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Number

10,607

10,607 is a prime, odd.

10,607 (ten 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, 0x296F.

Arithmetic Number Balanced Prime Chen Prime Cube-Free Deficient Number Happy Number Odious Number Prime Recamán's Sequence Safe Prime Sexy Prime Squarefree

Interestingness

Properties

Parity
Odd
Digit count
5
Digit sum
14
Digit product
0
Digital root
5
Palindrome
No
Bit width
14 bits
Reversed
70,601
Recamán's sequence
a(50,305) = 10,607
Square (n²)
112,508,449
Cube (n³)
1,193,377,118,543
Divisor count
2
σ(n) — sum of divisors
10,608
φ(n) — Euler's totient
10,606

Primality

10,607 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 10607
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 10,607)
1 × 10607
First multiples
10,607 · 21,214 (double) · 31,821 · 42,428 · 53,035 · 63,642 · 74,249 · 84,856 · 95,463 · 106,070

Sums & aliquot sequence

As consecutive integers: 5,303 + 5,304

Continued fraction of √n

√10,607 = [102; (1, 101, 1, 204)]

Period length 4 — the block in parentheses repeats forever.

Representations

In words
ten thousand six hundred seven
Ordinal
10607th
Binary
10100101101111
Octal
24557
Hexadecimal
0x296F
Base64
KW8=
One's complement
54,928 (16-bit)
Scientific notation
1.0607 × 10⁴
As a duration
10,607 s = 2 hours, 56 minutes, 47 seconds
In other bases
ternary (3) 112112212
quaternary (4) 2211233
quinary (5) 314412
senary (6) 121035
septenary (7) 42632
nonary (9) 15485
undecimal (11) 7a73
duodecimal (12) 617b
tridecimal (13) 4a9c
tetradecimal (14) 3c19
pentadecimal (15) 3222

As an angle

10,607° = 29 × 360° + 167°
167° ≈ 2.915 rad
Compass bearing: SSE (south-southeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓂍𓍢𓍢𓍢𓍢𓍢𓍢𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ιχζʹ
Mayan (base 20)
𝋡·𝋦·𝋪·𝋧
Chinese
一萬零六百零七
Chinese (financial)
壹萬零陸佰零柒
In other modern scripts
Eastern Arabic ١٠٦٠٧ Devanagari १०६०७ Bengali ১০৬০৭ Tamil ௧௦௬௦௭ Thai ๑๐๖๐๗ Tibetan ༡༠༦༠༧ Khmer ១០៦០៧ Lao ໑໐໖໐໗ Burmese ၁၀၆၀၇

Digit at this position in famous constants

π — Pi (π)
Digit 10,607 = 8
e — Euler's number (e)
Digit 10,607 = 5
φ — Golden ratio (φ)
Digit 10,607 = 8
√2 — Pythagoras's (√2)
Digit 10,607 = 8
ln 2 — Natural log of 2
Digit 10,607 = 5
γ — Euler-Mascheroni (γ)
Digit 10,607 = 6

Also seen as

Prime neighborhood

Adjacent primes:

  • Previous prime: 10,601 (gap of 6)
  • Next prime: 10,613 (gap of 6)

Pair status: sexy with 10601, sexy with 10613.

Unicode codepoint
Downwards Harpoon With Barb Left Beside Upwards Harpoon With Barb Right
U+296F
Math symbol (Sm)

UTF-8 encoding: E2 A5 AF (3 bytes).

Hex color
#00296F
RGB(0, 41, 111)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.41.111.

Address
0.0.41.111
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.41.111

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

Musical pitch

Heard as a frequency, 10,607 Hz is closest to:

  • Concert pitch (A4 = 440 Hz): E9 (10548.1 Hz, +10¢)
  • Scientific pitch (C4 = 256 Hz): E9 (10321.3 Hz, +47¢ — about midway to F9)
  • Baroque pitch (A4 = 415 Hz): F9 (10540.3 Hz, +11¢)
Position in π

The digit sequence 10607 first appears in π at position 55,607 of the decimal expansion (the 55,607ordinal-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.