Live analysis

3,500

3,500 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.).

3,500 (three thousand five hundred) is an even 4-digit number. It is a composite number with 24 divisors, and factors as 2² × 5³ × 7. Its proper divisors sum to 5,236, more than the number itself, making it an abundant number. Written other ways, in Roman numerals it is MMMD and in binary, 110110101100.

Abundant Number Arithmetic Number Odious Number Pernicious Number Practical Number Recamán's Sequence Semiperfect Number

Interestingness

★ ★ ☆ ☆ ☆

4 notable facts · grade D

3,488 3,489 3,490 3,491 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

less more

Properties

Parity: Even
Digit count: 4
Digit sum: 8
Digit product: 0
Digital root: 8
Palindrome: No
Bit width: 12 bits
Reversed: 53
Recamán's sequence: a(14,891) = 3,500
Square (n²): 12,250,000
Cube (n³): 42,875,000,000
Divisor count: 24
σ(n) — sum of divisors: 8,736
φ(n) — Euler's totient: 1,200
Sum of prime factors: 26

Primality

Prime factorization: 2 ² × 5 ³ × 7

Nearest primes: 3,499 (−1) · 3,511 (+11)

Divisors & multiples

All divisors (24)

1 · 2 · 4 · 5 · 7 · 10 · 14 · 20 · 25 · 28 · 35 · 50 · 70 · 100 · 125 · 140 · 175 · 250 · 350 · 500 · 700 · 875 · 1750 (half) · 3500

Aliquot sum (sum of proper divisors): 5,236

Factor pairs (a × b = 3,500)

1 × 3500

2 × 1750

4 × 875

5 × 700

7 × 500

10 × 350

14 × 250

20 × 175

25 × 140

28 × 125

35 × 100

50 × 70

First multiples

3,500 · 7,000 (double) · 10,500 · 14,000 · 17,500 · 21,000 · 24,500 · 28,000 · 31,500 · 35,000

Sums & aliquot sequence

As a sum of two cubes: 5³ + 15³

As consecutive integers: 698 + 699 + 700 + 701 + 702 497 + 498 + … + 503 434 + 435 + … + 441 128 + 129 + … + 152

Aliquot sequence: 3,500 → 5,236 → 6,860 → 9,940 → 14,252 → 14,308 → 15,218 → 10,894 → 6,746 → 3,376 → 3,196 → 2,852 → 2,524 → 1,900 → 2,440 → 3,140 → 3,496 — unresolved within range

Continued fraction of √n

√3,500 = [59; (6, 4, 1, 1, 3, 3, 1, 3, 1, 28, 1, 3, 1, 3, 3, 1, 1, 4, 6, 118)]

Period length 20 — the block in parentheses repeats forever.

Representations

In words: three thousand five hundred
Ordinal: 3500th
Roman numeral: MMMD
Binary: 110110101100
Octal: 6654
Hexadecimal: 0xDAC
Base64: Daw=
One's complement: 62,035 (16-bit)
Scientific notation: 3.5 × 10³
As a duration: 3,500 s = 58 minutes, 20 seconds

In other bases

ternary (3) 11210122

quaternary (4) 312230

quinary (5) 103000

senary (6) 24112

septenary (7) 13130

nonary (9) 4718

undecimal (11) 26a2

duodecimal (12) 2038

tridecimal (13) 1793

tetradecimal (14) 13c0

pentadecimal (15) 1085

As an angle

3,500° = 9 × 360° + 260°

260° ≈ 4.538 rad

Compass bearing: W (west)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋
Egyptian hieroglyphic: 𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢
Greek (Milesian): ͵γφʹ
Mayan (base 20): 𝋨·𝋯·𝋠
Chinese: 三千五百
Chinese (financial): 參仟伍佰

In other modern scripts

Eastern Arabic ٣٥٠٠ Devanagari ३५०० Bengali ৩৫০০ Tamil ௩௫௦௦ Thai ๓๕๐๐ Tibetan ༣༥༠༠ Khmer ៣៥០០ Lao ໓໕໐໐ Burmese ၃၅၀၀

Digit at this position in famous constants

π — Pi (π): Digit 3,500 = 1
e — Euler's number (e): Digit 3,500 = 2
φ — Golden ratio (φ): Digit 3,500 = 3
√2 — Pythagoras's (√2): Digit 3,500 = 6
ln 2 — Natural log of 2: Digit 3,500 = 6
γ — Euler-Mascheroni (γ): Digit 3,500 = 8

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 3500, here are decompositions:

31 + 3469 = 3500
37 + 3463 = 3500
43 + 3457 = 3500
67 + 3433 = 3500
109 + 3391 = 3500
127 + 3373 = 3500
139 + 3361 = 3500
157 + 3343 = 3500

Showing the first eight; more decompositions exist.

Unicode codepoint

ඬ

Sinhala Letter Sanyaka Ddayanna

U+0DAC

Other letter (Lo)

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

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

Hex color

#000DAC

RGB(0, 13, 172)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.13.172.

Address: 0.0.13.172
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.13.172

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

Calculator-display word

Type 3,500 on a seven-segment calculator, flip it 180°, and the display reads:

OOSE

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

Musical pitch

Heard as a frequency, 3,500 Hz is closest to:

Concert pitch (A4 = 440 Hz): A7 (3520 Hz, -10¢)
Scientific pitch (C4 = 256 Hz): A7 (3444.3 Hz, +28¢)
Baroque pitch (A4 = 415 Hz): A♯7 (3517.4 Hz, -9¢)

Position in π

The digit sequence 3500 first appears in π at position 21,028 of the decimal expansion (the 21,028ordinal-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 3500 on Pi Search ↗