Live analysis

1,003,221

1,003,221 is a composite number, odd.

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.).

1,003,221 (one million three thousand two hundred twenty-one) is an odd 7-digit number. It is a composite number with 24 divisors, and factors as 3² × 17 × 79 × 83. Written other ways, in hexadecimal, 0xF4ED5.

Arithmetic Number Cube-Free Deficient Number Happy Number Harshad / Niven Odious Number Pernicious Number

Interestingness

★ ★ ☆ ☆ ☆

4 notable facts · grade D

1,003,209 1,003,210 1,003,211 1,003,212 1,003,213 1,003,214 1,003,215 1,003,216 1,003,217 1,003,218 1,003,219 1,003,220 1,003,221 1,003,222 1,003,223 1,003,224 1,003,225 1,003,226 1,003,227 1,003,228 1,003,229 1,003,230 1,003,231 1,003,232 1,003,233

less more

Properties

Parity: Odd
Digit count: 7
Digit sum: 9
Digit product: 0
Digital root: 9
Palindrome: No
Bit width: 20 bits
Reversed: 1,223,001
Square (n²): 1,006,452,374,841
Cube (n³): 1,009,694,157,940,362,861
Divisor count: 24
σ(n) — sum of divisors: 1,572,480
φ(n) — Euler's totient: 614,016
Sum of prime factors: 185

Primality

Prime factorization: 3 ² × 17 × 79 × 83

Nearest primes: 1,003,201 (−20) · 1,003,241 (+20)

Divisors & multiples

All divisors (24)

1 · 3 · 9 · 17 · 51 · 79 · 83 · 153 · 237 · 249 · 711 · 747 · 1343 · 1411 · 4029 · 4233 · 6557 · 12087 · 12699 · 19671 · 59013 · 111469 · 334407 · 1003221

Aliquot sum (sum of proper divisors): 569,259

Factor pairs (a × b = 1,003,221)

1 × 1003221

3 × 334407

9 × 111469

17 × 59013

51 × 19671

79 × 12699

83 × 12087

153 × 6557

237 × 4233

249 × 4029

711 × 1411

747 × 1343

First multiples

1,003,221 · 2,006,442 (double) · 3,009,663 · 4,012,884 · 5,016,105 · 6,019,326 · 7,022,547 · 8,025,768 · 9,028,989 · 10,032,210

Sums & aliquot sequence

As consecutive integers: 501,610 + 501,611 334,406 + 334,407 + 334,408 167,201 + 167,202 + 167,203 + 167,204 + 167,205 + 167,206 111,465 + 111,466 + … + 111,473

Aliquot sequence: 1,003,221 → 569,259 → 296,541 → 210,691 → 28,429 → 1 → 0 — terminates at zero

Continued fraction of √n

√1,003,221 = [1001; (1, 1, 1, 1, 3, 1, 2, 1, 12, 1, 2, 2, 3, 3, 1, 1, 6, 500, 1, 1, 1, 7, 14, 1, …)]

Period length 52 — the block in parentheses repeats forever.

Representations

In words: one million three thousand two hundred twenty-one
Ordinal: 1003221st
Binary: 11110100111011010101
Octal: 3647325
Hexadecimal: 0xF4ED5
Base64: D07V
One's complement: 4,293,964,074 (32-bit)
Scientific notation: 1.003221 × 10⁶
As a duration: 1,003,221 s = 11 days, 14 hours, 40 minutes, 21 seconds

In other bases

ternary (3) 1212222011100

quaternary (4) 3310323111

quinary (5) 224100341

senary (6) 33300313

septenary (7) 11345562

nonary (9) 1788140

undecimal (11) 62580a

duodecimal (12) 404699

tridecimal (13) 29182b

tetradecimal (14) 1c1869

pentadecimal (15) 14c3b6

As an angle

1,003,221° = 2,786 × 360° + 261°

261° ≈ 4.555 rad

Compass bearing: W (west)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋 𒌋𒌋𒁹
Egyptian hieroglyphic: 𓁨𓆼𓆼𓆼𓍢𓍢𓎆𓎆𓏺
Chinese: 一百萬三千二百二十一
Chinese (financial): 壹佰萬參仟貳佰貳拾壹

In other modern scripts

Eastern Arabic ١٠٠٣٢٢١ Devanagari १००३२२१ Bengali ১০০৩২২১ Tamil ௧௦௦௩௨௨௧ Thai ๑๐๐๓๒๒๑ Tibetan ༡༠༠༣༢༢༡ Khmer ១០០៣២២១ Lao ໑໐໐໓໒໒໑ Burmese ၁၀၀၃၂၂၁

Also seen as

Hex color

#0F4ED5

RGB(15, 78, 213)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.78.213.

Address: 0.15.78.213
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.78.213

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 1,003,221 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 US1,003,221 on Google Patents ↗ Look up on USPTO ↗