Live analysis

1,013,204

1,013,204 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.).

1,013,204 (one million thirteen thousand two hundred four) is an even 7-digit number. It is a composite number with 12 divisors, and factors as 2² × 31 × 8,171. Written other ways, in hexadecimal, 0xF75D4.

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

Interestingness

★ ☆ ☆ ☆ ☆

3 notable facts · grade F

1,013,192 1,013,193 1,013,194 1,013,195 1,013,196 1,013,197 1,013,198 1,013,199 1,013,200 1,013,201 1,013,202 1,013,203 1,013,204 1,013,205 1,013,206 1,013,207 1,013,208 1,013,209 1,013,210 1,013,211 1,013,212 1,013,213 1,013,214 1,013,215 1,013,216

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Properties

Parity: Even
Digit count: 7
Digit sum: 11
Digit product: 0
Digital root: 2
Palindrome: No
Bit width: 20 bits
Reversed: 4,023,101
Square (n²): 1,026,582,345,616
Cube (n³): 1,040,137,338,907,513,664
Divisor count: 12
σ(n) — sum of divisors: 1,830,528
φ(n) — Euler's totient: 490,200
Sum of prime factors: 8,206

Primality

Prime factorization: 2 ² × 31 × 8171

Nearest primes: 1,013,203 (−1) · 1,013,227 (+23)

Divisors & multiples

All divisors (12)

1 · 2 · 4 · 31 · 62 · 124 · 8171 · 16342 · 32684 · 253301 · 506602 (half) · 1013204

Aliquot sum (sum of proper divisors): 817,324

Factor pairs (a × b = 1,013,204)

1 × 1013204

2 × 506602

4 × 253301

31 × 32684

62 × 16342

124 × 8171

First multiples

1,013,204 · 2,026,408 (double) · 3,039,612 · 4,052,816 · 5,066,020 · 6,079,224 · 7,092,428 · 8,105,632 · 9,118,836 · 10,132,040

Sums & aliquot sequence

As consecutive integers: 126,647 + 126,648 + … + 126,654 32,669 + 32,670 + … + 32,699 3,962 + 3,963 + … + 4,209

Aliquot sequence: 1,013,204 → 817,324 → 613,000 → 823,760 → 1,366,576 → 1,281,196 → 1,281,252 → 2,198,028 → 3,737,076 → 6,818,700 → 17,179,764 → 28,633,164 → 48,813,492 → 91,371,980 → 127,921,108 → 128,166,892 → 137,007,668 — unresolved within range

Continued fraction of √n

√1,013,204 = [1006; (1, 1, 2, 1, 1, 1, 1, 2, 1, 9, 1, 2, 2, 2, 1, 1, 1, 10, 12, 1, 8, 2, 3, 1, …)]

Representations

In words: one million thirteen thousand two hundred four
Ordinal: 1013204th
Binary: 11110111010111010100
Octal: 3672724
Hexadecimal: 0xF75D4
Base64: D3XU
One's complement: 4,293,954,091 (32-bit)
Scientific notation: 1.013204 × 10⁶
As a duration: 1,013,204 s = 11 days, 17 hours, 26 minutes, 44 seconds

In other bases

ternary (3) 1220110212002

quaternary (4) 3313113110

quinary (5) 224410304

senary (6) 33414432

septenary (7) 11416643

nonary (9) 1813762

undecimal (11) 632265

duodecimal (12) 40a418

tridecimal (13) 29623a

tetradecimal (14) 1c535a

pentadecimal (15) 15031e

As an angle

1,013,204° = 2,814 × 360° + 164°

164° ≈ 2.862 rad

Compass bearing: SSE (south-southeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓁨𓂍𓆼𓆼𓆼𓍢𓍢𓏺𓏺𓏺𓏺
Chinese: 一百零一萬三千二百零四
Chinese (financial): 壹佰零壹萬參仟貳佰零肆

In other modern scripts

Eastern Arabic ١٠١٣٢٠٤ Devanagari १०१३२०४ Bengali ১০১৩২০৪ Tamil ௧௦௧௩௨௦௪ Thai ๑๐๑๓๒๐๔ Tibetan ༡༠༡༣༢༠༤ Khmer ១០១៣២០៤ Lao ໑໐໑໓໒໐໔ Burmese ၁၀၁၃၂၀၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1013204, here are decompositions:

7 + 1013197 = 1013204
61 + 1013143 = 1013204
151 + 1013053 = 1013204
163 + 1013041 = 1013204
211 + 1012993 = 1013204
223 + 1012981 = 1013204
373 + 1012831 = 1013204
433 + 1012771 = 1013204

Showing the first eight; more decompositions exist.

Hex color

#0F75D4

RGB(15, 117, 212)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.117.212.

Address: 0.15.117.212
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.117.212

Unspecified address (0.0.0.0/8) — "this network" placeholder.

Possible date

Could be parsed as a date. Most likely interpretation: Thursday, January 1, 3204 (MDDYYYY (US, single-digit month)).

Other possible interpretations (2)

3204-10-01 (MMDYYYY (US, single-digit day))
3204-01-10 (DDMYYYY (Euro, single-digit month))

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 1,013,204 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 US1,013,204 on Google Patents ↗ Look up on USPTO ↗