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Number

31,013

31,013 is a prime, odd.

Arithmetic Number Chen Prime Deficient Number Evil Number Palindrome 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
15 bits
Recamán's sequence
a(31,637) = 31,013
Square (n²)
961,806,169
Cube (n³)
29,828,494,719,197
Divisor count
2
σ(n) — sum of divisors
31,014
φ(n) — Euler's totient
31,012

Primality

31,013 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 31013
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 31,013)
1 × 31013
First multiples
31,013 · 62,026 (double) · 93,039 · 124,052 · 155,065 · 186,078 · 217,091 · 248,104 · 279,117 · 310,130

Sums & aliquot sequence

As a sum of two squares: 122² + 127²
As consecutive integers: 15,506 + 15,507

Representations

In words
thirty-one thousand thirteen
Ordinal
31013th
Binary
111100100100101
Octal
74445
Hexadecimal
0x7925
Base64
eSU=
One's complement
34,522 (16-bit)
In other bases
ternary (3) 1120112122
quaternary (4) 13210211
quinary (5) 1443023
senary (6) 355325
septenary (7) 156263
nonary (9) 46478
undecimal (11) 21334
duodecimal (12) 15b45
tridecimal (13) 11168
tetradecimal (14) b433
pentadecimal (15) 92c8

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹
Egyptian hieroglyphic
𓂍𓂍𓂍𓆼𓎆𓏺𓏺𓏺
Greek (Milesian)
͵λαιγʹ
Mayan (base 20)
𝋣·𝋱·𝋪·𝋭
Chinese
三萬一千零一十三
Chinese (financial)
參萬壹仟零壹拾參
In other modern scripts
Eastern Arabic ٣١٠١٣ Devanagari ३१०१३ Bengali ৩১০১৩ Tamil ௩௧௦௧௩ Thai ๓๑๐๑๓ Tibetan ༣༡༠༡༣ Khmer ៣១០១៣ Lao ໓໑໐໑໓ Burmese ၃၁၀၁၃

Digit at this position in famous constants

π — Pi (π)
Digit 31,013 = 6
e — Euler's number (e)
Digit 31,013 = 6
φ — Golden ratio (φ)
Digit 31,013 = 0
√2 — Pythagoras's (√2)
Digit 31,013 = 5
ln 2 — Natural log of 2
Digit 31,013 = 9
γ — Euler-Mascheroni (γ)
Digit 31,013 = 1

Also seen as

Prime neighborhood

Adjacent primes:

  • Previous prime: 30,983 (gap of 30)
  • Next prime: 31,019 (gap of 6)

Pair status: sexy with 31019.

Unicode codepoint
CJK Unified Ideograph-7925
U+7925
Other letter (Lo)

UTF-8 encoding: E7 A4 A5 (3 bytes).

Hex color
#007925
RGB(0, 121, 37)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.121.37.

Address
0.0.121.37
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.121.37

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

Position in π

The digit sequence 31013 first appears in π at position 17,381 of the decimal expansion (the 17,381ordinal-suffix:st 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.