Live analysis

1,002,200

1,002,200 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.).

1,002,200 (one million two thousand two hundred) is an even 7-digit number. It is a composite number with 24 divisors, and factors as 2³ × 5² × 5,011. Its proper divisors sum to 1,328,380, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF4AD8.

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

Interestingness

★ ☆ ☆ ☆ ☆

3 notable facts · grade F

1,002,188 1,002,189 1,002,190 1,002,191 1,002,192 1,002,193 1,002,194 1,002,195 1,002,196 1,002,197 1,002,198 1,002,199 1,002,200 1,002,201 1,002,202 1,002,203 1,002,204 1,002,205 1,002,206 1,002,207 1,002,208 1,002,209 1,002,210 1,002,211 1,002,212

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 5
Digit product: 0
Digital root: 5
Palindrome: No
Bit width: 20 bits
Reversed: 22,001
Square (n²): 1,004,404,840,000
Cube (n³): 1,006,614,530,648,000,000
Divisor count: 24
σ(n) — sum of divisors: 2,330,580
φ(n) — Euler's totient: 400,800
Sum of prime factors: 5,027

Primality

Prime factorization: 2 ³ × 5 ² × 5011

Nearest primes: 1,002,191 (−9) · 1,002,227 (+27)

Divisors & multiples

All divisors (24)

1 · 2 · 4 · 5 · 8 · 10 · 20 · 25 · 40 · 50 · 100 · 200 · 5011 · 10022 · 20044 · 25055 · 40088 · 50110 · 100220 · 125275 · 200440 · 250550 · 501100 (half) · 1002200

Aliquot sum (sum of proper divisors): 1,328,380

Factor pairs (a × b = 1,002,200)

1 × 1002200

2 × 501100

4 × 250550

5 × 200440

8 × 125275

10 × 100220

20 × 50110

25 × 40088

40 × 25055

50 × 20044

100 × 10022

200 × 5011

First multiples

1,002,200 · 2,004,400 (double) · 3,006,600 · 4,008,800 · 5,011,000 · 6,013,200 · 7,015,400 · 8,017,600 · 9,019,800 · 10,022,000

Sums & aliquot sequence

As consecutive integers: 200,438 + 200,439 + 200,440 + 200,441 + 200,442 62,630 + 62,631 + … + 62,645 40,076 + 40,077 + … + 40,100 12,488 + 12,489 + … + 12,567

Aliquot sequence: 1,002,200 → 1,328,380 → 1,626,068 → 1,219,558 → 609,782 → 308,218 → 178,502 → 91,498 → 58,262 → 29,134 → 20,834 → 13,294 → 8,810 → 7,066 → 3,536 → 4,276 → 3,214 — unresolved within range

Continued fraction of √n

√1,002,200 = [1001; (10, 16, 2, 4, 4, 2, 2, 1, 2, 1, 1, 1, 5, 1, 4, 9, 2, 1, 2, 11, 2, 9, 9, 1, …)]

Representations

In words: one million two thousand two hundred
Ordinal: 1002200th
Binary: 11110100101011011000
Octal: 3645330
Hexadecimal: 0xF4AD8
Base64: D0rY
One's complement: 4,293,965,095 (32-bit)
Scientific notation: 1.0022 × 10⁶
As a duration: 1,002,200 s = 11 days, 14 hours, 23 minutes, 20 seconds

In other bases

ternary (3) 1212220202112

quaternary (4) 3310223120

quinary (5) 224032300

senary (6) 33251452

septenary (7) 11342603

nonary (9) 1786675

undecimal (11) 624a71

duodecimal (12) 403b88

tridecimal (13) 291224

tetradecimal (14) 1c133a

pentadecimal (15) 14be35

As an angle

1,002,200° = 2,783 × 360° + 320°

320° ≈ 5.585 rad

Compass bearing: NW (northwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹 𒌋𒌋
Egyptian hieroglyphic: 𓁨𓆼𓆼𓍢𓍢
Chinese: 一百萬二千二百
Chinese (financial): 壹佰萬貳仟貳佰

In other modern scripts

Eastern Arabic ١٠٠٢٢٠٠ Devanagari १००२२०० Bengali ১০০২২০০ Tamil ௧௦௦௨௨௦௦ Thai ๑๐๐๒๒๐๐ Tibetan ༡༠༠༢༢༠༠ Khmer ១០០២២០០ Lao ໑໐໐໒໒໐໐ Burmese ၁၀၀၂၂၀၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1002200, here are decompositions:

79 + 1002121 = 1002200
109 + 1002091 = 1002200
127 + 1002073 = 1002200
139 + 1002061 = 1002200
151 + 1002049 = 1002200
211 + 1001989 = 1002200
223 + 1001977 = 1002200
379 + 1001821 = 1002200

Showing the first eight; more decompositions exist.

Hex color

#0F4AD8

RGB(15, 74, 216)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.74.216.

Address: 0.15.74.216
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.74.216

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 1,002,200 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 US1,002,200 on Google Patents ↗ Look up on USPTO ↗

Position in π

The digit sequence 1002200 first appears in π at position 131,131 of the decimal expansion (the 131,131ordinal-suffix:st 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 1002200 on Pi Search ↗