Live analysis

1,004,388

1,004,388 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.).

1,004,388 (one million four thousand three hundred eighty-eight) is an even 7-digit number. It is a composite number with 48 divisors, and factors as 2² × 3 × 7 × 11 × 1,087. Its proper divisors sum to 1,920,156, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF5364.

Abundant Number Arithmetic Number Cube-Free Odious Number Pernicious Number Practical Number Semiperfect Number

Interestingness

★ ★ ☆ ☆ ☆

4 notable facts · grade D

1,004,376 1,004,377 1,004,378 1,004,379 1,004,380 1,004,381 1,004,382 1,004,383 1,004,384 1,004,385 1,004,386 1,004,387 1,004,388 1,004,389 1,004,390 1,004,391 1,004,392 1,004,393 1,004,394 1,004,395 1,004,396 1,004,397 1,004,398 1,004,399 1,004,400

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 24
Digit product: 0
Digital root: 6
Palindrome: No
Bit width: 20 bits
Reversed: 8,834,001
Square (n²): 1,008,795,254,544
Cube (n³): 1,013,221,848,120,939,072
Divisor count: 48
σ(n) — sum of divisors: 2,924,544
φ(n) — Euler's totient: 260,640
Sum of prime factors: 1,112

Primality

Prime factorization: 2 ² × 3 × 7 × 11 × 1087

Nearest primes: 1,004,371 (−17) · 1,004,401 (+13)

Divisors & multiples

All divisors (48)

1 · 2 · 3 · 4 · 6 · 7 · 11 · 12 · 14 · 21 · 22 · 28 · 33 · 42 · 44 · 66 · 77 · 84 · 132 · 154 · 231 · 308 · 462 · 924 · 1087 · 2174 · 3261 · 4348 · 6522 · 7609 · 11957 · 13044 · 15218 · 22827 · 23914 · 30436 · 35871 · 45654 · 47828 · 71742 · 83699 · 91308 · 143484 · 167398 · 251097 · 334796 · 502194 (half) · 1004388

Aliquot sum (sum of proper divisors): 1,920,156

Factor pairs (a × b = 1,004,388)

1 × 1004388

2 × 502194

3 × 334796

4 × 251097

6 × 167398

7 × 143484

11 × 91308

12 × 83699

14 × 71742

21 × 47828

22 × 45654

28 × 35871

33 × 30436

42 × 23914

44 × 22827

66 × 15218

77 × 13044

84 × 11957

132 × 7609

154 × 6522

231 × 4348

308 × 3261

462 × 2174

924 × 1087

First multiples

1,004,388 · 2,008,776 (double) · 3,013,164 · 4,017,552 · 5,021,940 · 6,026,328 · 7,030,716 · 8,035,104 · 9,039,492 · 10,043,880

Sums & aliquot sequence

As consecutive integers: 334,795 + 334,796 + 334,797 143,481 + 143,482 + … + 143,487 125,545 + 125,546 + … + 125,552 91,303 + 91,304 + … + 91,313

Aliquot sequence: 1,004,388 → 1,920,156 → 3,200,484 → 5,488,140 → 12,413,940 → 30,938,124 → 55,013,364 → 111,185,676 → 223,792,884 → 453,421,836 → 858,419,604 → 1,734,599,916 → 3,438,137,108 → 3,693,664,492 → 3,825,581,480 → 6,011,628,760 → 7,843,936,040 — unresolved within range

Continued fraction of √n

√1,004,388 = [1002; (5, 4, 1, 1, 3, 1, 1, 2, 11, 1, 1, 1, 1, 2, 1, 3, 15, 31, 3, 1, 20, 7, 1, 6, …)]

Period length 58 — the block in parentheses repeats forever.

Representations

In words: one million four thousand three hundred eighty-eight
Ordinal: 1004388th
Binary: 11110101001101100100
Octal: 3651544
Hexadecimal: 0xF5364
Base64: D1Nk
One's complement: 4,293,962,907 (32-bit)
Scientific notation: 1.004388 × 10⁶
As a duration: 1,004,388 s = 11 days, 14 hours, 59 minutes, 48 seconds

In other bases

ternary (3) 1220000202120

quaternary (4) 3311031210

quinary (5) 224120023

senary (6) 33305540

septenary (7) 11352150

nonary (9) 1800676

undecimal (11) 626680

duodecimal (12) 4052b0

tridecimal (13) 292218

tetradecimal (14) 1c2060

pentadecimal (15) 14c8e3

As an angle

1,004,388° = 2,789 × 360° + 348°

348° ≈ 6.074 rad

Compass bearing: NNW (north-northwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓁨𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Chinese: 一百萬四千三百八十八
Chinese (financial): 壹佰萬肆仟參佰捌拾捌

In other modern scripts

Eastern Arabic ١٠٠٤٣٨٨ Devanagari १००४३८८ Bengali ১০০৪৩৮৮ Tamil ௧௦௦௪௩௮௮ Thai ๑๐๐๔๓๘๘ Tibetan ༡༠༠༤༣༨༨ Khmer ១០០៤៣៨៨ Lao ໑໐໐໔໓໘໘ Burmese ၁၀၀၄၃၈၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1004388, here are decompositions:

17 + 1004371 = 1004388
71 + 1004317 = 1004388
101 + 1004287 = 1004388
109 + 1004279 = 1004388
167 + 1004221 = 1004388
179 + 1004209 = 1004388
227 + 1004161 = 1004388
251 + 1004137 = 1004388

Showing the first eight; more decompositions exist.

Hex color

#0F5364

RGB(15, 83, 100)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.83.100.

Address: 0.15.83.100
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.83.100

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 1,004,388 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 US1,004,388 on Google Patents ↗ Look up on USPTO ↗