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15,428

15,428 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.).

15,428 (fifteen thousand four hundred twenty-eight) is an even 5-digit number. It is a composite number with 24 divisors, and factors as 2² × 7 × 19 × 29. Its proper divisors sum to 18,172, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x3C44.

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

Interestingness

Properties

Parity
Even
Digit count
5
Digit sum
20
Digit product
320
Digital root
2
Palindrome
No
Bit width
14 bits
Reversed
82,451
Recamán's sequence
a(19,276) = 15,428
Square (n²)
238,023,184
Cube (n³)
3,672,221,682,752
Divisor count
24
σ(n) — sum of divisors
33,600
φ(n) — Euler's totient
6,048
Sum of prime factors
59

Primality

Prime factorization: 2 2 × 7 × 19 × 29

Nearest primes: 15,427 (−1) · 15,439 (+11)

Divisors & multiples

All divisors (24)
1 · 2 · 4 · 7 · 14 · 19 · 28 · 29 · 38 · 58 · 76 · 116 · 133 · 203 · 266 · 406 · 532 · 551 · 812 · 1102 · 2204 · 3857 · 7714 (half) · 15428
Aliquot sum (sum of proper divisors): 18,172
Factor pairs (a × b = 15,428)
1 × 15428
2 × 7714
4 × 3857
7 × 2204
14 × 1102
19 × 812
28 × 551
29 × 532
38 × 406
58 × 266
76 × 203
116 × 133
First multiples
15,428 · 30,856 (double) · 46,284 · 61,712 · 77,140 · 92,568 · 107,996 · 123,424 · 138,852 · 154,280

Sums & aliquot sequence

As consecutive integers: 2,201 + 2,202 + … + 2,207 1,925 + 1,926 + … + 1,932 803 + 804 + … + 821 518 + 519 + … + 546
Aliquot sequence: 15,428 18,172 22,148 23,338 16,694 9,874 4,940 6,820 9,308 8,332 6,256 7,136 6,976 6,994 4,346 2,458 1,232 — unresolved within range

Continued fraction of √n

√15,428 = [124; (4, 1, 3, 2, 2, 3, 2, 8, 2, 3, 2, 2, 3, 1, 4, 248)]

Period length 16 — the block in parentheses repeats forever.

Representations

In words
fifteen thousand four hundred twenty-eight
Ordinal
15428th
Binary
11110001000100
Octal
36104
Hexadecimal
0x3C44
Base64
PEQ=
One's complement
50,107 (16-bit)
Scientific notation
1.5428 × 10⁴
As a duration
15,428 s = 4 hours, 17 minutes, 8 seconds
In other bases
ternary (3) 210011102
quaternary (4) 3301010
quinary (5) 443203
senary (6) 155232
septenary (7) 62660
nonary (9) 23142
undecimal (11) 10656
duodecimal (12) 8b18
tridecimal (13) 703a
tetradecimal (14) 58a0
pentadecimal (15) 4888

As an angle

15,428° = 42 × 360° + 308°
308° ≈ 5.376 rad
Compass bearing: NW (northwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓂍𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ιευκηʹ
Mayan (base 20)
𝋡·𝋲·𝋫·𝋨
Chinese
一萬五千四百二十八
Chinese (financial)
壹萬伍仟肆佰貳拾捌
In other modern scripts
Eastern Arabic ١٥٤٢٨ Devanagari १५४२८ Bengali ১৫৪২৮ Tamil ௧௫௪௨௮ Thai ๑๕๔๒๘ Tibetan ༡༥༤༢༨ Khmer ១៥៤២៨ Lao ໑໕໔໒໘ Burmese ၁၅၄၂၈

Digit at this position in famous constants

π — Pi (π)
Digit 15,428 = 3
e — Euler's number (e)
Digit 15,428 = 9
φ — Golden ratio (φ)
Digit 15,428 = 1
√2 — Pythagoras's (√2)
Digit 15,428 = 9
ln 2 — Natural log of 2
Digit 15,428 = 7
γ — Euler-Mascheroni (γ)
Digit 15,428 = 6

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 15428, here are decompositions:

  • 37 + 15391 = 15428
  • 67 + 15361 = 15428
  • 79 + 15349 = 15428
  • 97 + 15331 = 15428
  • 109 + 15319 = 15428
  • 139 + 15289 = 15428
  • 151 + 15277 = 15428
  • 157 + 15271 = 15428

Showing the first eight; more decompositions exist.

Unicode codepoint
CJK Unified Ideograph-3C44
U+3C44
Other letter (Lo)

UTF-8 encoding: E3 B1 84 (3 bytes).

Hex color
#003C44
RGB(0, 60, 68)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.60.68.

Address
0.0.60.68
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.60.68

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

Musical pitch

Heard as a frequency, 15,428 Hz is closest to:

  • Concert pitch (A4 = 440 Hz): B9 (15804.3 Hz, -42¢)
  • Scientific pitch (C4 = 256 Hz): B9 (15464.4 Hz, -4¢)
  • Baroque pitch (A4 = 415 Hz): C10 (15792.7 Hz, -40¢)
Position in π

The digit sequence 15428 first appears in π at position 27,577 of the decimal expansion (the 27,577ordinal-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

  • Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.