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4,746

4,746 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.).

4,746 (four thousand seven hundred forty-six) is an even 4-digit number. It is a composite number with 16 divisors, and factors as 2 × 3 × 7 × 113. Its proper divisors sum to 6,198, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x128A.

Abundant Number Arithmetic Number Cube-Free Harshad / Niven Odious Number Pernicious Number Recamán's Sequence Semiperfect Number Squarefree

Interestingness

Properties

Parity
Even
Digit count
4
Digit sum
21
Digit product
672
Digital root
3
Palindrome
No
Bit width
13 bits
Reversed
6,474
Recamán's sequence
a(13,663) = 4,746
Square (n²)
22,524,516
Cube (n³)
106,901,352,936
Divisor count
16
σ(n) — sum of divisors
10,944
φ(n) — Euler's totient
1,344
Sum of prime factors
125

Primality

Prime factorization: 2 × 3 × 7 × 113

Nearest primes: 4,733 (−13) · 4,751 (+5)

Divisors & multiples

All divisors (16)
1 · 2 · 3 · 6 · 7 · 14 · 21 · 42 · 113 · 226 · 339 · 678 · 791 · 1582 · 2373 (half) · 4746
Aliquot sum (sum of proper divisors): 6,198
Factor pairs (a × b = 4,746)
1 × 4746
2 × 2373
3 × 1582
6 × 791
7 × 678
14 × 339
21 × 226
42 × 113
First multiples
4,746 · 9,492 (double) · 14,238 · 18,984 · 23,730 · 28,476 · 33,222 · 37,968 · 42,714 · 47,460

Sums & aliquot sequence

As consecutive integers: 1,581 + 1,582 + 1,583 1,185 + 1,186 + 1,187 + 1,188 675 + 676 + … + 681 390 + 391 + … + 401
Aliquot sequence: 4,746 6,198 6,210 11,070 19,170 32,670 63,090 101,178 175,878 215,082 332,118 387,510 542,586 641,382 824,730 1,210,854 1,210,866 — unresolved within range

Continued fraction of √n

√4,746 = [68; (1, 8, 5, 5, 3, 5, 1, 18, 1, 5, 3, 5, 5, 8, 1, 136)]

Period length 16 — the block in parentheses repeats forever.

Representations

In words
four thousand seven hundred forty-six
Ordinal
4746th
Binary
1001010001010
Octal
11212
Hexadecimal
0x128A
Base64
Eoo=
One's complement
60,789 (16-bit)
Scientific notation
4.746 × 10³
As a duration
4,746 s = 1 hour, 19 minutes, 6 seconds
In other bases
ternary (3) 20111210
quaternary (4) 1022022
quinary (5) 122441
senary (6) 33550
septenary (7) 16560
nonary (9) 6453
undecimal (11) 3625
duodecimal (12) 28b6
tridecimal (13) 2211
tetradecimal (14) 1a30
pentadecimal (15) 1616

As an angle

4,746° = 13 × 360° + 66°
66° ≈ 1.152 rad
Compass bearing: ENE (east-northeast)

Historical numeral systems

Babylonian (base 60)
𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵δψμϛʹ
Mayan (base 20)
𝋫·𝋱·𝋦
Chinese
四千七百四十六
Chinese (financial)
肆仟柒佰肆拾陸
In other modern scripts
Eastern Arabic ٤٧٤٦ Devanagari ४७४६ Bengali ৪৭৪৬ Tamil ௪௭௪௬ Thai ๔๗๔๖ Tibetan ༤༧༤༦ Khmer ៤៧៤៦ Lao ໔໗໔໖ Burmese ၄၇၄၆

Digit at this position in famous constants

π — Pi (π)
Digit 4,746 = 4
e — Euler's number (e)
Digit 4,746 = 6
φ — Golden ratio (φ)
Digit 4,746 = 0
√2 — Pythagoras's (√2)
Digit 4,746 = 4
ln 2 — Natural log of 2
Digit 4,746 = 1
γ — Euler-Mascheroni (γ)
Digit 4,746 = 9

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 4746, here are decompositions:

  • 13 + 4733 = 4746
  • 17 + 4729 = 4746
  • 23 + 4723 = 4746
  • 43 + 4703 = 4746
  • 67 + 4679 = 4746
  • 73 + 4673 = 4746
  • 83 + 4663 = 4746
  • 89 + 4657 = 4746

Showing the first eight; more decompositions exist.

Unicode codepoint
Ethiopic Syllable Xwi
U+128A
Other letter (Lo)

UTF-8 encoding: E1 8A 8A (3 bytes).

Hex color
#00128A
RGB(0, 18, 138)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.18.138.

Address
0.0.18.138
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.18.138

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

Musical pitch

Heard as a frequency, 4,746 Hz is closest to:

  • Concert pitch (A4 = 440 Hz): D8 (4698.6 Hz, +17¢)
  • Scientific pitch (C4 = 256 Hz): D♯8 (4871 Hz, -45¢ — about midway to D8)
  • Baroque pitch (A4 = 415 Hz): D♯8 (4695.2 Hz, +19¢)
Position in π

The digit sequence 4746 first appears in π at position 6,499 of the decimal expansion (the 6,499ordinal-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.

Related reading

  • Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.