Live analysis

1,013,424

1,013,424 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.).

1,013,424 (one million thirteen thousand four hundred twenty-four) is an even 7-digit number. It is a composite number with 40 divisors, and factors as 2⁴ × 3 × 43 × 491. Its proper divisors sum to 1,670,928, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF76B0.

Abundant Number Evil Number Practical Number Semiperfect Number

Interestingness

★ ☆ ☆ ☆ ☆

2 notable facts · grade F

1,013,412 1,013,413 1,013,414 1,013,415 1,013,416 1,013,417 1,013,418 1,013,419 1,013,420 1,013,421 1,013,422 1,013,423 1,013,424 1,013,425 1,013,426 1,013,427 1,013,428 1,013,429 1,013,430 1,013,431 1,013,432 1,013,433 1,013,434 1,013,435 1,013,436

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 15
Digit product: 0
Digital root: 6
Palindrome: No
Bit width: 20 bits
Reversed: 4,243,101
Square (n²): 1,027,028,203,776
Cube (n³): 1,040,815,030,383,489,024
Divisor count: 40
σ(n) — sum of divisors: 2,684,352
φ(n) — Euler's totient: 329,280
Sum of prime factors: 545

Primality

Prime factorization: 2 ⁴ × 3 × 43 × 491

Nearest primes: 1,013,401 (−23) · 1,013,429 (+5)

Divisors & multiples

All divisors (40)

1 · 2 · 3 · 4 · 6 · 8 · 12 · 16 · 24 · 43 · 48 · 86 · 129 · 172 · 258 · 344 · 491 · 516 · 688 · 982 · 1032 · 1473 · 1964 · 2064 · 2946 · 3928 · 5892 · 7856 · 11784 · 21113 · 23568 · 42226 · 63339 · 84452 · 126678 · 168904 · 253356 · 337808 · 506712 (half) · 1013424

Aliquot sum (sum of proper divisors): 1,670,928

Factor pairs (a × b = 1,013,424)

1 × 1013424

2 × 506712

3 × 337808

4 × 253356

6 × 168904

8 × 126678

12 × 84452

16 × 63339

24 × 42226

43 × 23568

48 × 21113

86 × 11784

129 × 7856

172 × 5892

258 × 3928

344 × 2946

491 × 2064

516 × 1964

688 × 1473

982 × 1032

First multiples

1,013,424 · 2,026,848 (double) · 3,040,272 · 4,053,696 · 5,067,120 · 6,080,544 · 7,093,968 · 8,107,392 · 9,120,816 · 10,134,240

Sums & aliquot sequence

As consecutive integers: 337,807 + 337,808 + 337,809 31,654 + 31,655 + … + 31,685 23,547 + 23,548 + … + 23,589 10,509 + 10,510 + … + 10,604

Aliquot sequence: 1,013,424 → 1,670,928 → 3,263,280 → 6,853,632 → 12,404,544 → 22,501,152 → 43,681,734 → 56,758,266 → 69,371,334 → 81,502,506 → 99,394,938 → 123,323,712 → 222,173,184 → 370,160,376 → 559,403,784 → 959,618,916 → 1,470,991,084 — unresolved within range

Continued fraction of √n

√1,013,424 = [1006; (1, 2, 4, 1, 1, 38, 5, 1, 62, 11, 1, 8, 1, 3, 4, 1, 1, 2, 2, 125, 2, 2, 1, 1, …)]

Period length 40 — the block in parentheses repeats forever.

Representations

In words: one million thirteen thousand four hundred twenty-four
Ordinal: 1013424th
Binary: 11110111011010110000
Octal: 3673260
Hexadecimal: 0xF76B0
Base64: D3aw
One's complement: 4,293,953,871 (32-bit)
Scientific notation: 1.013424 × 10⁶
As a duration: 1,013,424 s = 11 days, 17 hours, 30 minutes, 24 seconds

In other bases

ternary (3) 1220111011020

quaternary (4) 3313122300

quinary (5) 224412144

senary (6) 33415440

septenary (7) 11420406

nonary (9) 1814136

undecimal (11) 632445

duodecimal (12) 40a580

tridecimal (13) 296379

tetradecimal (14) 1c5476

pentadecimal (15) 150419

As an angle

1,013,424° = 2,815 × 360° + 24°

24° ≈ 0.419 rad

Compass bearing: NNE (north-northeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹 𒌋𒌋𒌋 𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓁨𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓏺𓏺𓏺𓏺
Chinese: 一百零一萬三千四百二十四
Chinese (financial): 壹佰零壹萬參仟肆佰貳拾肆

In other modern scripts

Eastern Arabic ١٠١٣٤٢٤ Devanagari १०१३४२४ Bengali ১০১৩৪২৪ Tamil ௧௦௧௩௪௨௪ Thai ๑๐๑๓๔๒๔ Tibetan ༡༠༡༣༤༢༤ Khmer ១០១៣៤២៤ Lao ໑໐໑໓໔໒໔ Burmese ၁၀၁၃၄၂၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1013424, here are decompositions:

23 + 1013401 = 1013424
47 + 1013377 = 1013424
103 + 1013321 = 1013424
157 + 1013267 = 1013424
197 + 1013227 = 1013424
227 + 1013197 = 1013424
271 + 1013153 = 1013424
281 + 1013143 = 1013424

Showing the first eight; more decompositions exist.

Hex color

#0F76B0

RGB(15, 118, 176)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.118.176.

Address: 0.15.118.176
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.118.176

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

Possible date

Could be parsed as a date. Most likely interpretation: Thursday, January 1, 3424 (MDDYYYY (US, single-digit month)).

Other possible interpretations (2)

3424-10-01 (MMDYYYY (US, single-digit day))
3424-01-10 (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 1,013,424 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 US1,013,424 on Google Patents ↗ Look up on USPTO ↗