Live analysis

1,003,380

1,003,380 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.).

1,003,380 (one million three thousand three hundred eighty) is an even 7-digit number. It is a composite number with 48 divisors, and factors as 2² × 3 × 5 × 7 × 2,389. Its proper divisors sum to 2,208,780, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF4F74.

Abundant Number Arithmetic Number Cube-Free Gapful Number Harshad / Niven Odious Number Pernicious Number Semiperfect Number

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

1,003,368 1,003,369 1,003,370 1,003,371 1,003,372 1,003,373 1,003,374 1,003,375 1,003,376 1,003,377 1,003,378 1,003,379 1,003,380 1,003,381 1,003,382 1,003,383 1,003,384 1,003,385 1,003,386 1,003,387 1,003,388 1,003,389 1,003,390 1,003,391 1,003,392

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 15
Digit product: 0
Digital root: 6
Palindrome: No
Bit width: 20 bits
Reversed: 833,001
Square (n²): 1,006,771,424,400
Cube (n³): 1,010,174,311,814,472,000
Divisor count: 48
σ(n) — sum of divisors: 3,212,160
φ(n) — Euler's totient: 229,248
Sum of prime factors: 2,408

Primality

Prime factorization: 2 ² × 3 × 5 × 7 × 2389

Nearest primes: 1,003,369 (−11) · 1,003,381 (+1)

Divisors & multiples

All divisors (48)

1 · 2 · 3 · 4 · 5 · 6 · 7 · 10 · 12 · 14 · 15 · 20 · 21 · 28 · 30 · 35 · 42 · 60 · 70 · 84 · 105 · 140 · 210 · 420 · 2389 · 4778 · 7167 · 9556 · 11945 · 14334 · 16723 · 23890 · 28668 · 33446 · 35835 · 47780 · 50169 · 66892 · 71670 · 83615 · 100338 · 143340 · 167230 · 200676 · 250845 · 334460 · 501690 (half) · 1003380

Aliquot sum (sum of proper divisors): 2,208,780

Factor pairs (a × b = 1,003,380)

1 × 1003380

2 × 501690

3 × 334460

4 × 250845

5 × 200676

6 × 167230

7 × 143340

10 × 100338

12 × 83615

14 × 71670

15 × 66892

20 × 50169

21 × 47780

28 × 35835

30 × 33446

35 × 28668

42 × 23890

60 × 16723

70 × 14334

84 × 11945

105 × 9556

140 × 7167

210 × 4778

420 × 2389

First multiples

1,003,380 · 2,006,760 (double) · 3,010,140 · 4,013,520 · 5,016,900 · 6,020,280 · 7,023,660 · 8,027,040 · 9,030,420 · 10,033,800

Sums & aliquot sequence

As consecutive integers: 334,459 + 334,460 + 334,461 200,674 + 200,675 + 200,676 + 200,677 + 200,678 143,337 + 143,338 + … + 143,343 125,419 + 125,420 + … + 125,426

Aliquot sequence: 1,003,380 → 2,208,780 → 5,452,692 → 9,223,788 → 15,373,204 → 21,398,636 → 25,967,284 → 25,967,340 → 66,651,732 → 130,624,620 → 309,400,980 → 683,003,244 → 1,407,185,556 → 2,354,850,540 → 6,288,914,772 → 11,879,061,964 — keeps growing

Continued fraction of √n

√1,003,380 = [1001; (1, 2, 4, 1, 2, 1, 4, 1, 1, 1, 24, 2, 1, 1, 9, 1, 2, 12, 2, 124, 1, 2, 1, 2, …)]

Period length 58 — the block in parentheses repeats forever.

Representations

In words: one million three thousand three hundred eighty
Ordinal: 1003380th
Binary: 11110100111101110100
Octal: 3647564
Hexadecimal: 0xF4F74
Base64: D090
One's complement: 4,293,963,915 (32-bit)
Scientific notation: 1.00338 × 10⁶
As a duration: 1,003,380 s = 11 days, 14 hours, 43 minutes

In other bases

ternary (3) 1212222101020

quaternary (4) 3310331310

quinary (5) 224102010

senary (6) 33301140

septenary (7) 11346210

nonary (9) 1788336

undecimal (11) 625944

duodecimal (12) 4047b0

tridecimal (13) 291921

tetradecimal (14) 1c1940

pentadecimal (15) 14c470

As an angle

1,003,380° = 2,787 × 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 𒌋𒌋𒌋𒌋𒁹𒁹𒁹 ·
Egyptian hieroglyphic: 𓁨𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆
Chinese: 一百萬三千三百八十
Chinese (financial): 壹佰萬參仟參佰捌拾

In other modern scripts

Eastern Arabic ١٠٠٣٣٨٠ Devanagari १००३३८० Bengali ১০০৩৩৮০ Tamil ௧௦௦௩௩௮௦ Thai ๑๐๐๓๓๘๐ Tibetan ༡༠༠༣༣༨༠ Khmer ១០០៣៣៨០ Lao ໑໐໐໓໓໘໐ Burmese ၁၀၀၃၃၈၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1003380, here are decompositions:

11 + 1003369 = 1003380
13 + 1003367 = 1003380
17 + 1003363 = 1003380
19 + 1003361 = 1003380
29 + 1003351 = 1003380
31 + 1003349 = 1003380
43 + 1003337 = 1003380
73 + 1003307 = 1003380

Showing the first eight; more decompositions exist.

Hex color

#0F4F74

RGB(15, 79, 116)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.79.116.

Address: 0.15.79.116
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.79.116

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 1,003,380 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 US1,003,380 on Google Patents ↗ Look up on USPTO ↗