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Number

16,561

16,561 is a prime, odd.

16,561 (sixteen thousand five hundred sixty-one) is an odd 5-digit number. It is a prime number — divisible only by 1 and itself. Its digits read the same forwards and backwards, so it is a palindromic number. Written other ways, in hexadecimal, 0x40B1.

Arithmetic Number Chen Prime Cube-Free Deficient Number Odious Number Palindrome Palindromic Prime Pernicious Number Prime Pythagorean Prime Recamán's Sequence Sexy Prime Squarefree

Interestingness

Properties

Parity
Odd
Digit count
5
Digit sum
19
Digit product
180
Digital root
1
Palindrome
Yes
Bit width
15 bits
Recamán's sequence
a(44,837) = 16,561
Square (n²)
274,266,721
Cube (n³)
4,542,131,166,481
Divisor count
2
σ(n) — sum of divisors
16,562
φ(n) — Euler's totient
16,560

Primality

16,561 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 16561
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 16,561)
1 × 16561
First multiples
16,561 · 33,122 (double) · 49,683 · 66,244 · 82,805 · 99,366 · 115,927 · 132,488 · 149,049 · 165,610

Sums & aliquot sequence

As a sum of two squares: 81² + 100²
As consecutive integers: 8,280 + 8,281

Continued fraction of √n

√16,561 = [128; (1, 2, 4, 1, 1, 10, 1, 1, 1, 3, 3, 3, 3, 7, 1, 2, 1, 5, 1, 2, 4, 85, 1, 1, …)]

Representations

In words
sixteen thousand five hundred sixty-one
Ordinal
16561st
Binary
100000010110001
Octal
40261
Hexadecimal
0x40B1
Base64
QLE=
One's complement
48,974 (16-bit)
Scientific notation
1.6561 × 10⁴
As a duration
16,561 s = 4 hours, 36 minutes, 1 second
In other bases
ternary (3) 211201101
quaternary (4) 10002301
quinary (5) 1012221
senary (6) 204401
septenary (7) 66166
nonary (9) 24641
undecimal (11) 11496
duodecimal (12) 9701
tridecimal (13) 76cc
tetradecimal (14) 606d
pentadecimal (15) 4d91
Palindromic in base 7

As an angle

16,561° = 46 × 360° + 1°
1° ≈ 0.017 rad
Compass bearing: N (north)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒁹
Egyptian hieroglyphic
𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺
Greek (Milesian)
͵ιϛφξαʹ
Mayan (base 20)
𝋢·𝋡·𝋨·𝋡
Chinese
一萬六千五百六十一
Chinese (financial)
壹萬陸仟伍佰陸拾壹
In other modern scripts
Eastern Arabic ١٦٥٦١ Devanagari १६५६१ Bengali ১৬৫৬১ Tamil ௧௬௫௬௧ Thai ๑๖๕๖๑ Tibetan ༡༦༥༦༡ Khmer ១៦៥៦១ Lao ໑໖໕໖໑ Burmese ၁၆၅၆၁

Digit at this position in famous constants

π — Pi (π)
Digit 16,561 = 7
e — Euler's number (e)
Digit 16,561 = 5
φ — Golden ratio (φ)
Digit 16,561 = 5
√2 — Pythagoras's (√2)
Digit 16,561 = 9
ln 2 — Natural log of 2
Digit 16,561 = 9
γ — Euler-Mascheroni (γ)
Digit 16,561 = 8

Also seen as

Prime neighborhood

Adjacent primes:

  • Previous prime: 16,553 (gap of 8)
  • Next prime: 16,567 (gap of 6)

Pair status: sexy with 16567.

Unicode codepoint
CJK Unified Ideograph-40B1
U+40B1
Other letter (Lo)

UTF-8 encoding: E4 82 B1 (3 bytes).

Hex color
#0040B1
RGB(0, 64, 177)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.64.177.

Address
0.0.64.177
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.64.177

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

Musical pitch

Heard as a frequency, 16,561 Hz is closest to:

  • Concert pitch (A4 = 440 Hz): C10 (16744 Hz, -19¢)
  • Scientific pitch (C4 = 256 Hz): C10 (16384 Hz, +19¢)
  • Baroque pitch (A4 = 415 Hz): C♯10 (16731.8 Hz, -18¢)
Position in π

The digit sequence 16561 first appears in π at position 71,399 of the decimal expansion (the 71,399ordinal-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

  • Prime numbers — The building blocks of arithmetic: what primes are, why they matter, and how we find them.
  • Egyptian hieroglyphic numerals — Seven hieroglyphs for every power of ten, from a single stroke to a million.