Number

93,113

93,113 is a prime, odd.

93,113 (ninety-three thousand one hundred thirteen) is an odd 5-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x16BB9.

Arithmetic Number Cube-Free Deficient Number Emirp Odious Number Pernicious Number Prime Pythagorean Prime Recamán's Sequence Sophie Germain Prime Squarefree

Interestingness

★ ★ ★ ★ ★

8 notable facts · grade A

93,101 93,102 93,103 93,104 93,105 93,106 93,107 93,108 93,109 93,110 93,111 93,112 93,113 93,114 93,115 93,116 93,117 93,118 93,119 93,120 93,121 93,122 93,123 93,124 93,125

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Properties

Parity: Odd
Digit count: 5
Digit sum: 17
Digit product: 81
Digital root: 8
Palindrome: No
Bit width: 17 bits
Reversed: 31,139
Recamán's sequence: a(30,821) = 93,113
Square (n²): 8,670,030,769
Cube (n³): 807,292,574,993,897
Divisor count: 2
σ(n) — sum of divisors: 93,114
φ(n) — Euler's totient: 93,112

Primality

93,113 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)

1 · 93113

Aliquot sum (sum of proper divisors): 1

Factor pairs (a × b = 93,113)

1 × 93113

First multiples

93,113 · 186,226 (double) · 279,339 · 372,452 · 465,565 · 558,678 · 651,791 · 744,904 · 838,017 · 931,130

Sums & aliquot sequence

As a sum of two squares: 128² + 277²

As consecutive integers: 46,556 + 46,557

Continued fraction of √n

√93,113 = [305; (6, 1, 14, 35, 1, 4, 1, 20, 4, 1, 2, 1, 1, 3, 12, 1, 2, 2, 1, 1, 4, 2, 5, 6, …)]

Representations

In words: ninety-three thousand one hundred thirteen
Ordinal: 93113th
Binary: 10110101110111001
Octal: 265671
Hexadecimal: 0x16BB9
Base64: AWu5
One's complement: 4,294,874,182 (32-bit)
Scientific notation: 9.3113 × 10⁴
As a duration: 93,113 s = 1 day, 1 hour, 51 minutes, 53 seconds

In other bases

ternary (3) 11201201122

quaternary (4) 112232321

quinary (5) 10434423

senary (6) 1555025

septenary (7) 535316

nonary (9) 151648

undecimal (11) 63a59

duodecimal (12) 45a75

tridecimal (13) 334c7

tetradecimal (14) 25d0d

pentadecimal (15) 1c8c8

As an angle

93,113° = 258 × 360° + 233°

233° ≈ 4.067 rad

Compass bearing: SW (southwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹
Egyptian hieroglyphic: 𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓍢𓎆𓏺𓏺𓏺
Greek (Milesian): ͵ϟγριγʹ
Mayan (base 20): 𝋫·𝋬·𝋯·𝋭
Chinese: 九萬三千一百一十三
Chinese (financial): 玖萬參仟壹佰壹拾參

In other modern scripts

Eastern Arabic ٩٣١١٣ Devanagari ९३११३ Bengali ৯৩১১৩ Tamil ௯௩௧௧௩ Thai ๙๓๑๑๓ Tibetan ༩༣༡༡༣ Khmer ៩៣១១៣ Lao ໙໓໑໑໓ Burmese ၉၃၁၁၃

Digit at this position in famous constants

π — Pi (π): Digit 93,113 = 8
e — Euler's number (e): Digit 93,113 = 5
φ — Golden ratio (φ): Digit 93,113 = 0
√2 — Pythagoras's (√2): Digit 93,113 = 1
ln 2 — Natural log of 2: Digit 93,113 = 9
γ — Euler-Mascheroni (γ): Digit 93,113 = 0

Also seen as

Prime neighborhood

Adjacent primes:

Previous prime: 93,103 (gap of 10)
Next prime: 93,131 (gap of 18)

Hex color

#016BB9

RGB(1, 107, 185)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.107.185.

Address: 0.1.107.185
Class: reserved
IPv4-mapped IPv6: ::ffff:0.1.107.185

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

Position in π

The digit sequence 93113 first appears in π at position 5,696 of the decimal expansion (the 5,696ordinal-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.

Look up 93113 on Pi Search ↗