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Number

34,513

34,513 is a prime, odd.

Arithmetic Number Deficient Number Emirp Odious Number Pernicious Number Prime Pythagorean Prime Recamán's Sequence Sexy Prime Squarefree Twin Prime

Properties

Parity
Odd
Digit count
5
Digit sum
16
Digit product
180
Digital root
7
Palindrome
No
Bit width
16 bits
Reversed
31,543
Recamán's sequence
a(18,893) = 34,513
Square (n²)
1,191,147,169
Cube (n³)
41,110,062,243,697
Divisor count
2
σ(n) — sum of divisors
34,514
φ(n) — Euler's totient
34,512

Primality

34,513 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 34513
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 34,513)
1 × 34513
First multiples
34,513 · 69,026 (double) · 103,539 · 138,052 · 172,565 · 207,078 · 241,591 · 276,104 · 310,617 · 345,130

Sums & aliquot sequence

As a sum of two squares: 32² + 183²
As consecutive integers: 17,256 + 17,257

Representations

In words
thirty-four thousand five hundred thirteen
Ordinal
34513th
Binary
1000011011010001
Octal
103321
Hexadecimal
0x86D1
Base64
htE=
One's complement
31,022 (16-bit)
In other bases
ternary (3) 1202100021
quaternary (4) 20123101
quinary (5) 2101023
senary (6) 423441
septenary (7) 202423
nonary (9) 52307
undecimal (11) 23a26
duodecimal (12) 17b81
tridecimal (13) 1292b
tetradecimal (14) c813
pentadecimal (15) a35d

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹
Egyptian hieroglyphic
𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓎆𓏺𓏺𓏺
Greek (Milesian)
͵λδφιγʹ
Mayan (base 20)
𝋤·𝋦·𝋥·𝋭
Chinese
三萬四千五百一十三
Chinese (financial)
參萬肆仟伍佰壹拾參
In other modern scripts
Eastern Arabic ٣٤٥١٣ Devanagari ३४५१३ Bengali ৩৪৫১৩ Tamil ௩௪௫௧௩ Thai ๓๔๕๑๓ Tibetan ༣༤༥༡༣ Khmer ៣៤៥១៣ Lao ໓໔໕໑໓ Burmese ၃၄၅၁၃

Digit at this position in famous constants

π — Pi (π)
Digit 34,513 = 7
e — Euler's number (e)
Digit 34,513 = 1
φ — Golden ratio (φ)
Digit 34,513 = 8
√2 — Pythagoras's (√2)
Digit 34,513 = 5
ln 2 — Natural log of 2
Digit 34,513 = 0
γ — Euler-Mascheroni (γ)
Digit 34,513 = 6

Also seen as

Prime neighborhood

Adjacent primes:

  • Previous prime: 34,511 (gap of 2)
  • Next prime: 34,519 (gap of 6)

Pair status: twin with 34511, sexy with 34519.

Unicode codepoint
CJK Unified Ideograph-86D1
U+86D1
Other letter (Lo)

UTF-8 encoding: E8 9B 91 (3 bytes).

Hex color
#0086D1
RGB(0, 134, 209)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.134.209.

Address
0.0.134.209
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.134.209

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

Possible US bank routing number

This passes the ABA routing number checksum and matches the Federal Reserve numbering scheme.

Routing number
000034513
Federal Reserve
United States Government

Banks operate many routing numbers per state and division; an unmatched checksum-valid number can still be a real RTN at a smaller institution.

Position in π

The digit sequence 34513 first appears in π at position 82,489 of the decimal expansion (the 82,489ordinal-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.