Live analysis

4,240

4,240 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.).

4,240 (four thousand two hundred forty) is an even 4-digit number. It is a composite number with 20 divisors, and factors as 2⁴ × 5 × 53. Its proper divisors sum to 5,804, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1090.

Abundant Number Gapful Number Harshad / Niven Leyland Number Odious Number Pernicious Number Practical Number Recamán's Sequence Refactorable Number Semiperfect Number

Interestingness

★ ★ ★ ★ ☆

7 notable facts · grade B

4,228 4,229 4,230 4,231 4,232 4,233 4,234 4,235 4,236 4,237 4,238 4,239 4,240 4,241 4,242 4,243 4,244 4,245 4,246 4,247 4,248 4,249 4,250 4,251 4,252

less more

Properties

Parity: Even
Digit count: 4
Digit sum: 10
Digit product: 0
Digital root: 1
Palindrome: No
Bit width: 13 bits
Reversed: 424
Recamán's sequence: a(54,607) = 4,240
Square (n²): 17,977,600
Cube (n³): 76,225,024,000
Divisor count: 20
σ(n) — sum of divisors: 10,044
φ(n) — Euler's totient: 1,664
Sum of prime factors: 66

Primality

Prime factorization: 2 ⁴ × 5 × 53

Nearest primes: 4,231 (−9) · 4,241 (+1)

Divisors & multiples

All divisors (20)

1 · 2 · 4 · 5 · 8 · 10 · 16 · 20 · 40 · 53 · 80 · 106 · 212 · 265 · 424 · 530 · 848 · 1060 · 2120 (half) · 4240

Aliquot sum (sum of proper divisors): 5,804

Factor pairs (a × b = 4,240)

1 × 4240

2 × 2120

4 × 1060

5 × 848

8 × 530

10 × 424

16 × 265

20 × 212

40 × 106

53 × 80

First multiples

4,240 · 8,480 (double) · 12,720 · 16,960 · 21,200 · 25,440 · 29,680 · 33,920 · 38,160 · 42,400

Sums & aliquot sequence

As a sum of two squares: 12² + 64² = 44² + 48²

As consecutive integers: 846 + 847 + 848 + 849 + 850 117 + 118 + … + 148 54 + 55 + … + 106

Aliquot sequence: 4,240 → 5,804 → 4,360 → 5,540 → 6,136 → 6,464 → 6,490 → 6,470 → 5,194 → 4,040 → 5,140 → 5,696 → 5,734 → 3,194 → 1,600 → 2,337 → 1,023 — unresolved within range

Continued fraction of √n

√4,240 = [65; (8, 1, 2, 14, 8, 14, 2, 1, 8, 130)]

Period length 10 — the block in parentheses repeats forever.

Representations

In words: four thousand two hundred forty
Ordinal: 4240th
Binary: 1000010010000
Octal: 10220
Hexadecimal: 0x1090
Base64: EJA=
One's complement: 61,295 (16-bit)
Scientific notation: 4.24 × 10³
As a duration: 4,240 s = 1 hour, 10 minutes, 40 seconds

In other bases

ternary (3) 12211001

quaternary (4) 1002100

quinary (5) 113430

senary (6) 31344

septenary (7) 15235

nonary (9) 5731

undecimal (11) 3205

duodecimal (12) 2554

tridecimal (13) 1c12

tetradecimal (14) 178c

pentadecimal (15) 13ca

As an angle

4,240° = 11 × 360° + 280°

280° ≈ 4.887 rad

Compass bearing: W (west)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹 𒌋 𒌋𒌋𒌋𒌋
Egyptian hieroglyphic: 𓆼𓆼𓆼𓆼𓍢𓍢𓎆𓎆𓎆𓎆
Greek (Milesian): ͵δσμʹ
Mayan (base 20): 𝋪·𝋬·𝋠
Chinese: 四千二百四十
Chinese (financial): 肆仟貳佰肆拾

In other modern scripts

Eastern Arabic ٤٢٤٠ Devanagari ४२४० Bengali ৪২৪০ Tamil ௪௨௪௦ Thai ๔๒๔๐ Tibetan ༤༢༤༠ Khmer ៤២៤០ Lao ໔໒໔໐ Burmese ၄၂၄၀

Digit at this position in famous constants

π — Pi (π): Digit 4,240 = 8
e — Euler's number (e): Digit 4,240 = 3
φ — Golden ratio (φ): Digit 4,240 = 6
√2 — Pythagoras's (√2): Digit 4,240 = 1
ln 2 — Natural log of 2: Digit 4,240 = 5
γ — Euler-Mascheroni (γ): Digit 4,240 = 1

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 4240, here are decompositions:

11 + 4229 = 4240
23 + 4217 = 4240
29 + 4211 = 4240
83 + 4157 = 4240
101 + 4139 = 4240
107 + 4133 = 4240
113 + 4127 = 4240
149 + 4091 = 4240

Showing the first eight; more decompositions exist.

Unicode codepoint

႐

Myanmar Shan Digit Zero

U+1090

Decimal digit (Nd)

UTF-8 encoding: E1 82 90 (3 bytes).

Lookup U+1090 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#001090

RGB(0, 16, 144)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.16.144.

Address: 0.0.16.144
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.16.144

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

Musical pitch

Heard as a frequency, 4,240 Hz is closest to:

Concert pitch (A4 = 440 Hz): C8 (4186 Hz, +22¢)
Scientific pitch (C4 = 256 Hz): C♯8 (4339.6 Hz, -40¢)
Baroque pitch (A4 = 415 Hz): C♯8 (4182.9 Hz, +23¢)

Position in π

The digit sequence 4240 first appears in π at position 10,626 of the decimal expansion (the 10,626ordinal-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 4240 on Pi Search ↗