number.wiki
Live analysis

16,428

16,428 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.).

16,428 (sixteen thousand four hundred twenty-eight) is an even 5-digit number. It is a composite number with 18 divisors, and factors as 2² × 3 × 37². Its proper divisors sum to 22,968, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x402C.

Abundant Number Cube-Free Evil Number Recamán's Sequence Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
5
Digit sum
21
Digit product
384
Digital root
3
Palindrome
No
Bit width
15 bits
Reversed
82,461
Recamán's sequence
a(17,856) = 16,428
Square (n²)
269,879,184
Cube (n³)
4,433,575,234,752
Divisor count
18
σ(n) — sum of divisors
39,396
φ(n) — Euler's totient
5,328
Sum of prime factors
81

Primality

Prime factorization: 2 2 × 3 × 37 2

Nearest primes: 16,427 (−1) · 16,433 (+5)

Divisors & multiples

All divisors (18)
1 · 2 · 3 · 4 · 6 · 12 · 37 · 74 · 111 · 148 · 222 · 444 · 1369 · 2738 · 4107 · 5476 · 8214 (half) · 16428
Aliquot sum (sum of proper divisors): 22,968
Factor pairs (a × b = 16,428)
1 × 16428
2 × 8214
3 × 5476
4 × 4107
6 × 2738
12 × 1369
37 × 444
74 × 222
111 × 148
First multiples
16,428 · 32,856 (double) · 49,284 · 65,712 · 82,140 · 98,568 · 114,996 · 131,424 · 147,852 · 164,280

Sums & aliquot sequence

As consecutive integers: 5,475 + 5,476 + 5,477 2,050 + 2,051 + … + 2,057 673 + 674 + … + 696 426 + 427 + … + 462
Aliquot sequence: 16,428 22,968 47,232 91,998 118,602 162,198 189,270 316,170 527,670 1,123,434 1,498,458 1,729,158 1,823,082 1,838,550 3,732,522 3,773,910 6,577,962 — unresolved within range

Continued fraction of √n

√16,428 = [128; (5, 1, 4, 1, 1, 1, 1, 1, 2, 1, 84, 1, 2, 1, 1, 1, 1, 1, 4, 1, 5, 256)]

Period length 22 — the block in parentheses repeats forever.

Representations

In words
sixteen thousand four hundred twenty-eight
Ordinal
16428th
Binary
100000000101100
Octal
40054
Hexadecimal
0x402C
Base64
QCw=
One's complement
49,107 (16-bit)
Scientific notation
1.6428 × 10⁴
As a duration
16,428 s = 4 hours, 33 minutes, 48 seconds
In other bases
ternary (3) 211112110
quaternary (4) 10000230
quinary (5) 1011203
senary (6) 204020
septenary (7) 65616
nonary (9) 24473
undecimal (11) 11385
duodecimal (12) 9610
tridecimal (13) 7629
tetradecimal (14) 5db6
pentadecimal (15) 4d03

As an angle

16,428° = 45 × 360° + 228°
228° ≈ 3.979 rad
Compass bearing: SW (southwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ιϛυκηʹ
Mayan (base 20)
𝋢·𝋡·𝋡·𝋨
Chinese
一萬六千四百二十八
Chinese (financial)
壹萬陸仟肆佰貳拾捌
In other modern scripts
Eastern Arabic ١٦٤٢٨ Devanagari १६४२८ Bengali ১৬৪২৮ Tamil ௧௬௪௨௮ Thai ๑๖๔๒๘ Tibetan ༡༦༤༢༨ Khmer ១៦៤២៨ Lao ໑໖໔໒໘ Burmese ၁၆၄၂၈

Digit at this position in famous constants

π — Pi (π)
Digit 16,428 = 8
e — Euler's number (e)
Digit 16,428 = 9
φ — Golden ratio (φ)
Digit 16,428 = 8
√2 — Pythagoras's (√2)
Digit 16,428 = 8
ln 2 — Natural log of 2
Digit 16,428 = 6
γ — Euler-Mascheroni (γ)
Digit 16,428 = 0

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 16428, here are decompositions:

  • 7 + 16421 = 16428
  • 11 + 16417 = 16428
  • 17 + 16411 = 16428
  • 47 + 16381 = 16428
  • 59 + 16369 = 16428
  • 67 + 16361 = 16428
  • 79 + 16349 = 16428
  • 89 + 16339 = 16428

Showing the first eight; more decompositions exist.

Unicode codepoint
CJK Unified Ideograph-402C
U+402C
Other letter (Lo)

UTF-8 encoding: E4 80 AC (3 bytes).

Hex color
#00402C
RGB(0, 64, 44)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.64.44.

Address
0.0.64.44
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.64.44

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

Musical pitch

Heard as a frequency, 16,428 Hz is closest to:

  • Concert pitch (A4 = 440 Hz): C10 (16744 Hz, -33¢)
  • Scientific pitch (C4 = 256 Hz): C10 (16384 Hz, +5¢)
  • Baroque pitch (A4 = 415 Hz): C♯10 (16731.8 Hz, -32¢)
Position in π

The digit sequence 16428 first appears in π at position 328,895 of the decimal expansion (the 328,895ordinal-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°.