Live analysis

1,003,020

1,003,020 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.).

1,003,020 (one million three thousand twenty) is an even 7-digit number. It is a composite number with 48 divisors, and factors as 2² × 3 × 5 × 73 × 229. Its proper divisors sum to 1,856,340, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF4E0C.

Abundant Number Arithmetic Number Cube-Free Evil Number Gapful Number Harshad / Niven Practical Number Semiperfect Number

Interestingness

★ ★ ★ ★ ☆

6 notable facts · grade B

1,003,008 1,003,009 1,003,010 1,003,011 1,003,012 1,003,013 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

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 6
Digit product: 0
Digital root: 6
Palindrome: No
Bit width: 20 bits
Reversed: 203,001
Square (n²): 1,006,049,120,400
Cube (n³): 1,009,087,388,743,608,000
Divisor count: 48
σ(n) — sum of divisors: 2,859,360
φ(n) — Euler's totient: 262,656
Sum of prime factors: 314

Primality

Prime factorization: 2 ² × 3 × 5 × 73 × 229

Nearest primes: 1,003,019 (−1) · 1,003,039 (+19)

Divisors & multiples

All divisors (48)

1 · 2 · 3 · 4 · 5 · 6 · 10 · 12 · 15 · 20 · 30 · 60 · 73 · 146 · 219 · 229 · 292 · 365 · 438 · 458 · 687 · 730 · 876 · 916 · 1095 · 1145 · 1374 · 1460 · 2190 · 2290 · 2748 · 3435 · 4380 · 4580 · 6870 · 13740 · 16717 · 33434 · 50151 · 66868 · 83585 · 100302 · 167170 · 200604 · 250755 · 334340 · 501510 (half) · 1003020

Aliquot sum (sum of proper divisors): 1,856,340

Factor pairs (a × b = 1,003,020)

1 × 1003020

2 × 501510

3 × 334340

4 × 250755

5 × 200604

6 × 167170

10 × 100302

12 × 83585

15 × 66868

20 × 50151

30 × 33434

60 × 16717

73 × 13740

146 × 6870

219 × 4580

229 × 4380

292 × 3435

365 × 2748

438 × 2290

458 × 2190

687 × 1460

730 × 1374

876 × 1145

916 × 1095

First multiples

1,003,020 · 2,006,040 (double) · 3,009,060 · 4,012,080 · 5,015,100 · 6,018,120 · 7,021,140 · 8,024,160 · 9,027,180 · 10,030,200

Sums & aliquot sequence

As consecutive integers: 334,339 + 334,340 + 334,341 200,602 + 200,603 + 200,604 + 200,605 + 200,606 125,374 + 125,375 + … + 125,381 66,861 + 66,862 + … + 66,875

Aliquot sequence: 1,003,020 → 1,856,340 → 3,775,104 → 7,562,196 → 11,802,604 → 10,828,004 → 10,157,884 → 9,234,524 → 8,262,004 → 6,196,510 → 5,041,106 → 3,632,110 → 2,905,706 → 1,452,856 → 1,271,264 → 1,231,600 → 1,728,280 — unresolved within range

Continued fraction of √n

√1,003,020 = [1001; (1, 1, 27, 1, 2, 2, 6, 1, 1, 1, 2, 500, 2, 1, 1, 1, 6, 2, 2, 1, 27, 1, 1, 2002)]

Period length 24 — the block in parentheses repeats forever.

Representations

In words: one million three thousand twenty
Ordinal: 1003020th
Binary: 11110100111000001100
Octal: 3647014
Hexadecimal: 0xF4E0C
Base64: D04M
One's complement: 4,293,964,275 (32-bit)
Scientific notation: 1.00302 × 10⁶
As a duration: 1,003,020 s = 11 days, 14 hours, 37 minutes

In other bases

ternary (3) 1212221212220

quaternary (4) 3310320030

quinary (5) 224044040

senary (6) 33255340

septenary (7) 11345154

nonary (9) 1787786

undecimal (11) 625647

duodecimal (12) 404550

tridecimal (13) 291705

tetradecimal (14) 1c1764

pentadecimal (15) 14c2d0

As an angle

1,003,020° = 2,786 × 360° + 60°

60° ≈ 1.047 rad

Compass bearing: ENE (east-northeast)

Why does a circle have 360 degrees? →

Historical numeral systems

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

In other modern scripts

Eastern Arabic ١٠٠٣٠٢٠ Devanagari १००३०२० Bengali ১০০৩০২০ Tamil ௧௦௦௩௦௨௦ Thai ๑๐๐๓๐๒๐ Tibetan ༡༠༠༣༠༢༠ Khmer ១០០៣០២០ Lao ໑໐໐໓໐໒໐ Burmese ၁၀၀၃၀၂၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1003020, here are decompositions:

17 + 1003003 = 1003020
19 + 1003001 = 1003020
41 + 1002979 = 1003020
47 + 1002973 = 1003020
89 + 1002931 = 1003020
103 + 1002917 = 1003020
107 + 1002913 = 1003020
127 + 1002893 = 1003020

Showing the first eight; more decompositions exist.

Hex color

#0F4E0C

RGB(15, 78, 12)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.78.12.

Address: 0.15.78.12
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.78.12

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 1,003,020 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 US1,003,020 on Google Patents ↗ Look up on USPTO ↗

Position in π

The digit sequence 1003020 first appears in π at position 477,273 of the decimal expansion (the 477,273ordinal-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 1003020 on Pi Search ↗