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Number

16,607

16,607 is a prime, odd.

16,607 (sixteen thousand six hundred seven) is an odd 5-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x40DF.

Arithmetic Number Chen Prime Cousin Prime Cube-Free Deficient Number Evil Number Prime Recamán's Sequence Squarefree

Interestingness

Properties

Parity
Odd
Digit count
5
Digit sum
20
Digit product
0
Digital root
2
Palindrome
No
Bit width
15 bits
Reversed
70,661
Recamán's sequence
a(44,745) = 16,607
Square (n²)
275,792,449
Cube (n³)
4,580,085,200,543
Divisor count
2
σ(n) — sum of divisors
16,608
φ(n) — Euler's totient
16,606

Primality

16,607 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 16607
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 16,607)
1 × 16607
First multiples
16,607 · 33,214 (double) · 49,821 · 66,428 · 83,035 · 99,642 · 116,249 · 132,856 · 149,463 · 166,070

Sums & aliquot sequence

As consecutive integers: 8,303 + 8,304

Continued fraction of √n

√16,607 = [128; (1, 6, 1, 1, 2, 2, 6, 2, 1, 2, 1, 5, 1, 1, 3, 1, 4, 1, 4, 1, 1, 1, 10, 1, …)]

Representations

In words
sixteen thousand six hundred seven
Ordinal
16607th
Binary
100000011011111
Octal
40337
Hexadecimal
0x40DF
Base64
QN8=
One's complement
48,928 (16-bit)
Scientific notation
1.6607 × 10⁴
As a duration
16,607 s = 4 hours, 36 minutes, 47 seconds
In other bases
ternary (3) 211210002
quaternary (4) 10003133
quinary (5) 1012412
senary (6) 204515
septenary (7) 66263
nonary (9) 24702
undecimal (11) 11528
duodecimal (12) 973b
tridecimal (13) 7736
tetradecimal (14) 60a3
pentadecimal (15) 4dc2

As an angle

16,607° = 46 × 360° + 47°
47° ≈ 0.82 rad
Compass bearing: NE (northeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ιϛχζʹ
Mayan (base 20)
𝋢·𝋡·𝋪·𝋧
Chinese
一萬六千六百零七
Chinese (financial)
壹萬陸仟陸佰零柒
In other modern scripts
Eastern Arabic ١٦٦٠٧ Devanagari १६६०७ Bengali ১৬৬০৭ Tamil ௧௬௬௦௭ Thai ๑๖๖๐๗ Tibetan ༡༦༦༠༧ Khmer ១៦៦០៧ Lao ໑໖໖໐໗ Burmese ၁၆၆၀၇

Digit at this position in famous constants

π — Pi (π)
Digit 16,607 = 1
e — Euler's number (e)
Digit 16,607 = 5
φ — Golden ratio (φ)
Digit 16,607 = 1
√2 — Pythagoras's (√2)
Digit 16,607 = 1
ln 2 — Natural log of 2
Digit 16,607 = 3
γ — Euler-Mascheroni (γ)
Digit 16,607 = 5

Also seen as

Prime neighborhood

Adjacent primes:

  • Previous prime: 16,603 (gap of 4)
  • Next prime: 16,619 (gap of 12)

Pair status: cousin with 16603.

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

UTF-8 encoding: E4 83 9F (3 bytes).

Hex color
#0040DF
RGB(0, 64, 223)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.64.223.

Address
0.0.64.223
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.64.223

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

Musical pitch

Heard as a frequency, 16,607 Hz is closest to:

  • Concert pitch (A4 = 440 Hz): C10 (16744 Hz, -14¢)
  • Scientific pitch (C4 = 256 Hz): C10 (16384 Hz, +23¢)
  • Baroque pitch (A4 = 415 Hz): C♯10 (16731.8 Hz, -13¢)
Position in π

The digit sequence 16607 first appears in π at position 25,450 of the decimal expansion (the 25,450ordinal-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.
  • Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.