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Number

30,137

30,137 is a prime, odd.

Arithmetic Number Chen Prime Cousin Prime Deficient Number Evil Number Happy Number Prime Pythagorean Prime Recamán's Sequence Squarefree Twin Prime

Properties

Parity
Odd
Digit count
5
Digit sum
14
Digit product
0
Digital root
5
Palindrome
No
Bit width
15 bits
Reversed
73,103
Recamán's sequence
a(160,977) = 30,137
Square (n²)
908,238,769
Cube (n³)
27,371,591,781,353
Divisor count
2
σ(n) — sum of divisors
30,138
φ(n) — Euler's totient
30,136

Primality

30,137 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 30137
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 30,137)
1 × 30137
First multiples
30,137 · 60,274 (double) · 90,411 · 120,548 · 150,685 · 180,822 · 210,959 · 241,096 · 271,233 · 301,370

Sums & aliquot sequence

As a sum of two squares: 104² + 139²
As consecutive integers: 15,068 + 15,069

Representations

In words
thirty thousand one hundred thirty-seven
Ordinal
30137th
Binary
111010110111001
Octal
72671
Hexadecimal
0x75B9
Base64
dbk=
One's complement
35,398 (16-bit)
In other bases
ternary (3) 1112100012
quaternary (4) 13112321
quinary (5) 1431022
senary (6) 351305
septenary (7) 153602
nonary (9) 45305
undecimal (11) 20708
duodecimal (12) 15535
tridecimal (13) 10943
tetradecimal (14) ada9
pentadecimal (15) 8de2

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓂍𓂍𓂍𓍢𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵λρλζʹ
Mayan (base 20)
𝋣·𝋯·𝋦·𝋱
Chinese
三萬零一百三十七
Chinese (financial)
參萬零壹佰參拾柒
In other modern scripts
Eastern Arabic ٣٠١٣٧ Devanagari ३०१३७ Bengali ৩০১৩৭ Tamil ௩௦௧௩௭ Thai ๓๐๑๓๗ Tibetan ༣༠༡༣༧ Khmer ៣០១៣៧ Lao ໓໐໑໓໗ Burmese ၃၀၁၃၇

Digit at this position in famous constants

π — Pi (π)
Digit 30,137 = 6
e — Euler's number (e)
Digit 30,137 = 6
φ — Golden ratio (φ)
Digit 30,137 = 1
√2 — Pythagoras's (√2)
Digit 30,137 = 5
ln 2 — Natural log of 2
Digit 30,137 = 0
γ — Euler-Mascheroni (γ)
Digit 30,137 = 2

Also seen as

Prime neighborhood

Adjacent primes:

  • Previous prime: 30,133 (gap of 4)
  • Next prime: 30,139 (gap of 2)

Pair status: twin with 30139, cousin with 30133.

Unicode codepoint
CJK Unified Ideograph-75B9
U+75B9
Other letter (Lo)

UTF-8 encoding: E7 96 B9 (3 bytes).

Hex color
#0075B9
RGB(0, 117, 185)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.117.185.

Address
0.0.117.185
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.117.185

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

Position in π

The digit sequence 30137 first appears in π at position 56,269 of the decimal expansion (the 56,269ordinal-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.