Live analysis

3,504

3,504 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.).

3,504 (three thousand five hundred four) is an even 4-digit number. It is a composite number with 20 divisors, and factors as 2⁴ × 3 × 73. Its proper divisors sum to 5,672, more than the number itself, making it an abundant number. Written other ways, in Roman numerals it is MMMDIV and in binary, 110110110000.

Abundant Number Evil Number Harshad / Niven Nonagonal Practical Number Recamán's Sequence Self Number Semiperfect Number

Interestingness

★ ★ ★ ★ ☆

6 notable facts · grade B

3,492 3,493 3,494 3,495 3,496 3,497 3,498 3,499 3,500 3,501 3,502 3,503 3,504 3,505 3,506 3,507 3,508 3,509 3,510 3,511 3,512 3,513 3,514 3,515 3,516

less more

Properties

Parity: Even
Digit count: 4
Digit sum: 12
Digit product: 0
Digital root: 3
Palindrome: No
Bit width: 12 bits
Reversed: 4,053
Recamán's sequence: a(14,883) = 3,504
Square (n²): 12,278,016
Cube (n³): 43,022,168,064
Divisor count: 20
σ(n) — sum of divisors: 9,176
φ(n) — Euler's totient: 1,152
Sum of prime factors: 84

Primality

Prime factorization: 2 ⁴ × 3 × 73

Nearest primes: 3,499 (−5) · 3,511 (+7)

Divisors & multiples

All divisors (20)

1 · 2 · 3 · 4 · 6 · 8 · 12 · 16 · 24 · 48 · 73 · 146 · 219 · 292 · 438 · 584 · 876 · 1168 · 1752 (half) · 3504

Aliquot sum (sum of proper divisors): 5,672

Factor pairs (a × b = 3,504)

1 × 3504

2 × 1752

3 × 1168

4 × 876

6 × 584

8 × 438

12 × 292

16 × 219

24 × 146

48 × 73

First multiples

3,504 · 7,008 (double) · 10,512 · 14,016 · 17,520 · 21,024 · 24,528 · 28,032 · 31,536 · 35,040

Sums & aliquot sequence

As consecutive integers: 1,167 + 1,168 + 1,169 94 + 95 + … + 125 12 + 13 + … + 84

Aliquot sequence: 3,504 → 5,672 → 4,978 → 2,942 → 1,474 → 974 → 490 → 536 → 484 → 447 → 153 → 81 → 40 → 50 → 43 → 1 → 0 — terminates at zero

Continued fraction of √n

√3,504 = [59; (5, 7, 5, 118)]

Period length 4 — the block in parentheses repeats forever.

Representations

In words: three thousand five hundred four
Ordinal: 3504th
Roman numeral: MMMDIV
Binary: 110110110000
Octal: 6660
Hexadecimal: 0xDB0
Base64: DbA=
One's complement: 62,031 (16-bit)
Scientific notation: 3.504 × 10³
As a duration: 3,504 s = 58 minutes, 24 seconds

In other bases

ternary (3) 11210210

quaternary (4) 312300

quinary (5) 103004

senary (6) 24120

septenary (7) 13134

nonary (9) 4723

undecimal (11) 26a6

duodecimal (12) 2040

tridecimal (13) 1797

tetradecimal (14) 13c4

pentadecimal (15) 1089

As an angle

3,504° = 9 × 360° + 264°

264° ≈ 4.608 rad

Compass bearing: W (west)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓏺𓏺𓏺𓏺
Greek (Milesian): ͵γφδʹ
Mayan (base 20): 𝋨·𝋯·𝋤
Chinese: 三千五百零四
Chinese (financial): 參仟伍佰零肆

In other modern scripts

Eastern Arabic ٣٥٠٤ Devanagari ३५०४ Bengali ৩৫০৪ Tamil ௩௫௦௪ Thai ๓๕๐๔ Tibetan ༣༥༠༤ Khmer ៣៥០៤ Lao ໓໕໐໔ Burmese ၃၅၀၄

Digit at this position in famous constants

π — Pi (π): Digit 3,504 = 1
e — Euler's number (e): Digit 3,504 = 9
φ — Golden ratio (φ): Digit 3,504 = 4
√2 — Pythagoras's (√2): Digit 3,504 = 6
ln 2 — Natural log of 2: Digit 3,504 = 8
γ — Euler-Mascheroni (γ): Digit 3,504 = 1

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 3504, here are decompositions:

5 + 3499 = 3504
13 + 3491 = 3504
37 + 3467 = 3504
41 + 3463 = 3504
43 + 3461 = 3504
47 + 3457 = 3504
71 + 3433 = 3504
97 + 3407 = 3504

Showing the first eight; more decompositions exist.

Unicode codepoint

ධ

Sinhala Letter Mahaapraana Dayanna

U+0DB0

Other letter (Lo)

UTF-8 encoding: E0 B6 B0 (3 bytes).

Lookup U+0DB0 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#000DB0

RGB(0, 13, 176)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.13.176.

Address: 0.0.13.176
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.13.176

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

Calculator-display word

Type 3,504 on a seven-segment calculator, flip it 180°, and the display reads:

hOSE

A staple of calculator humor since pocket calculators put digits in front of bored students.

Musical pitch

Heard as a frequency, 3,504 Hz is closest to:

Concert pitch (A4 = 440 Hz): A7 (3520 Hz, -8¢)
Scientific pitch (C4 = 256 Hz): A7 (3444.3 Hz, +30¢)
Baroque pitch (A4 = 415 Hz): A♯7 (3517.4 Hz, -7¢)

Position in π

The digit sequence 3504 first appears in π at position 5,444 of the decimal expansion (the 5,444ordinal-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 3504 on Pi Search ↗