Live analysis

1,013,404

1,013,404 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.).

1,013,404 (one million thirteen thousand four hundred four) is an even 7-digit number. It is a composite number with 24 divisors, and factors as 2² × 7 × 17 × 2,129. Its proper divisors sum to 1,133,636, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF769C.

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

Interestingness

★ ★ ☆ ☆ ☆

4 notable facts · grade D

1,013,392 1,013,393 1,013,394 1,013,395 1,013,396 1,013,397 1,013,398 1,013,399 1,013,400 1,013,401 1,013,402 1,013,403 1,013,404 1,013,405 1,013,406 1,013,407 1,013,408 1,013,409 1,013,410 1,013,411 1,013,412 1,013,413 1,013,414 1,013,415 1,013,416

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 13
Digit product: 0
Digital root: 4
Palindrome: No
Bit width: 20 bits
Reversed: 4,043,101
Square (n²): 1,026,987,667,216
Cube (n³): 1,040,753,409,907,363,264
Divisor count: 24
σ(n) — sum of divisors: 2,147,040
φ(n) — Euler's totient: 408,576
Sum of prime factors: 2,157

Primality

Prime factorization: 2 ² × 7 × 17 × 2129

Nearest primes: 1,013,401 (−3) · 1,013,429 (+25)

Divisors & multiples

All divisors (24)

1 · 2 · 4 · 7 · 14 · 17 · 28 · 34 · 68 · 119 · 238 · 476 · 2129 · 4258 · 8516 · 14903 · 29806 · 36193 · 59612 · 72386 · 144772 · 253351 · 506702 (half) · 1013404

Aliquot sum (sum of proper divisors): 1,133,636

Factor pairs (a × b = 1,013,404)

1 × 1013404

2 × 506702

4 × 253351

7 × 144772

14 × 72386

17 × 59612

28 × 36193

34 × 29806

68 × 14903

119 × 8516

238 × 4258

476 × 2129

First multiples

1,013,404 · 2,026,808 (double) · 3,040,212 · 4,053,616 · 5,067,020 · 6,080,424 · 7,093,828 · 8,107,232 · 9,120,636 · 10,134,040

Sums & aliquot sequence

As consecutive integers: 144,769 + 144,770 + … + 144,775 126,672 + 126,673 + … + 126,679 59,604 + 59,605 + … + 59,620 18,069 + 18,070 + … + 18,124

Aliquot sequence: 1,013,404 → 1,133,636 → 1,133,692 → 1,254,148 → 1,310,204 → 1,350,244 → 1,431,983 → 257,617 → 3,603 → 1,205 → 247 → 33 → 15 → 9 → 4 → 3 → 1 — unresolved within range

Continued fraction of √n

√1,013,404 = [1006; (1, 2, 8, 5, 17, 1, 16, 1, 1, 3, 1, 1, 56, 1, 25, 1, 1, 27, 2, 4, 1, 11, 1, 2, …)]

Representations

In words: one million thirteen thousand four hundred four
Ordinal: 1013404th
Binary: 11110111011010011100
Octal: 3673234
Hexadecimal: 0xF769C
Base64: D3ac
One's complement: 4,293,953,891 (32-bit)
Scientific notation: 1.013404 × 10⁶
As a duration: 1,013,404 s = 11 days, 17 hours, 30 minutes, 4 seconds

In other bases

ternary (3) 1220111010111

quaternary (4) 3313122130

quinary (5) 224412104

senary (6) 33415404

septenary (7) 11420350

nonary (9) 1814114

undecimal (11) 632427

duodecimal (12) 40a564

tridecimal (13) 296362

tetradecimal (14) 1c5460

pentadecimal (15) 150404

As an angle

1,013,404° = 2,815 × 360° + 4°

4° ≈ 0.07 rad

Compass bearing: N (north)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹 𒌋𒌋𒌋 𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓁨𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓏺𓏺𓏺𓏺
Chinese: 一百零一萬三千四百零四
Chinese (financial): 壹佰零壹萬參仟肆佰零肆

In other modern scripts

Eastern Arabic ١٠١٣٤٠٤ Devanagari १०१३४०४ Bengali ১০১৩৪০৪ Tamil ௧௦௧௩௪௦௪ Thai ๑๐๑๓๔๐๔ Tibetan ༡༠༡༣༤༠༤ Khmer ១០១៣៤០៤ Lao ໑໐໑໓໔໐໔ Burmese ၁၀၁၃၄၀၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1013404, here are decompositions:

3 + 1013401 = 1013404
5 + 1013399 = 1013404
83 + 1013321 = 1013404
113 + 1013291 = 1013404
137 + 1013267 = 1013404
167 + 1013237 = 1013404
251 + 1013153 = 1013404
401 + 1013003 = 1013404

Showing the first eight; more decompositions exist.

Hex color

#0F769C

RGB(15, 118, 156)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.118.156.

Address: 0.15.118.156
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.118.156

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

Possible date

Could be parsed as a date. Most likely interpretation: Sunday, January 1, 3404 (MDDYYYY (US, single-digit month)).

Other possible interpretations (2)

3404-10-01 (MMDYYYY (US, single-digit day))
3404-01-10 (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 1,013,404 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 US1,013,404 on Google Patents ↗ Look up on USPTO ↗