Live analysis

4,428

4,428 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.).

4,428 (four thousand four hundred twenty-eight) is an even 4-digit number. It is a composite number with 24 divisors, and factors as 2² × 3³ × 41. Its proper divisors sum to 7,332, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x114C.

Abundant Number Arithmetic Number Happy Number Harshad / Niven Odious Number Pernicious Number Practical Number Recamán's Sequence Self Number Semiperfect Number Smith Number

Interestingness

★ ★ ★ ★ ★

8 notable facts · grade A

4,416 4,417 4,418 4,419 4,420 4,421 4,422 4,423 4,424 4,425 4,426 4,427 4,428 4,429 4,430 4,431 4,432 4,433 4,434 4,435 4,436 4,437 4,438 4,439 4,440

less more

Properties

Parity: Even
Digit count: 4
Digit sum: 18
Digit product: 256
Digital root: 9
Palindrome: No
Bit width: 13 bits
Reversed: 8,244
Recamán's sequence: a(5,884) = 4,428
Square (n²): 19,607,184
Cube (n³): 86,820,610,752
Divisor count: 24
σ(n) — sum of divisors: 11,760
φ(n) — Euler's totient: 1,440
Sum of prime factors: 54

Primality

Prime factorization: 2 ² × 3 ³ × 41

Nearest primes: 4,423 (−5) · 4,441 (+13)

Divisors & multiples

All divisors (24)

1 · 2 · 3 · 4 · 6 · 9 · 12 · 18 · 27 · 36 · 41 · 54 · 82 · 108 · 123 · 164 · 246 · 369 · 492 · 738 · 1107 · 1476 · 2214 (half) · 4428

Aliquot sum (sum of proper divisors): 7,332

Factor pairs (a × b = 4,428)

1 × 4428

2 × 2214

3 × 1476

4 × 1107

6 × 738

9 × 492

12 × 369

18 × 246

27 × 164

36 × 123

41 × 108

54 × 82

First multiples

4,428 · 8,856 (double) · 13,284 · 17,712 · 22,140 · 26,568 · 30,996 · 35,424 · 39,852 · 44,280

Sums & aliquot sequence

As consecutive integers: 1,475 + 1,476 + 1,477 550 + 551 + … + 557 488 + 489 + … + 496 173 + 174 + … + 196

Aliquot sequence: 4,428 → 7,332 → 11,484 → 21,276 → 34,164 → 60,112 → 73,126 → 36,566 → 19,594 → 10,394 → 5,200 → 8,254 → 4,130 → 4,510 → 4,562 → 2,284 → 1,720 — unresolved within range

Continued fraction of √n

√4,428 = [66; (1, 1, 5, 3, 1, 1, 16, 14, 1, 2, 1, 1, 1, 32, 1, 1, 1, 2, 1, 14, 16, 1, 1, 3, …)]

Period length 28 — the block in parentheses repeats forever.

Representations

In words: four thousand four hundred twenty-eight
Ordinal: 4428th
Binary: 1000101001100
Octal: 10514
Hexadecimal: 0x114C
Base64: EUw=
One's complement: 61,107 (16-bit)
Scientific notation: 4.428 × 10³
As a duration: 4,428 s = 1 hour, 13 minutes, 48 seconds

In other bases

ternary (3) 20002000

quaternary (4) 1011030

quinary (5) 120203

senary (6) 32300

septenary (7) 15624

nonary (9) 6060

undecimal (11) 3366

duodecimal (12) 2690

tridecimal (13) 2028

tetradecimal (14) 1884

pentadecimal (15) 14a3

As an angle

4,428° = 12 × 360° + 108°

108° ≈ 1.885 rad

Compass bearing: ESE (east-southeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹 𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian): ͵δυκηʹ
Mayan (base 20): 𝋫·𝋡·𝋨
Chinese: 四千四百二十八
Chinese (financial): 肆仟肆佰貳拾捌

In other modern scripts

Eastern Arabic ٤٤٢٨ Devanagari ४४२८ Bengali ৪৪২৮ Tamil ௪௪௨௮ Thai ๔๔๒๘ Tibetan ༤༤༢༨ Khmer ៤៤២៨ Lao ໔໔໒໘ Burmese ၄၄၂၈

Digit at this position in famous constants

π — Pi (π): Digit 4,428 = 5
e — Euler's number (e): Digit 4,428 = 0
φ — Golden ratio (φ): Digit 4,428 = 4
√2 — Pythagoras's (√2): Digit 4,428 = 5
ln 2 — Natural log of 2: Digit 4,428 = 2
γ — Euler-Mascheroni (γ): Digit 4,428 = 8

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 4428, here are decompositions:

5 + 4423 = 4428
7 + 4421 = 4428
19 + 4409 = 4428
31 + 4397 = 4428
37 + 4391 = 4428
71 + 4357 = 4428
79 + 4349 = 4428
89 + 4339 = 4428

Showing the first eight; more decompositions exist.

Unicode codepoint

ᅌ

Hangul Choseong Yesieung

U+114C

Other letter (Lo)

UTF-8 encoding: E1 85 8C (3 bytes).

Lookup U+114C on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#00114C

RGB(0, 17, 76)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.17.76.

Address: 0.0.17.76
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.17.76

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

Musical pitch

Heard as a frequency, 4,428 Hz is closest to:

Concert pitch (A4 = 440 Hz): C♯8 (4434.9 Hz, -3¢)
Scientific pitch (C4 = 256 Hz): C♯8 (4339.6 Hz, +35¢)
Baroque pitch (A4 = 415 Hz): D8 (4431.7 Hz, -1¢)

Position in π

The digit sequence 4428 first appears in π at position 201 of the decimal expansion (the 201ordinal-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 4428 on Pi Search ↗