Live analysis

1,003,400

1,003,400 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.).

1,003,400 (one million three thousand four hundred) is an even 7-digit number. It is a composite number with 48 divisors, and factors as 2³ × 5² × 29 × 173. Its proper divisors sum to 1,423,900, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF4F88.

Abundant Number Gapful Number Harshad / Niven Odious Number Pernicious Number Practical Number Semiperfect Number

Interestingness

★ ★ ☆ ☆ ☆

4 notable facts · grade D

1,003,388 1,003,389 1,003,390 1,003,391 1,003,392 1,003,393 1,003,394 1,003,395 1,003,396 1,003,397 1,003,398 1,003,399 1,003,400 1,003,401 1,003,402 1,003,403 1,003,404 1,003,405 1,003,406 1,003,407 1,003,408 1,003,409 1,003,410 1,003,411 1,003,412

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 8
Digit product: 0
Digital root: 8
Palindrome: No
Bit width: 20 bits
Reversed: 43,001
Square (n²): 1,006,811,560,000
Cube (n³): 1,010,234,719,304,000,000
Divisor count: 48
σ(n) — sum of divisors: 2,427,300
φ(n) — Euler's totient: 385,280
Sum of prime factors: 218

Primality

Prime factorization: 2 ³ × 5 ² × 29 × 173

Nearest primes: 1,003,397 (−3) · 1,003,411 (+11)

Divisors & multiples

All divisors (48)

1 · 2 · 4 · 5 · 8 · 10 · 20 · 25 · 29 · 40 · 50 · 58 · 100 · 116 · 145 · 173 · 200 · 232 · 290 · 346 · 580 · 692 · 725 · 865 · 1160 · 1384 · 1450 · 1730 · 2900 · 3460 · 4325 · 5017 · 5800 · 6920 · 8650 · 10034 · 17300 · 20068 · 25085 · 34600 · 40136 · 50170 · 100340 · 125425 · 200680 · 250850 · 501700 (half) · 1003400

Aliquot sum (sum of proper divisors): 1,423,900

Factor pairs (a × b = 1,003,400)

1 × 1003400

2 × 501700

4 × 250850

5 × 200680

8 × 125425

10 × 100340

20 × 50170

25 × 40136

29 × 34600

40 × 25085

50 × 20068

58 × 17300

100 × 10034

116 × 8650

145 × 6920

173 × 5800

200 × 5017

232 × 4325

290 × 3460

346 × 2900

580 × 1730

692 × 1450

725 × 1384

865 × 1160

First multiples

1,003,400 · 2,006,800 (double) · 3,010,200 · 4,013,600 · 5,017,000 · 6,020,400 · 7,023,800 · 8,027,200 · 9,030,600 · 10,034,000

Sums & aliquot sequence

As a sum of two squares: 86² + 998² = 250² + 970² = 362² + 934² = 382² + 926²

As consecutive integers: 200,678 + 200,679 + 200,680 + 200,681 + 200,682 62,705 + 62,706 + … + 62,720 40,124 + 40,125 + … + 40,148 34,586 + 34,587 + … + 34,614

Aliquot sequence: 1,003,400 → 1,423,900 → 1,779,020 → 1,956,964 → 1,467,730 → 1,438,586 → 788,998 → 618,674 → 489,406 → 244,706 → 223,150 → 192,002 → 96,004 → 72,010 → 64,790 → 73,450 → 74,978 — unresolved within range

Continued fraction of √n

√1,003,400 = [1001; (1, 2, 3, 6, 1, 1, 1, 2, 1, 1, 4, 14, 1, 1, 19, 1, 1, 14, 4, 1, 1, 2, 1, 1, …)]

Period length 30 — the block in parentheses repeats forever.

Representations

In words: one million three thousand four hundred
Ordinal: 1003400th
Binary: 11110100111110001000
Octal: 3647610
Hexadecimal: 0xF4F88
Base64: D0+I
One's complement: 4,293,963,895 (32-bit)
Scientific notation: 1.0034 × 10⁶
As a duration: 1,003,400 s = 11 days, 14 hours, 43 minutes, 20 seconds

In other bases

ternary (3) 1212222101222

quaternary (4) 3310332020

quinary (5) 224102100

senary (6) 33301212

septenary (7) 11346236

nonary (9) 1788358

undecimal (11) 625962

duodecimal (12) 404808

tridecimal (13) 291938

tetradecimal (14) 1c1956

pentadecimal (15) 14c485

As an angle

1,003,400° = 2,787 × 360° + 80°

80° ≈ 1.396 rad

Compass bearing: E (east)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋
Egyptian hieroglyphic: 𓁨𓆼𓆼𓆼𓍢𓍢𓍢𓍢
Chinese: 一百萬三千四百
Chinese (financial): 壹佰萬參仟肆佰

In other modern scripts

Eastern Arabic ١٠٠٣٤٠٠ Devanagari १००३४०० Bengali ১০০৩৪০০ Tamil ௧௦௦௩௪௦௦ Thai ๑๐๐๓๔๐๐ Tibetan ༡༠༠༣༤༠༠ Khmer ១០០៣៤០០ Lao ໑໐໐໓໔໐໐ Burmese ၁၀၀၃၄၀၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1003400, here are decompositions:

3 + 1003397 = 1003400
19 + 1003381 = 1003400
31 + 1003369 = 1003400
37 + 1003363 = 1003400
109 + 1003291 = 1003400
127 + 1003273 = 1003400
199 + 1003201 = 1003400
313 + 1003087 = 1003400

Showing the first eight; more decompositions exist.

Hex color

#0F4F88

RGB(15, 79, 136)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.79.136.

Address: 0.15.79.136
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.79.136

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 1,003,400 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 US1,003,400 on Google Patents ↗ Look up on USPTO ↗