Live analysis

1,002,704

1,002,704 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.).

1,002,704 (one million two thousand seven hundred four) is an even 7-digit number. It is a composite number with 20 divisors, and factors as 2⁴ × 29 × 2,161. Its proper divisors sum to 1,007,956, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF4CD0.

Abundant Number Arithmetic Number Evil Number Happy Number Semiperfect Number

Interestingness

★ ☆ ☆ ☆ ☆

3 notable facts · grade F

1,002,692 1,002,693 1,002,694 1,002,695 1,002,696 1,002,697 1,002,698 1,002,699 1,002,700 1,002,701 1,002,702 1,002,703 1,002,704 1,002,705 1,002,706 1,002,707 1,002,708 1,002,709 1,002,710 1,002,711 1,002,712 1,002,713 1,002,714 1,002,715 1,002,716

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 14
Digit product: 0
Digital root: 5
Palindrome: No
Bit width: 20 bits
Reversed: 4,072,001
Square (n²): 1,005,415,311,616
Cube (n³): 1,008,133,954,618,609,664
Divisor count: 20
σ(n) — sum of divisors: 2,010,660
φ(n) — Euler's totient: 483,840
Sum of prime factors: 2,198

Primality

Prime factorization: 2 ⁴ × 29 × 2161

Nearest primes: 1,002,679 (−25) · 1,002,709 (+5)

Divisors & multiples

All divisors (20)

1 · 2 · 4 · 8 · 16 · 29 · 58 · 116 · 232 · 464 · 2161 · 4322 · 8644 · 17288 · 34576 · 62669 · 125338 · 250676 · 501352 (half) · 1002704

Aliquot sum (sum of proper divisors): 1,007,956

Factor pairs (a × b = 1,002,704)

1 × 1002704

2 × 501352

4 × 250676

8 × 125338

16 × 62669

29 × 34576

58 × 17288

116 × 8644

232 × 4322

464 × 2161

First multiples

1,002,704 · 2,005,408 (double) · 3,008,112 · 4,010,816 · 5,013,520 · 6,016,224 · 7,018,928 · 8,021,632 · 9,024,336 · 10,027,040

Sums & aliquot sequence

As a sum of two squares: 52² + 1,000² = 652² + 760²

As consecutive integers: 34,562 + 34,563 + … + 34,590 31,319 + 31,320 + … + 31,350 617 + 618 + … + 1,544

Aliquot sequence: 1,002,704 → 1,007,956 → 786,284 → 721,684 → 615,680 → 1,015,432 → 1,079,318 → 554,842 → 277,424 → 337,120 → 610,904 → 698,296 → 620,744 → 581,176 → 508,544 → 547,156 → 436,512 — unresolved within range

Continued fraction of √n

√1,002,704 = [1001; (2, 1, 5, 1, 1, 2, 4, 2, 3, 5, 2, 1, 1, 1, 1, 4, 2, 1, 1, 1, 2, 1, 1, 4, …)]

Representations

In words: one million two thousand seven hundred four
Ordinal: 1002704th
Binary: 11110100110011010000
Octal: 3646320
Hexadecimal: 0xF4CD0
Base64: D0zQ
One's complement: 4,293,964,591 (32-bit)
Scientific notation: 1.002704 × 10⁶
As a duration: 1,002,704 s = 11 days, 14 hours, 31 minutes, 44 seconds

In other bases

ternary (3) 1212221110012

quaternary (4) 3310303100

quinary (5) 224041304

senary (6) 33254052

septenary (7) 11344223

nonary (9) 1787405

undecimal (11) 62538a

duodecimal (12) 404328

tridecimal (13) 291521

tetradecimal (14) 1c15ba

pentadecimal (15) 14c16e

As an angle

1,002,704° = 2,785 × 360° + 104°

104° ≈ 1.815 rad

Compass bearing: ESE (east-southeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓁨𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓏺𓏺𓏺𓏺
Chinese: 一百萬二千七百零四
Chinese (financial): 壹佰萬貳仟柒佰零肆

In other modern scripts

Eastern Arabic ١٠٠٢٧٠٤ Devanagari १००२७०४ Bengali ১০০২৭০৪ Tamil ௧௦௦௨௭௦௪ Thai ๑๐๐๒๗๐๔ Tibetan ༡༠༠༢༧༠༤ Khmer ១០០២៧០៤ Lao ໑໐໐໒໗໐໔ Burmese ၁၀၀၂၇၀၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1002704, here are decompositions:

127 + 1002577 = 1002704
151 + 1002553 = 1002704
181 + 1002523 = 1002704
193 + 1002511 = 1002704
211 + 1002493 = 1002704
223 + 1002481 = 1002704
271 + 1002433 = 1002704
277 + 1002427 = 1002704

Showing the first eight; more decompositions exist.

Hex color

#0F4CD0

RGB(15, 76, 208)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.76.208.

Address: 0.15.76.208
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.76.208

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 1,002,704 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 US1,002,704 on Google Patents ↗ Look up on USPTO ↗