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Number

10,601

10,601 is a prime, odd.

Arithmetic Number Chen Prime Cousin Prime Deficient Number Flippable Odious Number Palindrome Pernicious Number Prime Pythagorean Prime Recamán's Sequence Sexy Prime Squarefree

Properties

Parity
Odd
Digit count
5
Digit sum
8
Digit product
0
Digital root
8
Palindrome
Yes
Bit width
14 bits
Flips to (rotate 180°)
10,901
Recamán's sequence
a(50,317) = 10,601
Square (n²)
112,381,201
Cube (n³)
1,191,353,111,801
Divisor count
2
σ(n) — sum of divisors
10,602
φ(n) — Euler's totient
10,600

Primality

10,601 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 10601
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 10,601)
1 × 10601
First multiples
10,601 · 21,202 (double) · 31,803 · 42,404 · 53,005 · 63,606 · 74,207 · 84,808 · 95,409 · 106,010

Sums & aliquot sequence

As a sum of two squares: 20² + 101²
As consecutive integers: 5,300 + 5,301

Representations

In words
ten thousand six hundred one
Ordinal
10601st
Binary
10100101101001
Octal
24551
Hexadecimal
0x2969
Base64
KWk=
One's complement
54,934 (16-bit)
In other bases
ternary (3) 112112122
quaternary (4) 2211221
quinary (5) 314401
senary (6) 121025
septenary (7) 42623
nonary (9) 15478
undecimal (11) 7a68
duodecimal (12) 6175
tridecimal (13) 4a96
tetradecimal (14) 3c13
pentadecimal (15) 321b

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹
Egyptian hieroglyphic
𓂍𓍢𓍢𓍢𓍢𓍢𓍢𓏺
Greek (Milesian)
͵ιχαʹ
Mayan (base 20)
𝋡·𝋦·𝋪·𝋡
Chinese
一萬零六百零一
Chinese (financial)
壹萬零陸佰零壹
In other modern scripts
Eastern Arabic ١٠٦٠١ Devanagari १०६०१ Bengali ১০৬০১ Tamil ௧௦௬௦௧ Thai ๑๐๖๐๑ Tibetan ༡༠༦༠༡ Khmer ១០៦០១ Lao ໑໐໖໐໑ Burmese ၁၀၆၀၁

Digit at this position in famous constants

π — Pi (π)
Digit 10,601 = 9
e — Euler's number (e)
Digit 10,601 = 4
φ — Golden ratio (φ)
Digit 10,601 = 6
√2 — Pythagoras's (√2)
Digit 10,601 = 2
ln 2 — Natural log of 2
Digit 10,601 = 4
γ — Euler-Mascheroni (γ)
Digit 10,601 = 1

Also seen as

Prime neighborhood

Adjacent primes:

  • Previous prime: 10,597 (gap of 4)
  • Next prime: 10,607 (gap of 6)

Pair status: cousin with 10597, sexy with 10607.

Unicode codepoint
Rightwards Harpoon With Barb Down Above Leftwards Harpoon With Barb Down
U+2969
Math symbol (Sm)

UTF-8 encoding: E2 A5 A9 (3 bytes).

Hex color
#002969
RGB(0, 41, 105)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.41.105.

Address
0.0.41.105
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.41.105

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

Position in π

The digit sequence 10601 first appears in π at position 13,736 of the decimal expansion (the 13,736ordinal-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.