Live analysis

1,042,404

1,042,404 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.).

1,042,404 (one million forty-two thousand four hundred four) is an even 7-digit number. It is a composite number with 48 divisors, and factors as 2² × 3 × 11 × 53 × 149. Its proper divisors sum to 1,679,196, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xFE7E4.

Abundant Number Arithmetic Number Cube-Free Evil Number Practical Number Semiperfect Number

Interestingness

★ ★ ☆ ☆ ☆

4 notable facts · grade D

1,042,392 1,042,393 1,042,394 1,042,395 1,042,396 1,042,397 1,042,398 1,042,399 1,042,400 1,042,401 1,042,402 1,042,403 1,042,404 1,042,405 1,042,406 1,042,407 1,042,408 1,042,409 1,042,410 1,042,411 1,042,412 1,042,413 1,042,414 1,042,415 1,042,416

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 15
Digit product: 0
Digital root: 6
Palindrome: No
Bit width: 20 bits
Reversed: 4,042,401
Square (n²): 1,086,606,099,216
Cube (n³): 1,132,682,544,247,155,264
Divisor count: 48
σ(n) — sum of divisors: 2,721,600
φ(n) — Euler's totient: 307,840
Sum of prime factors: 220

Primality

Prime factorization: 2 ² × 3 × 11 × 53 × 149

Nearest primes: 1,042,399 (−5) · 1,042,427 (+23)

Divisors & multiples

All divisors (48)

1 · 2 · 3 · 4 · 6 · 11 · 12 · 22 · 33 · 44 · 53 · 66 · 106 · 132 · 149 · 159 · 212 · 298 · 318 · 447 · 583 · 596 · 636 · 894 · 1166 · 1639 · 1749 · 1788 · 2332 · 3278 · 3498 · 4917 · 6556 · 6996 · 7897 · 9834 · 15794 · 19668 · 23691 · 31588 · 47382 · 86867 · 94764 · 173734 · 260601 · 347468 · 521202 (half) · 1042404

Aliquot sum (sum of proper divisors): 1,679,196

Factor pairs (a × b = 1,042,404)

1 × 1042404

2 × 521202

3 × 347468

4 × 260601

6 × 173734

11 × 94764

12 × 86867

22 × 47382

33 × 31588

44 × 23691

53 × 19668

66 × 15794

106 × 9834

132 × 7897

149 × 6996

159 × 6556

212 × 4917

298 × 3498

318 × 3278

447 × 2332

583 × 1788

596 × 1749

636 × 1639

894 × 1166

First multiples

1,042,404 · 2,084,808 (double) · 3,127,212 · 4,169,616 · 5,212,020 · 6,254,424 · 7,296,828 · 8,339,232 · 9,381,636 · 10,424,040

Sums & aliquot sequence

As consecutive integers: 347,467 + 347,468 + 347,469 130,297 + 130,298 + … + 130,304 94,759 + 94,760 + … + 94,769 43,422 + 43,423 + … + 43,445

Aliquot sequence: 1,042,404 → 1,679,196 → 2,335,668 → 3,154,572 → 5,024,228 → 4,682,812 → 3,567,444 → 4,794,924 → 6,393,260 → 7,090,756 → 5,373,864 → 9,679,746 → 9,716,478 → 10,241,922 → 11,447,070 → 16,025,970 → 22,436,430 — unresolved within range

Continued fraction of √n

√1,042,404 = [1020; (1, 54, 5, 3, 2, 1, 16, 1, 9, 1, 1, 8, 2, 1, 1, 5, 16, 2, 2, 1, 2, 1, 2, 2, …)]

Period length 42 — the block in parentheses repeats forever.

Representations

In words: one million forty-two thousand four hundred four
Ordinal: 1042404th
Binary: 11111110011111100100
Octal: 3763744
Hexadecimal: 0xFE7E4
Base64: D+fk
One's complement: 4,293,924,891 (32-bit)
Scientific notation: 1.042404 × 10⁶
As a duration: 1,042,404 s = 12 days, 1 hour, 33 minutes, 24 seconds

In other bases

ternary (3) 1221221220120

quaternary (4) 3332133210

quinary (5) 231324104

senary (6) 34201540

septenary (7) 11601036

nonary (9) 1857816

undecimal (11) 6521a0

duodecimal (12) 4232b0

tridecimal (13) 2a660c

tetradecimal (14) 1d1c56

pentadecimal (15) 158cd9

As an angle

1,042,404° = 2,895 × 360° + 204°

204° ≈ 3.56 rad

Compass bearing: SSW (south-southwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓁨𓂍𓂍𓂍𓂍𓆼𓆼𓍢𓍢𓍢𓍢𓏺𓏺𓏺𓏺
Chinese: 一百零四萬二千四百零四
Chinese (financial): 壹佰零肆萬貳仟肆佰零肆

In other modern scripts

Eastern Arabic ١٠٤٢٤٠٤ Devanagari १०४२४०४ Bengali ১০৪২৪০৪ Tamil ௧௦௪௨௪௦௪ Thai ๑๐๔๒๔๐๔ Tibetan ༡༠༤༢༤༠༤ Khmer ១០៤២៤០៤ Lao ໑໐໔໒໔໐໔ Burmese ၁၀၄၂၄၀၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1042404, here are decompositions:

5 + 1042399 = 1042404
23 + 1042381 = 1042404
31 + 1042373 = 1042404
47 + 1042357 = 1042404
71 + 1042333 = 1042404
73 + 1042331 = 1042404
131 + 1042273 = 1042404
137 + 1042267 = 1042404

Showing the first eight; more decompositions exist.

Hex color

#0FE7E4

RGB(15, 231, 228)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.231.228.

Address: 0.15.231.228
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.231.228

Unspecified address (0.0.0.0/8) — "this network" placeholder.

Possible date

Could be parsed as a date. Most likely interpretation: Sunday, January 4, 2404 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)

2404-04-01 (DMMYYYY (Euro, single-digit day))
2404-10-04 (MMDYYYY (US, single-digit day))
2404-04-10 (DDMYYYY (Euro, single-digit month))

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 1,042,404 and was likely granted around 1912.

Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.

Look up US1,042,404 on Google Patents ↗ Look up on USPTO ↗