡༠༠༢༠༨༨ Khmer ១០០២០៨៨ Lao ໑໐໐໒໐໘໘ Burmese ၁၀၀၂၀၈၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1002088, here are decompositions:

5 + 1002083 = 1002088
11 + 1002077 = 1002088
71 + 1002017 = 1002088
107 + 1001981 = 1002088
257 + 1001831 = 1002088
281 + 1001807 = 1002088
401 + 1001687 = 1002088
419 + 1001669 = 1002088

Showing the first eight; more decompositions exist.

Hex color

#0F4A68

RGB(15, 74, 104)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.74.104.

Address: 0.15.74.104
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.74.104

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 1,002,088 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 US1,002,088 on Google Patents ↗ Look up on USPTO ↗