Live analysis

1,003,142

1,003,142 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.).

1,003,142 (one million three thousand one hundred forty-two) is an even 7-digit number. It is a composite number with 16 divisors, and factors as 2 × 7 × 79 × 907. Written other ways, in hexadecimal, 0xF4E86.

Arithmetic Number Cube-Free Deficient Number Happy Number Odious Number Pernicious Number Squarefree

Interestingness

★ ★ ☆ ☆ ☆

4 notable facts · grade D

1,003,130 1,003,131 1,003,132 1,003,133 1,003,134 1,003,135 1,003,136 1,003,137 1,003,138 1,003,139 1,003,140 1,003,141 1,003,142 1,003,143 1,003,144 1,003,145 1,003,146 1,003,147 1,003,148 1,003,149 1,003,150 1,003,151 1,003,152 1,003,153 1,003,154

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 11
Digit product: 0
Digital root: 2
Palindrome: No
Bit width: 20 bits
Reversed: 2,413,001
Square (n²): 1,006,293,872,164
Cube (n³): 1,009,455,647,510,339,288
Divisor count: 16
σ(n) — sum of divisors: 1,743,360
φ(n) — Euler's totient: 424,008
Sum of prime factors: 995

Primality

Prime factorization: 2 × 7 × 79 × 907

Nearest primes: 1,003,141 (−1) · 1,003,193 (+51)

Divisors & multiples

All divisors (16)

1 · 2 · 7 · 14 · 79 · 158 · 553 · 907 · 1106 · 1814 · 6349 · 12698 · 71653 · 143306 · 501571 (half) · 1003142

Aliquot sum (sum of proper divisors): 740,218

Factor pairs (a × b = 1,003,142)

1 × 1003142

2 × 501571

7 × 143306

14 × 71653

79 × 12698

158 × 6349

553 × 1814

907 × 1106

First multiples

1,003,142 · 2,006,284 (double) · 3,009,426 · 4,012,568 · 5,015,710 · 6,018,852 · 7,021,994 · 8,025,136 · 9,028,278 · 10,031,420

Sums & aliquot sequence

As a sum of two cubes: 73³ + 85³

As consecutive integers: 250,784 + 250,785 + 250,786 + 250,787 143,303 + 143,304 + … + 143,309 35,813 + 35,814 + … + 35,840 12,659 + 12,660 + … + 12,737

Aliquot sequence: 1,003,142 → 740,218 → 406,022 → 203,014 → 165,914 → 123,760 → 251,216 → 305,296 → 286,246 → 168,434 → 127,054 → 63,530 → 50,842 → 32,390 → 28,090 → 23,444 → 17,590 — unresolved within range

Continued fraction of √n

√1,003,142 = [1001; (1, 1, 3, 12, 286, 12, 3, 1, 1, 2002)]

Period length 10 — the block in parentheses repeats forever.

Representations

In words: one million three thousand one hundred forty-two
Ordinal: 1003142nd
Binary: 11110100111010000110
Octal: 3647206
Hexadecimal: 0xF4E86
Base64: D06G
One's complement: 4,293,964,153 (32-bit)
Scientific notation: 1.003142 × 10⁶
As a duration: 1,003,142 s = 11 days, 14 hours, 39 minutes, 2 seconds

In other bases

ternary (3) 1212222001102

quaternary (4) 3310322012

quinary (5) 224100032

senary (6) 33300102

septenary (7) 11345420

nonary (9) 1788042

undecimal (11) 625748

duodecimal (12) 404632

tridecimal (13) 29179a

tetradecimal (14) 1c1810

pentadecimal (15) 14c362

As an angle

1,003,142° = 2,786 × 360° + 182°

182° ≈ 3.176 rad

Compass bearing: S (south)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹
Egyptian hieroglyphic: 𓁨𓆼𓆼𓆼𓍢𓎆𓎆𓎆𓎆𓏺𓏺
Chinese: 一百萬三千一百四十二
Chinese (financial): 壹佰萬參仟壹佰肆拾貳

In other modern scripts

Eastern Arabic ١٠٠٣١٤٢ Devanagari १००३१४२ Bengali ১০০৩১৪২ Tamil ௧௦௦௩௧௪௨ Thai ๑๐๐๓๑๔๒ Tibetan ༡༠༠༣༡༤༢ Khmer ១០០៣១៤២ Lao ໑໐໐໓໑໔໒ Burmese ၁၀၀၃၁၄၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1003142, here are decompositions:

31 + 1003111 = 1003142
103 + 1003039 = 1003142
139 + 1003003 = 1003142
163 + 1002979 = 1003142
211 + 1002931 = 1003142
229 + 1002913 = 1003142
271 + 1002871 = 1003142
373 + 1002769 = 1003142

Showing the first eight; more decompositions exist.

Hex color

#0F4E86

RGB(15, 78, 134)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.78.134.

Address: 0.15.78.134
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.78.134

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 1,003,142 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 US1,003,142 on Google Patents ↗ Look up on USPTO ↗

Position in π

The digit sequence 1003142 first appears in π at position 567,093 of the decimal expansion (the 567,093ordinal-suffix:rd 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 1003142 on Pi Search ↗