Live analysis

4,640

4,640 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.).

4,640 (four thousand six hundred forty) is an even 4-digit number. It is a composite number with 24 divisors, and factors as 2⁵ × 5 × 29. Its proper divisors sum to 6,700, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1220.

Abundant Number Gapful Number Happy Number Odious Number Pernicious Number Practical Number Recamán's Sequence Semiperfect Number

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

4,628 4,629 4,630 4,631 4,632 4,633 4,634 4,635 4,636 4,637 4,638 4,639 4,640 4,641 4,642 4,643 4,644 4,645 4,646 4,647 4,648 4,649 4,650 4,651 4,652

less more

Properties

Parity: Even
Digit count: 4
Digit sum: 14
Digit product: 0
Digital root: 5
Palindrome: No
Bit width: 13 bits
Reversed: 464
Recamán's sequence: a(5,460) = 4,640
Square (n²): 21,529,600
Cube (n³): 99,897,344,000
Divisor count: 24
σ(n) — sum of divisors: 11,340
φ(n) — Euler's totient: 1,792
Sum of prime factors: 44

Primality

Prime factorization: 2 ⁵ × 5 × 29

Nearest primes: 4,639 (−1) · 4,643 (+3)

Divisors & multiples

All divisors (24)

1 · 2 · 4 · 5 · 8 · 10 · 16 · 20 · 29 · 32 · 40 · 58 · 80 · 116 · 145 · 160 · 232 · 290 · 464 · 580 · 928 · 1160 · 2320 (half) · 4640

Aliquot sum (sum of proper divisors): 6,700

Factor pairs (a × b = 4,640)

1 × 4640

2 × 2320

4 × 1160

5 × 928

8 × 580

10 × 464

16 × 290

20 × 232

29 × 160

32 × 145

40 × 116

58 × 80

First multiples

4,640 · 9,280 (double) · 13,920 · 18,560 · 23,200 · 27,840 · 32,480 · 37,120 · 41,760 · 46,400

Sums & aliquot sequence

As a sum of two squares: 4² + 68² = 44² + 52²

As consecutive integers: 926 + 927 + 928 + 929 + 930 146 + 147 + … + 174 41 + 42 + … + 104

Aliquot sequence: 4,640 → 6,700 → 8,056 → 8,144 → 7,666 → 3,836 → 3,892 → 3,948 → 6,804 → 13,580 → 19,348 → 19,404 → 42,840 → 125,640 → 283,860 → 633,420 → 1,562,004 — unresolved within range

Continued fraction of √n

√4,640 = [68; (8, 1, 1, 33, 1, 1, 8, 136)]

Period length 8 — the block in parentheses repeats forever.

Representations

In words: four thousand six hundred forty
Ordinal: 4640th
Binary: 1001000100000
Octal: 11040
Hexadecimal: 0x1220
Base64: EiA=
One's complement: 60,895 (16-bit)
Scientific notation: 4.64 × 10³
As a duration: 4,640 s = 1 hour, 17 minutes, 20 seconds

In other bases

ternary (3) 20100212

quaternary (4) 1020200

quinary (5) 122030

senary (6) 33252

septenary (7) 16346

nonary (9) 6325

undecimal (11) 3539

duodecimal (12) 2828

tridecimal (13) 215c

tetradecimal (14) 1996

pentadecimal (15) 1595

As an angle

4,640° = 12 × 360° + 320°

320° ≈ 5.585 rad

Compass bearing: NW (northwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋
Egyptian hieroglyphic: 𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆
Greek (Milesian): ͵δχμʹ
Mayan (base 20): 𝋫·𝋬·𝋠
Chinese: 四千六百四十
Chinese (financial): 肆仟陸佰肆拾

In other modern scripts

Eastern Arabic ٤٦٤٠ Devanagari ४६४० Bengali ৪৬৪০ Tamil ௪௬௪௦ Thai ๔๖๔๐ Tibetan ༤༦༤༠ Khmer ៤៦៤០ Lao ໔໖໔໐ Burmese ၄၆၄၀

Digit at this position in famous constants

π — Pi (π): Digit 4,640 = 2
e — Euler's number (e): Digit 4,640 = 3
φ — Golden ratio (φ): Digit 4,640 = 2
√2 — Pythagoras's (√2): Digit 4,640 = 1
ln 2 — Natural log of 2: Digit 4,640 = 2
γ — Euler-Mascheroni (γ): Digit 4,640 = 8

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 4640, here are decompositions:

3 + 4637 = 4640
19 + 4621 = 4640
37 + 4603 = 4640
43 + 4597 = 4640
73 + 4567 = 4640
79 + 4561 = 4640
127 + 4513 = 4640
157 + 4483 = 4640

Showing the first eight; more decompositions exist.

Unicode codepoint

ሠ

Ethiopic Syllable Sza

U+1220

Other letter (Lo)

UTF-8 encoding: E1 88 A0 (3 bytes).

Lookup U+1220 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#001220

RGB(0, 18, 32)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.18.32.

Address: 0.0.18.32
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.18.32

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

Musical pitch

Heard as a frequency, 4,640 Hz is closest to:

Concert pitch (A4 = 440 Hz): D8 (4698.6 Hz, -22¢)
Scientific pitch (C4 = 256 Hz): D8 (4597.6 Hz, +16¢)
Baroque pitch (A4 = 415 Hz): D♯8 (4695.2 Hz, -20¢)

Position in π

The digit sequence 4640 first appears in π at position 6,331 of the decimal expansion (the 6,331ordinal-suffix:st 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 4640 on Pi Search ↗