Live analysis

1,001,424

1,001,424 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.).

1,001,424 (one million one thousand four hundred twenty-four) is an even 7-digit number. It is a composite number with 40 divisors, and factors as 2⁴ × 3 × 31 × 673. Its proper divisors sum to 1,673,008, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF47D0.

Abundant Number Harshad / Niven Odious Number Pernicious Number Practical Number Semiperfect Number

Interestingness

★ ☆ ☆ ☆ ☆

3 notable facts · grade F

1,001,412 1,001,413 1,001,414 1,001,415 1,001,416 1,001,417 1,001,418 1,001,419 1,001,420 1,001,421 1,001,422 1,001,423 1,001,424 1,001,425 1,001,426 1,001,427 1,001,428 1,001,429 1,001,430 1,001,431 1,001,432 1,001,433 1,001,434 1,001,435 1,001,436

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 12
Digit product: 0
Digital root: 3
Palindrome: No
Bit width: 20 bits
Reversed: 4,241,001
Square (n²): 1,002,850,027,776
Cube (n³): 1,004,278,086,215,553,024
Divisor count: 40
σ(n) — sum of divisors: 2,674,432
φ(n) — Euler's totient: 322,560
Sum of prime factors: 715

Primality

Prime factorization: 2 ⁴ × 3 × 31 × 673

Nearest primes: 1,001,411 (−13) · 1,001,431 (+7)

Divisors & multiples

All divisors (40)

1 · 2 · 3 · 4 · 6 · 8 · 12 · 16 · 24 · 31 · 48 · 62 · 93 · 124 · 186 · 248 · 372 · 496 · 673 · 744 · 1346 · 1488 · 2019 · 2692 · 4038 · 5384 · 8076 · 10768 · 16152 · 20863 · 32304 · 41726 · 62589 · 83452 · 125178 · 166904 · 250356 · 333808 · 500712 (half) · 1001424

Aliquot sum (sum of proper divisors): 1,673,008

Factor pairs (a × b = 1,001,424)

1 × 1001424

2 × 500712

3 × 333808

4 × 250356

6 × 166904

8 × 125178

12 × 83452

16 × 62589

24 × 41726

31 × 32304

48 × 20863

62 × 16152

93 × 10768

124 × 8076

186 × 5384

248 × 4038

372 × 2692

496 × 2019

673 × 1488

744 × 1346

First multiples

1,001,424 · 2,002,848 (double) · 3,004,272 · 4,005,696 · 5,007,120 · 6,008,544 · 7,009,968 · 8,011,392 · 9,012,816 · 10,014,240

Sums & aliquot sequence

As consecutive integers: 333,807 + 333,808 + 333,809 32,289 + 32,290 + … + 32,319 31,279 + 31,280 + … + 31,310 10,722 + 10,723 + … + 10,814

Aliquot sequence: 1,001,424 → 1,673,008 → 1,674,000 → 4,516,080 → 9,959,184 → 20,372,208 → 33,957,648 → 64,155,120 → 141,165,072 → 285,474,288 → 557,900,304 → 1,063,329,264 → 2,008,523,728 → 2,008,524,720 → 4,483,631,184 → 7,472,722,608 → 16,372,417,872 — keeps growing

Continued fraction of √n

√1,001,424 = [1000; (1, 2, 2, 7, 1, 1, 1, 1, 3, 1, 2, 2, 3, 17, 1, 1, 2, 1, 2, 2, 86, 1, 1, 2, …)]

Representations

In words: one million one thousand four hundred twenty-four
Ordinal: 1001424th
Binary: 11110100011111010000
Octal: 3643720
Hexadecimal: 0xF47D0
Base64: D0fQ
One's complement: 4,293,965,871 (32-bit)
Scientific notation: 1.001424 × 10⁶
As a duration: 1,001,424 s = 11 days, 14 hours, 10 minutes, 24 seconds

In other bases

ternary (3) 1212212200210

quaternary (4) 3310133100

quinary (5) 224021144

senary (6) 33244120

septenary (7) 11340414

nonary (9) 1785623

undecimal (11) 624426

duodecimal (12) 403640

tridecimal (13) 290a78

tetradecimal (14) 1c0d44

pentadecimal (15) 14bab9

Palindromic in base 11

As an angle

1,001,424° = 2,781 × 360° + 264°

264° ≈ 4.608 rad

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋 𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓁨𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓏺𓏺𓏺𓏺
Chinese: 一百萬一千四百二十四
Chinese (financial): 壹佰萬壹仟肆佰貳拾肆

In other modern scripts

Eastern Arabic ١٠٠١٤٢٤ Devanagari १००१४२४ Bengali ১০০১৪২৪ Tamil ௧௦௦௧௪௨௪ Thai ๑๐๐๑๔๒๔ Tibetan ༡༠༠༡༤༢༤ Khmer ១០០១៤២៤ Lao ໑໐໐໑໔໒໔ Burmese ၁၀၀၁၄၂၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1001424, here are decompositions:

13 + 1001411 = 1001424
23 + 1001401 = 1001424
37 + 1001387 = 1001424
43 + 1001381 = 1001424
71 + 1001353 = 1001424
97 + 1001327 = 1001424
101 + 1001323 = 1001424
103 + 1001321 = 1001424

Showing the first eight; more decompositions exist.

Hex color

#0F47D0

RGB(15, 71, 208)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.71.208.

Address: 0.15.71.208
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.71.208

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 1,001,424 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 US1,001,424 on Google Patents ↗ Look up on USPTO ↗