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Number

75,013

75,013 is a prime, odd.

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

Properties

Parity
Odd
Digit count
5
Digit sum
16
Digit product
0
Digital root
7
Palindrome
No
Bit width
17 bits
Reversed
31,057
Recamán's sequence
a(278,110) = 75,013
Square (n²)
5,626,950,169
Cube (n³)
422,094,413,027,197
Divisor count
2
σ(n) — sum of divisors
75,014
φ(n) — Euler's totient
75,012

Primality

75,013 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 75013
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 75,013)
1 × 75013
First multiples
75,013 · 150,026 (double) · 225,039 · 300,052 · 375,065 · 450,078 · 525,091 · 600,104 · 675,117 · 750,130

Sums & aliquot sequence

As a sum of two squares: 22² + 273²
As consecutive integers: 37,506 + 37,507

Representations

In words
seventy-five thousand thirteen
Ordinal
75013th
Binary
10010010100000101
Octal
222405
Hexadecimal
0x12505
Base64
ASUF
One's complement
4,294,892,282 (32-bit)
In other bases
ternary (3) 10210220021
quaternary (4) 102110011
quinary (5) 4400023
senary (6) 1335141
septenary (7) 431461
nonary (9) 123807
undecimal (11) 513a4
duodecimal (12) 374b1
tridecimal (13) 281b3
tetradecimal (14) 1d4a1
pentadecimal (15) 1735d

Historical numeral systems

Babylonian (base 60)
𒌋𒌋 𒌋𒌋𒌋𒌋𒌋 𒌋𒁹𒁹𒁹
Egyptian hieroglyphic
𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓎆𓏺𓏺𓏺
Greek (Milesian)
͵οειγʹ
Mayan (base 20)
𝋩·𝋧·𝋪·𝋭
Chinese
七萬五千零一十三
Chinese (financial)
柒萬伍仟零壹拾參
In other modern scripts
Eastern Arabic ٧٥٠١٣ Devanagari ७५०१३ Bengali ৭৫০১৩ Tamil ௭௫௦௧௩ Thai ๗๕๐๑๓ Tibetan ༧༥༠༡༣ Khmer ៧៥០១៣ Lao ໗໕໐໑໓ Burmese ၇၅၀၁၃

Digit at this position in famous constants

π — Pi (π)
Digit 75,013 = 5
e — Euler's number (e)
Digit 75,013 = 7
φ — Golden ratio (φ)
Digit 75,013 = 1
√2 — Pythagoras's (√2)
Digit 75,013 = 3
ln 2 — Natural log of 2
Digit 75,013 = 3
γ — Euler-Mascheroni (γ)
Digit 75,013 = 0

Also seen as

Prime neighborhood

Adjacent primes:

  • Previous prime: 75,011 (gap of 2)
  • Next prime: 75,017 (gap of 4)

Pair status: twin with 75011, cousin with 75017.

Unicode codepoint
𒔅
Cuneiform Sign Lak-617 Times Ku3
U+12505
Other letter (Lo)

UTF-8 encoding: F0 92 94 85 (4 bytes).

Hex color
#012505
RGB(1, 37, 5)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.37.5.

Address
0.1.37.5
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.37.5

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

Position in π

The digit sequence 75013 first appears in π at position 71,227 of the decimal expansion (the 71,227ordinal-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.