Live analysis

1,004,088

1,004,088 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.).

1,004,088 (one million four thousand eighty-eight) is an even 7-digit number. It is a composite number with 64 divisors, and factors as 2³ × 3 × 17 × 23 × 107. Its proper divisors sum to 1,795,272, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF5238.

Abundant Number Arithmetic Number Evil Number Practical Number Semiperfect Number

Interestingness

★ ☆ ☆ ☆ ☆

3 notable facts · grade F

1,004,076 1,004,077 1,004,078 1,004,079 1,004,080 1,004,081 1,004,082 1,004,083 1,004,084 1,004,085 1,004,086 1,004,087 1,004,088 1,004,089 1,004,090 1,004,091 1,004,092 1,004,093 1,004,094 1,004,095 1,004,096 1,004,097 1,004,098 1,004,099 1,004,100

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 21
Digit product: 0
Digital root: 3
Palindrome: No
Bit width: 20 bits
Reversed: 8,804,001
Square (n²): 1,008,192,711,744
Cube (n³): 1,012,314,203,549,609,472
Divisor count: 64
σ(n) — sum of divisors: 2,799,360
φ(n) — Euler's totient: 298,496
Sum of prime factors: 156

Primality

Prime factorization: 2 ³ × 3 × 17 × 23 × 107

Nearest primes: 1,004,077 (−11) · 1,004,089 (+1)

Divisors & multiples

All divisors (64)

1 · 2 · 3 · 4 · 6 · 8 · 12 · 17 · 23 · 24 · 34 · 46 · 51 · 68 · 69 · 92 · 102 · 107 · 136 · 138 · 184 · 204 · 214 · 276 · 321 · 391 · 408 · 428 · 552 · 642 · 782 · 856 · 1173 · 1284 · 1564 · 1819 · 2346 · 2461 · 2568 · 3128 · 3638 · 4692 · 4922 · 5457 · 7276 · 7383 · 9384 · 9844 · 10914 · 14552 · 14766 · 19688 · 21828 · 29532 · 41837 · 43656 · 59064 · 83674 · 125511 · 167348 · 251022 · 334696 · 502044 (half) · 1004088

Aliquot sum (sum of proper divisors): 1,795,272

Factor pairs (a × b = 1,004,088)

1 × 1004088

2 × 502044

3 × 334696

4 × 251022

6 × 167348

8 × 125511

12 × 83674

17 × 59064

23 × 43656

24 × 41837

34 × 29532

46 × 21828

51 × 19688

68 × 14766

69 × 14552

92 × 10914

102 × 9844

107 × 9384

136 × 7383

138 × 7276

184 × 5457

204 × 4922

214 × 4692

276 × 3638

321 × 3128

391 × 2568

408 × 2461

428 × 2346

552 × 1819

642 × 1564

782 × 1284

856 × 1173

First multiples

1,004,088 · 2,008,176 (double) · 3,012,264 · 4,016,352 · 5,020,440 · 6,024,528 · 7,028,616 · 8,032,704 · 9,036,792 · 10,040,880

Sums & aliquot sequence

As consecutive integers: 334,695 + 334,696 + 334,697 62,748 + 62,749 + … + 62,763 59,056 + 59,057 + … + 59,072 43,645 + 43,646 + … + 43,667

Aliquot sequence: 1,004,088 → 1,795,272 → 3,119,928 → 6,000,072 → 10,154,808 → 18,289,872 → 33,286,068 → 56,679,444 → 87,871,872 → 171,224,448 → 287,302,272 → 475,845,408 → 931,766,112 → 1,803,593,088 → 4,382,502,912 → 8,944,909,368 → 13,417,364,112 — keeps growing

Continued fraction of √n

√1,004,088 = [1002; (23, 1, 6, 40, 1, 3, 10, 4, 6, 1, 2, 1, 4, 1, 5, 3, 3, 3, 5, 1, 4, 1, 2, 1, …)]

Period length 34 — the block in parentheses repeats forever.

Representations

In words: one million four thousand eighty-eight
Ordinal: 1004088th
Binary: 11110101001000111000
Octal: 3651070
Hexadecimal: 0xF5238
Base64: D1I4
One's complement: 4,293,963,207 (32-bit)
Scientific notation: 1.004088 × 10⁶
As a duration: 1,004,088 s = 11 days, 14 hours, 54 minutes, 48 seconds

In other bases

ternary (3) 1220000100110

quaternary (4) 3311020320

quinary (5) 224112323

senary (6) 33304320

septenary (7) 11351241

nonary (9) 1800313

undecimal (11) 626428

duodecimal (12) 4050a0

tridecimal (13) 292047

tetradecimal (14) 1c1cc8

pentadecimal (15) 14c793

As an angle

1,004,088° = 2,789 × 360° + 48°

48° ≈ 0.838 rad

Compass bearing: NE (northeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓁨𓆼𓆼𓆼𓆼𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Chinese: 一百萬四千零八十八
Chinese (financial): 壹佰萬肆仟零捌拾捌

In other modern scripts

Eastern Arabic ١٠٠٤٠٨٨ Devanagari १००४०८८ Bengali ১০০৪০৮৮ Tamil ௧௦௦௪௦௮௮ Thai ๑๐๐๔๐๘๘ Tibetan ༡༠༠༤༠༨༨ Khmer ១០០៤០៨៨ Lao ໑໐໐໔໐໘໘ Burmese ၁၀၀၄၀၈၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1004088, here are decompositions:

11 + 1004077 = 1004088
31 + 1004057 = 1004088
61 + 1004027 = 1004088
131 + 1003957 = 1004088
157 + 1003931 = 1004088
179 + 1003909 = 1004088
181 + 1003907 = 1004088
191 + 1003897 = 1004088

Showing the first eight; more decompositions exist.

Hex color

#0F5238

RGB(15, 82, 56)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.82.56.

Address: 0.15.82.56
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.82.56

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 1,004,088 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 US1,004,088 on Google Patents ↗ Look up on USPTO ↗