Live analysis

1,001,800

1,001,800 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.).

1,001,800 (one million one thousand eight hundred) is an even 7-digit number. It is a composite number with 24 divisors, and factors as 2³ × 5² × 5,009. Its proper divisors sum to 1,327,850, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF4948.

Abundant Number Flippable Gapful Number Harshad / Niven Odious Number Semiperfect Number

Interestingness

★ ★ ☆ ☆ ☆

4 notable facts · grade D

1,001,788 1,001,789 1,001,790 1,001,791 1,001,792 1,001,793 1,001,794 1,001,795 1,001,796 1,001,797 1,001,798 1,001,799 1,001,800 1,001,801 1,001,802 1,001,803 1,001,804 1,001,805 1,001,806 1,001,807 1,001,808 1,001,809 1,001,810 1,001,811 1,001,812

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 10
Digit product: 0
Digital root: 1
Palindrome: No
Bit width: 20 bits
Reversed: 81,001
Flips to (rotate 180°): 81,001
Square (n²): 1,003,603,240,000
Cube (n³): 1,005,409,725,832,000,000
Divisor count: 24
σ(n) — sum of divisors: 2,329,650
φ(n) — Euler's totient: 400,640
Sum of prime factors: 5,025

Primality

Prime factorization: 2 ³ × 5 ² × 5009

Nearest primes: 1,001,797 (−3) · 1,001,801 (+1)

Divisors & multiples

All divisors (24)

1 · 2 · 4 · 5 · 8 · 10 · 20 · 25 · 40 · 50 · 100 · 200 · 5009 · 10018 · 20036 · 25045 · 40072 · 50090 · 100180 · 125225 · 200360 · 250450 · 500900 (half) · 1001800

Aliquot sum (sum of proper divisors): 1,327,850

Factor pairs (a × b = 1,001,800)

1 × 1001800

2 × 500900

4 × 250450

5 × 200360

8 × 125225

10 × 100180

20 × 50090

25 × 40072

40 × 25045

50 × 20036

100 × 10018

200 × 5009

First multiples

1,001,800 · 2,003,600 (double) · 3,005,400 · 4,007,200 · 5,009,000 · 6,010,800 · 7,012,600 · 8,014,400 · 9,016,200 · 10,018,000

Sums & aliquot sequence

As a sum of two squares: 262² + 966² = 370² + 930² = 522² + 854²

As consecutive integers: 200,358 + 200,359 + 200,360 + 200,361 + 200,362 62,605 + 62,606 + … + 62,620 40,060 + 40,061 + … + 40,084 12,483 + 12,484 + … + 12,562

Aliquot sequence: 1,001,800 → 1,327,850 → 1,142,044 → 894,620 → 1,031,668 → 937,964 → 712,300 → 928,220 → 1,021,084 → 773,100 → 1,652,960 → 2,252,536 → 2,774,864 → 2,601,466 → 1,858,214 → 1,004,554 → 502,280 — unresolved within range

Continued fraction of √n

√1,001,800 = [1000; (1, 8, 1, 23, 1, 4, 2, 1, 2, 1, 17, 3, 3, 1, 1, 1, 4, 2, 1, 1, 1, 4, 3, 1, …)]

Representations

In words: one million one thousand eight hundred
Ordinal: 1001800th
Binary: 11110100100101001000
Octal: 3644510
Hexadecimal: 0xF4948
Base64: D0lI
One's complement: 4,293,965,495 (32-bit)
Scientific notation: 1.0018 × 10⁶
As a duration: 1,001,800 s = 11 days, 14 hours, 16 minutes, 40 seconds

In other bases

ternary (3) 1212220012201

quaternary (4) 3310211020

quinary (5) 224024200

senary (6) 33245544

septenary (7) 11341462

nonary (9) 1786181

undecimal (11) 624738

duodecimal (12) 4038b4

tridecimal (13) 290ca7

tetradecimal (14) 1c1132

pentadecimal (15) 14bc6a

As an angle

1,001,800° = 2,782 × 360° + 280°

280° ≈ 4.887 rad

Compass bearing: W (west)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋
Egyptian hieroglyphic: 𓁨𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢
Chinese: 一百萬一千八百
Chinese (financial): 壹佰萬壹仟捌佰

In other modern scripts

Eastern Arabic ١٠٠١٨٠٠ Devanagari १००१८०० Bengali ১০০১৮০০ Tamil ௧௦௦௧௮௦௦ Thai ๑๐๐๑๘๐๐ Tibetan ༡༠༠༡༨༠༠ Khmer ១០០១៨០០ Lao ໑໐໐໑໘໐໐ Burmese ၁၀၀၁၈၀၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1001800, here are decompositions:

3 + 1001797 = 1001800
17 + 1001783 = 1001800
113 + 1001687 = 1001800
131 + 1001669 = 1001800
179 + 1001621 = 1001800
251 + 1001549 = 1001800
269 + 1001531 = 1001800
353 + 1001447 = 1001800

Showing the first eight; more decompositions exist.

Hex color

#0F4948

RGB(15, 73, 72)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.73.72.

Address: 0.15.73.72
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.73.72

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 1,001,800 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 US1,001,800 on Google Patents ↗ Look up on USPTO ↗

Position in π

The digit sequence 1001800 first appears in π at position 176,038 of the decimal expansion (the 176,038ordinal-suffix:th digit after the integer 3).

Search range: the first 1,000,000 fractional digits of π. Any 6-digit-or-shorter string is virtually guaranteed to appear in there — the more interesting signal is the position.

Look up 1001800 on Pi Search ↗