Live analysis

3,825

3,825 is a composite number, odd.

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.).

3,825 (three thousand eight hundred twenty-five) is an odd 4-digit number. It is a composite number with 18 divisors, and factors as 3² × 5² × 17. Written other ways, in Roman numerals it is MMMDCCCXXV and in binary, 111011110001.

Arithmetic Number Cube-Free Deficient Number Evil Number Recamán's Sequence

Interestingness

★ ☆ ☆ ☆ ☆

3 notable facts · grade F

3,813 3,814 3,815 3,816 3,817 3,818 3,819 3,820 3,821 3,822 3,823 3,824 3,825 3,826 3,827 3,828 3,829 3,830 3,831 3,832 3,833 3,834 3,835 3,836 3,837

less more

Properties

Parity: Odd
Digit count: 4
Digit sum: 18
Digit product: 240
Digital root: 9
Palindrome: No
Bit width: 12 bits
Reversed: 5,283
Recamán's sequence: a(6,278) = 3,825
Square (n²): 14,630,625
Cube (n³): 55,962,140,625
Divisor count: 18
σ(n) — sum of divisors: 7,254
φ(n) — Euler's totient: 1,920
Sum of prime factors: 33

Primality

Prime factorization: 3 ² × 5 ² × 17

Nearest primes: 3,823 (−2) · 3,833 (+8)

Divisors & multiples

All divisors (18)

1 · 3 · 5 · 9 · 15 · 17 · 25 · 45 · 51 · 75 · 85 · 153 · 225 · 255 · 425 · 765 · 1275 · 3825

Aliquot sum (sum of proper divisors): 3,429

Factor pairs (a × b = 3,825)

1 × 3825

3 × 1275

5 × 765

9 × 425

15 × 255

17 × 225

25 × 153

45 × 85

51 × 75

First multiples

3,825 · 7,650 (double) · 11,475 · 15,300 · 19,125 · 22,950 · 26,775 · 30,600 · 34,425 · 38,250

Sums & aliquot sequence

As a sum of two squares: 15² + 60² = 24² + 57² = 39² + 48²

As consecutive integers: 1,912 + 1,913 1,274 + 1,275 + 1,276 763 + 764 + 765 + 766 + 767 635 + 636 + 637 + 638 + 639 + 640

Aliquot sequence: 3,825 → 3,429 → 1,691 → 109 → 1 → 0 — terminates at zero

Continued fraction of √n

√3,825 = [61; (1, 5, 1, 1, 13, 4, 1, 6, 1, 12, 1, 6, 1, 4, 13, 1, 1, 5, 1, 122)]

Period length 20 — the block in parentheses repeats forever.

Representations

In words: three thousand eight hundred twenty-five
Ordinal: 3825th
Roman numeral: MMMDCCCXXV
Binary: 111011110001
Octal: 7361
Hexadecimal: 0xEF1
Base64: DvE=
One's complement: 61,710 (16-bit)
Scientific notation: 3.825 × 10³
As a duration: 3,825 s = 1 hour, 3 minutes, 45 seconds

In other bases

ternary (3) 12020200

quaternary (4) 323301

quinary (5) 110300

senary (6) 25413

septenary (7) 14103

nonary (9) 5220

undecimal (11) 2968

duodecimal (12) 2269

tridecimal (13) 1983

tetradecimal (14) 1573

pentadecimal (15) 1200

As an angle

3,825° = 10 × 360° + 225°

225° ≈ 3.927 rad

Compass bearing: SW (southwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹 𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓏺𓏺𓏺𓏺𓏺
Greek (Milesian): ͵γωκεʹ
Mayan (base 20): 𝋩·𝋫·𝋥
Chinese: 三千八百二十五
Chinese (financial): 參仟捌佰貳拾伍

In other modern scripts

Eastern Arabic ٣٨٢٥ Devanagari ३८२५ Bengali ৩৮২৫ Tamil ௩௮௨௫ Thai ๓๘๒๕ Tibetan ༣༨༢༥ Khmer ៣៨២៥ Lao ໓໘໒໕ Burmese ၃၈၂၅

Digit at this position in famous constants

π — Pi (π): Digit 3,825 = 2
e — Euler's number (e): Digit 3,825 = 0
φ — Golden ratio (φ): Digit 3,825 = 1
√2 — Pythagoras's (√2): Digit 3,825 = 3
ln 2 — Natural log of 2: Digit 3,825 = 8
γ — Euler-Mascheroni (γ): Digit 3,825 = 9

Also seen as

Hex color

#000EF1

RGB(0, 14, 241)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.14.241.

Address: 0.0.14.241
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.14.241

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

Musical pitch

Heard as a frequency, 3,825 Hz is closest to:

Concert pitch (A4 = 440 Hz): A♯7 (3729.3 Hz, +44¢)
Scientific pitch (C4 = 256 Hz): B7 (3866.1 Hz, -19¢)
Baroque pitch (A4 = 415 Hz): B7 (3726.6 Hz, +45¢ — about midway to C8)

Position in π

The digit sequence 3825 first appears in π at position 61,286 of the decimal expansion (the 61,286ordinal-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 3825 on Pi Search ↗