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4,672

4,672 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.).

4,672 (four thousand six hundred seventy-two) is an even 4-digit number. It is a composite number with 14 divisors, and factors as 2⁶ × 73. Its proper divisors sum to 4,726, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1240.

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

Interestingness

Properties

Parity
Even
Digit count
4
Digit sum
19
Digit product
336
Digital root
1
Palindrome
No
Bit width
13 bits
Reversed
2,764
Recamán's sequence
a(5,396) = 4,672
Square (n²)
21,827,584
Cube (n³)
101,978,472,448
Divisor count
14
σ(n) — sum of divisors
9,398
φ(n) — Euler's totient
2,304
Sum of prime factors
85

Primality

Prime factorization: 2 6 × 73

Nearest primes: 4,663 (−9) · 4,673 (+1)

Divisors & multiples

All divisors (14)
1 · 2 · 4 · 8 · 16 · 32 · 64 · 73 · 146 · 292 · 584 · 1168 · 2336 (half) · 4672
Aliquot sum (sum of proper divisors): 4,726
Factor pairs (a × b = 4,672)
1 × 4672
2 × 2336
4 × 1168
8 × 584
16 × 292
32 × 146
64 × 73
First multiples
4,672 · 9,344 (double) · 14,016 · 18,688 · 23,360 · 28,032 · 32,704 · 37,376 · 42,048 · 46,720

Sums & aliquot sequence

As a sum of two squares: 24² + 64²
As consecutive integers: 28 + 29 + … + 100
Aliquot sequence: 4,672 4,726 2,834 1,786 1,094 550 566 286 218 112 136 134 70 74 40 50 43 — unresolved within range

Continued fraction of √n

√4,672 = [68; (2, 1, 5, 3, 1, 1, 1, 1, 1, 3, 5, 1, 2, 136)]

Period length 14 — the block in parentheses repeats forever.

Representations

In words
four thousand six hundred seventy-two
Ordinal
4672nd
Binary
1001001000000
Octal
11100
Hexadecimal
0x1240
Base64
EkA=
One's complement
60,863 (16-bit)
Scientific notation
4.672 × 10³
As a duration
4,672 s = 1 hour, 17 minutes, 52 seconds
In other bases
ternary (3) 20102001
quaternary (4) 1021000
quinary (5) 122142
senary (6) 33344
septenary (7) 16423
nonary (9) 6361
undecimal (11) 3568
duodecimal (12) 2854
tridecimal (13) 2185
tetradecimal (14) 19ba
pentadecimal (15) 15b7

As an angle

4,672° = 12 × 360° + 352°
352° ≈ 6.144 rad
Compass bearing: N (north)

Historical numeral systems

Babylonian (base 60)
𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic
𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian)
͵δχοβʹ
Mayan (base 20)
𝋫·𝋭·𝋬
Chinese
四千六百七十二
Chinese (financial)
肆仟陸佰柒拾貳
In other modern scripts
Eastern Arabic ٤٦٧٢ Devanagari ४६७२ Bengali ৪৬৭২ Tamil ௪௬௭௨ Thai ๔๖๗๒ Tibetan ༤༦༧༢ Khmer ៤៦៧២ Lao ໔໖໗໒ Burmese ၄၆၇၂

Digit at this position in famous constants

π — Pi (π)
Digit 4,672 = 4
e — Euler's number (e)
Digit 4,672 = 8
φ — Golden ratio (φ)
Digit 4,672 = 9
√2 — Pythagoras's (√2)
Digit 4,672 = 8
ln 2 — Natural log of 2
Digit 4,672 = 1
γ — Euler-Mascheroni (γ)
Digit 4,672 = 8

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 4672, here are decompositions:

  • 23 + 4649 = 4672
  • 29 + 4643 = 4672
  • 89 + 4583 = 4672
  • 149 + 4523 = 4672
  • 179 + 4493 = 4672
  • 191 + 4481 = 4672
  • 251 + 4421 = 4672
  • 263 + 4409 = 4672

Showing the first eight; more decompositions exist.

Unicode codepoint
Ethiopic Syllable Qa
U+1240
Other letter (Lo)

UTF-8 encoding: E1 89 80 (3 bytes).

Hex color
#001240
RGB(0, 18, 64)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.18.64.

Address
0.0.18.64
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.18.64

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

Musical pitch

Heard as a frequency, 4,672 Hz is closest to:

  • Concert pitch (A4 = 440 Hz): D8 (4698.6 Hz, -10¢)
  • Scientific pitch (C4 = 256 Hz): D8 (4597.6 Hz, +28¢)
  • Baroque pitch (A4 = 415 Hz): D♯8 (4695.2 Hz, -9¢)
Position in π

The digit sequence 4672 first appears in π at position 1,581 of the decimal expansion (the 1,581ordinal-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.

Related reading