Live analysis

1,001,400

1,001,400 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.).

1,001,400 (one million one thousand four hundred) is an even 7-digit number. It is a composite number with 48 divisors, and factors as 2³ × 3 × 5² × 1,669. Its proper divisors sum to 2,104,800, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF47B8.

Abundant Number Evil Number Gapful Number Harshad / Niven Practical Number Semiperfect Number

Interestingness

★ ★ ☆ ☆ ☆

4 notable facts · grade D

1,001,388 1,001,389 1,001,390 1,001,391 1,001,392 1,001,393 1,001,394 1,001,395 1,001,396 1,001,397 1,001,398 1,001,399 1,001,400 1,001,401 1,001,402 1,001,403 1,001,404 1,001,405 1,001,406 1,001,407 1,001,408 1,001,409 1,001,410 1,001,411 1,001,412

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 6
Digit product: 0
Digital root: 6
Palindrome: No
Bit width: 20 bits
Reversed: 41,001
Square (n²): 1,002,801,960,000
Cube (n³): 1,004,205,882,744,000,000
Divisor count: 48
σ(n) — sum of divisors: 3,106,200
φ(n) — Euler's totient: 266,880
Sum of prime factors: 1,688

Primality

Prime factorization: 2 ³ × 3 × 5 ² × 1669

Nearest primes: 1,001,389 (−11) · 1,001,401 (+1)

Divisors & multiples

All divisors (48)

1 · 2 · 3 · 4 · 5 · 6 · 8 · 10 · 12 · 15 · 20 · 24 · 25 · 30 · 40 · 50 · 60 · 75 · 100 · 120 · 150 · 200 · 300 · 600 · 1669 · 3338 · 5007 · 6676 · 8345 · 10014 · 13352 · 16690 · 20028 · 25035 · 33380 · 40056 · 41725 · 50070 · 66760 · 83450 · 100140 · 125175 · 166900 · 200280 · 250350 · 333800 · 500700 (half) · 1001400

Aliquot sum (sum of proper divisors): 2,104,800

Factor pairs (a × b = 1,001,400)

1 × 1001400

2 × 500700

3 × 333800

4 × 250350

5 × 200280

6 × 166900

8 × 125175

10 × 100140

12 × 83450

15 × 66760

20 × 50070

24 × 41725

25 × 40056

30 × 33380

40 × 25035

50 × 20028

60 × 16690

75 × 13352

100 × 10014

120 × 8345

150 × 6676

200 × 5007

300 × 3338

600 × 1669

First multiples

1,001,400 · 2,002,800 (double) · 3,004,200 · 4,005,600 · 5,007,000 · 6,008,400 · 7,009,800 · 8,011,200 · 9,012,600 · 10,014,000

Sums & aliquot sequence

As consecutive integers: 333,799 + 333,800 + 333,801 200,278 + 200,279 + 200,280 + 200,281 + 200,282 66,753 + 66,754 + … + 66,767 62,580 + 62,581 + … + 62,595

Aliquot sequence: 1,001,400 → 2,104,800 → 4,754,136 → 7,243,224 → 12,443,016 → 18,761,784 → 28,142,736 → 44,751,408 → 84,094,512 → 147,399,600 → 324,774,296 → 474,425,704 → 415,122,506 → 207,561,256 → 246,997,784 → 287,343,016 → 251,425,154 — unresolved within range

Continued fraction of √n

√1,001,400 = [1000; (1, 2, 3, 40, 1, 1, 5, 14, 1, 1, 6, 1, 2, 1, 3, 3, 1, 4, 1, 2, 1, 2, 1, 6, …)]

Representations

In words: one million one thousand four hundred
Ordinal: 1001400th
Binary: 11110100011110111000
Octal: 3643670
Hexadecimal: 0xF47B8
Base64: D0e4
One's complement: 4,293,965,895 (32-bit)
Scientific notation: 1.0014 × 10⁶
As a duration: 1,001,400 s = 11 days, 14 hours, 10 minutes

In other bases

ternary (3) 1212212122220

quaternary (4) 3310132320

quinary (5) 224021100

senary (6) 33244040

septenary (7) 11340351

nonary (9) 1785586

undecimal (11) 624404

duodecimal (12) 403620

tridecimal (13) 290a5a

tetradecimal (14) 1c0d28

pentadecimal (15) 14baa0

As an angle

1,001,400° = 2,781 × 360° + 240°

240° ≈ 4.189 rad

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋 ·
Egyptian hieroglyphic: 𓁨𓆼𓍢𓍢𓍢𓍢
Chinese: 一百萬一千四百
Chinese (financial): 壹佰萬壹仟肆佰

In other modern scripts

Eastern Arabic ١٠٠١٤٠٠ Devanagari १००१४०० Bengali ১০০১৪০০ Tamil ௧௦௦௧௪௦௦ Thai ๑๐๐๑๔๐๐ Tibetan ༡༠༠༡༤༠༠ Khmer ១០០១៤០០ Lao ໑໐໐໑໔໐໐ Burmese ၁၀၀၁၄၀၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1001400, here are decompositions:

11 + 1001389 = 1001400
13 + 1001387 = 1001400
19 + 1001381 = 1001400
31 + 1001369 = 1001400
47 + 1001353 = 1001400
53 + 1001347 = 1001400
73 + 1001327 = 1001400
79 + 1001321 = 1001400

Showing the first eight; more decompositions exist.

Hex color

#0F47B8

RGB(15, 71, 184)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.71.184.

Address: 0.15.71.184
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.71.184

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 1,001,400 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 US1,001,400 on Google Patents ↗ Look up on USPTO ↗