Live analysis

1,003,242

1,003,242 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.).

1,003,242 (one million three thousand two hundred forty-two) is an even 7-digit number. It is a composite number with 16 divisors, and factors as 2 × 3 × 271 × 617. Its proper divisors sum to 1,013,910, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF4EEA.

Abundant Number Arithmetic Number Cube-Free Odious Number Pernicious Number Semiperfect Number Squarefree

Interestingness

★ ★ ☆ ☆ ☆

4 notable facts · grade D

1,003,230 1,003,231 1,003,232 1,003,233 1,003,234 1,003,235 1,003,236 1,003,237 1,003,238 1,003,239 1,003,240 1,003,241 1,003,242 1,003,243 1,003,244 1,003,245 1,003,246 1,003,247 1,003,248 1,003,249 1,003,250 1,003,251 1,003,252 1,003,253 1,003,254

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 12
Digit product: 0
Digital root: 3
Palindrome: No
Bit width: 20 bits
Reversed: 2,423,001
Square (n²): 1,006,494,510,564
Cube (n³): 1,009,757,565,767,248,488
Divisor count: 16
σ(n) — sum of divisors: 2,017,152
φ(n) — Euler's totient: 332,640
Sum of prime factors: 893

Primality

Prime factorization: 2 × 3 × 271 × 617

Nearest primes: 1,003,241 (−1) · 1,003,259 (+17)

Divisors & multiples

All divisors (16)

1 · 2 · 3 · 6 · 271 · 542 · 617 · 813 · 1234 · 1626 · 1851 · 3702 · 167207 · 334414 · 501621 (half) · 1003242

Aliquot sum (sum of proper divisors): 1,013,910

Factor pairs (a × b = 1,003,242)

1 × 1003242

2 × 501621

3 × 334414

6 × 167207

271 × 3702

542 × 1851

617 × 1626

813 × 1234

First multiples

1,003,242 · 2,006,484 (double) · 3,009,726 · 4,012,968 · 5,016,210 · 6,019,452 · 7,022,694 · 8,025,936 · 9,029,178 · 10,032,420

Sums & aliquot sequence

As consecutive integers: 334,413 + 334,414 + 334,415 250,809 + 250,810 + 250,811 + 250,812 83,598 + 83,599 + … + 83,609 3,567 + 3,568 + … + 3,837

Aliquot sequence: 1,003,242 → 1,013,910 → 1,419,546 → 1,448,358 → 1,448,370 → 3,531,150 → 8,075,250 → 14,581,566 → 17,822,034 → 20,916,666 → 24,402,816 → 50,995,584 → 95,752,836 → 146,289,146 → 75,901,198 → 37,950,602 → 18,975,304 — unresolved within range

Continued fraction of √n

√1,003,242 = [1001; (1, 1, 1, 1, 1, 2, 3, 6, 3, 5, 1, 12, 6, 90, 1, 8, 4, 8, 14, 1, 1, 285, 1, 1, …)]

Representations

In words: one million three thousand two hundred forty-two
Ordinal: 1003242nd
Binary: 11110100111011101010
Octal: 3647352
Hexadecimal: 0xF4EEA
Base64: D07q
One's complement: 4,293,964,053 (32-bit)
Scientific notation: 1.003242 × 10⁶
As a duration: 1,003,242 s = 11 days, 14 hours, 40 minutes, 42 seconds

In other bases

ternary (3) 1212222012010

quaternary (4) 3310323222

quinary (5) 224100432

senary (6) 33300350

septenary (7) 11345622

nonary (9) 1788163

undecimal (11) 625829

duodecimal (12) 4046b6

tridecimal (13) 291846

tetradecimal (14) 1c1882

pentadecimal (15) 14c3cc

As an angle

1,003,242° = 2,786 × 360° + 282°

282° ≈ 4.922 rad

Compass bearing: WNW (west-northwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋 𒌋𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic: 𓁨𓆼𓆼𓆼𓍢𓍢𓎆𓎆𓎆𓎆𓏺𓏺
Chinese: 一百萬三千二百四十二
Chinese (financial): 壹佰萬參仟貳佰肆拾貳

In other modern scripts

Eastern Arabic ١٠٠٣٢٤٢ Devanagari १००३२४२ Bengali ১০০৩২৪২ Tamil ௧௦௦௩௨௪௨ Thai ๑๐๐๓๒๔๒ Tibetan ༡༠༠༣༢༤༢ Khmer ១០០៣២៤២ Lao ໑໐໐໓໒໔໒ Burmese ၁၀၀၃၂၄၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1003242, here are decompositions:

41 + 1003201 = 1003242
43 + 1003199 = 1003242
101 + 1003141 = 1003242
109 + 1003133 = 1003242
131 + 1003111 = 1003242
139 + 1003103 = 1003242
151 + 1003091 = 1003242
193 + 1003049 = 1003242

Showing the first eight; more decompositions exist.

Hex color

#0F4EEA

RGB(15, 78, 234)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.78.234.

Address: 0.15.78.234
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.78.234

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 1,003,242 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 US1,003,242 on Google Patents ↗ Look up on USPTO ↗