Live analysis

1,003,026

1,003,026 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.).

1,003,026 (one million three thousand twenty-six) is an even 7-digit number. It is a composite number with 16 divisors, and factors as 2 × 3 × 349 × 479. Its proper divisors sum to 1,012,974, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF4E12.

Abundant Number Arithmetic Number Cube-Free Evil Number Semiperfect Number Squarefree

Interestingness

★ ★ ☆ ☆ ☆

4 notable facts · grade D

1,003,014 1,003,015 1,003,016 1,003,017 1,003,018 1,003,019 1,003,020 1,003,021 1,003,022 1,003,023 1,003,024 1,003,025 1,003,026 1,003,027 1,003,028 1,003,029 1,003,030 1,003,031 1,003,032 1,003,033 1,003,034 1,003,035 1,003,036 1,003,037 1,003,038

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 12
Digit product: 0
Digital root: 3
Palindrome: No
Bit width: 20 bits
Reversed: 6,203,001
Square (n²): 1,006,061,156,676
Cube (n³): 1,009,105,497,736,101,576
Divisor count: 16
σ(n) — sum of divisors: 2,016,000
φ(n) — Euler's totient: 332,688
Sum of prime factors: 833

Primality

Prime factorization: 2 × 3 × 349 × 479

Nearest primes: 1,003,019 (−7) · 1,003,039 (+13)

Divisors & multiples

All divisors (16)

1 · 2 · 3 · 6 · 349 · 479 · 698 · 958 · 1047 · 1437 · 2094 · 2874 · 167171 · 334342 · 501513 (half) · 1003026

Aliquot sum (sum of proper divisors): 1,012,974

Factor pairs (a × b = 1,003,026)

1 × 1003026

2 × 501513

3 × 334342

6 × 167171

349 × 2874

479 × 2094

698 × 1437

958 × 1047

First multiples

1,003,026 · 2,006,052 (double) · 3,009,078 · 4,012,104 · 5,015,130 · 6,018,156 · 7,021,182 · 8,024,208 · 9,027,234 · 10,030,260

Sums & aliquot sequence

As consecutive integers: 334,341 + 334,342 + 334,343 250,755 + 250,756 + 250,757 + 250,758 83,580 + 83,581 + … + 83,591 2,700 + 2,701 + … + 3,048

Aliquot sequence: 1,003,026 → 1,012,974 → 1,025,634 → 1,069,854 → 1,122,546 → 1,122,558 → 1,306,242 → 1,988,244 → 3,037,686 → 3,037,698 → 3,544,020 → 7,483,500 → 16,138,644 → 23,733,804 → 31,645,100 → 38,496,244 → 28,872,190 — unresolved within range

Continued fraction of √n

√1,003,026 = [1001; (1, 1, 20, 1, 1, 2, 2, 6, 1, 1, 17, 1, 1, 26, 1, 12, 3, 3, 6, 1, 4, 1, 3, 1, …)]

Representations

In words: one million three thousand twenty-six
Ordinal: 1003026th
Binary: 11110100111000010010
Octal: 3647022
Hexadecimal: 0xF4E12
Base64: D04S
One's complement: 4,293,964,269 (32-bit)
Scientific notation: 1.003026 × 10⁶
As a duration: 1,003,026 s = 11 days, 14 hours, 37 minutes, 6 seconds

In other bases

ternary (3) 1212221220010

quaternary (4) 3310320102

quinary (5) 224044101

senary (6) 33255350

septenary (7) 11345163

nonary (9) 1787803

undecimal (11) 625652

duodecimal (12) 404556

tridecimal (13) 29170b

tetradecimal (14) 1c176a

pentadecimal (15) 14c2d6

As an angle

1,003,026° = 2,786 × 360° + 66°

66° ≈ 1.152 rad

Compass bearing: ENE (east-northeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓁨𓆼𓆼𓆼𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Chinese: 一百萬三千零二十六
Chinese (financial): 壹佰萬參仟零貳拾陸

In other modern scripts

Eastern Arabic ١٠٠٣٠٢٦ Devanagari १००३०२६ Bengali ১০০৩০২৬ Tamil ௧௦௦௩௦௨௬ Thai ๑๐๐๓๐๒๖ Tibetan ༡༠༠༣༠༢༦ Khmer ១០០៣០២៦ Lao ໑໐໐໓໐໒໖ Burmese ၁၀၀၃၀၂၆

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1003026, here are decompositions:

7 + 1003019 = 1003026
23 + 1003003 = 1003026
47 + 1002979 = 1003026
53 + 1002973 = 1003026
97 + 1002929 = 1003026
109 + 1002917 = 1003026
113 + 1002913 = 1003026
127 + 1002899 = 1003026

Showing the first eight; more decompositions exist.

Hex color

#0F4E12

RGB(15, 78, 18)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.78.18.

Address: 0.15.78.18
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.78.18

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 1,003,026 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 US1,003,026 on Google Patents ↗ Look up on USPTO ↗