Live analysis

491,004

491,004 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.).

491,004 (four hundred ninety-one thousand four) is an even 6-digit number. It is a composite number with 36 divisors, and factors as 2² × 3² × 23 × 593. Its proper divisors sum to 806,292, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x77DFC.

Abundant Number Arithmetic Number Cube-Free Harshad / Niven Odious Number Practical Number Refactorable Number Semiperfect Number

Interestingness

★ ★ ★ ★ ☆

6 notable facts · grade B

490,992 490,993 490,994 490,995 490,996 490,997 490,998 490,999 491,000 491,001 491,002 491,003 491,004 491,005 491,006 491,007 491,008 491,009 491,010 491,011 491,012 491,013 491,014 491,015 491,016

less more

Properties

Parity: Even
Digit count: 6
Digit sum: 18
Digit product: 0
Digital root: 9
Palindrome: No
Bit width: 19 bits
Reversed: 400,194
Square (n²): 241,084,928,016
Cube (n³): 118,373,663,995,568,064
Divisor count: 36
σ(n) — sum of divisors: 1,297,296
φ(n) — Euler's totient: 156,288
Sum of prime factors: 626

Primality

Prime factorization: 2 ² × 3 ² × 23 × 593

Nearest primes: 491,003 (−1) · 491,039 (+35)

Divisors & multiples

All divisors (36)

1 · 2 · 3 · 4 · 6 · 9 · 12 · 18 · 23 · 36 · 46 · 69 · 92 · 138 · 207 · 276 · 414 · 593 · 828 · 1186 · 1779 · 2372 · 3558 · 5337 · 7116 · 10674 · 13639 · 21348 · 27278 · 40917 · 54556 · 81834 · 122751 · 163668 · 245502 (half) · 491004

Aliquot sum (sum of proper divisors): 806,292

Factor pairs (a × b = 491,004)

1 × 491004

2 × 245502

3 × 163668

4 × 122751

6 × 81834

9 × 54556

12 × 40917

18 × 27278

23 × 21348

36 × 13639

46 × 10674

69 × 7116

92 × 5337

138 × 3558

207 × 2372

276 × 1779

414 × 1186

593 × 828

First multiples

491,004 · 982,008 (double) · 1,473,012 · 1,964,016 · 2,455,020 · 2,946,024 · 3,437,028 · 3,928,032 · 4,419,036 · 4,910,040

Sums & aliquot sequence

As consecutive integers: 163,667 + 163,668 + 163,669 61,372 + 61,373 + … + 61,379 54,552 + 54,553 + … + 54,560 21,337 + 21,338 + … + 21,359

Aliquot sequence: 491,004 → 806,292 → 1,231,926 → 1,394,634 → 1,394,646 → 1,880,346 → 2,169,798 → 2,213,178 → 2,615,718 → 3,835,482 → 5,564,838 → 5,722,458 → 8,378,022 → 8,787,210 → 12,562,230 → 19,175,370 → 29,269,110 — unresolved within range

Continued fraction of √n

√491,004 = [700; (1, 2, 1, 1, 7, 1, 1, 1, 1, 1, 16, 3, 1, 4, 1, 1, 1, 1, 1, 1, 14, 1, 1, 1, …)]

Period length 42 — the block in parentheses repeats forever.

Representations

In words: four hundred ninety-one thousand four
Ordinal: 491004th
Binary: 1110111110111111100
Octal: 1676774
Hexadecimal: 0x77DFC
Base64: B338
One's complement: 4,294,476,291 (32-bit)
Scientific notation: 4.91004 × 10⁵
As a duration: 491,004 s = 5 days, 16 hours, 23 minutes, 24 seconds

In other bases

ternary (3) 220221112100

quaternary (4) 1313313330

quinary (5) 111203004

senary (6) 14305100

septenary (7) 4113333

nonary (9) 827470

undecimal (11) 305998

duodecimal (12) 1b8190

tridecimal (13) 142647

tetradecimal (14) cad1a

pentadecimal (15) 9a739

As an angle

491,004° = 1,363 × 360° + 324°

324° ≈ 5.655 rad

Compass bearing: NW (northwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓏺𓏺𓏺𓏺
Greek (Milesian): ͵υϟαδʹ
Chinese: 四十九萬一千零四
Chinese (financial): 肆拾玖萬壹仟零肆

In other modern scripts

Eastern Arabic ٤٩١٠٠٤ Devanagari ४९१००४ Bengali ৪৯১০০৪ Tamil ௪௯௧௦௦௪ Thai ๔๙๑๐๐๔ Tibetan ༤༩༡༠༠༤ Khmer ៤៩១០០៤ Lao ໔໙໑໐໐໔ Burmese ၄၉၁၀၀၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 491004, here are decompositions:

11 + 490993 = 491004
13 + 490991 = 491004
37 + 490967 = 491004
47 + 490957 = 491004
53 + 490951 = 491004
67 + 490937 = 491004
83 + 490921 = 491004
113 + 490891 = 491004

Showing the first eight; more decompositions exist.

Hex color

#077DFC

RGB(7, 125, 252)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.125.252.

Address: 0.7.125.252
Class: reserved
IPv4-mapped IPv6: ::ffff:0.7.125.252

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 491,004 and was likely granted around 1892.

Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.

Look up US491,004 on Google Patents ↗ Look up on USPTO ↗

Position in π

The digit sequence 491004 first appears in π at position 37,760 of the decimal expansion (the 37,760ordinal-suffix:th 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 491004 on Pi Search ↗