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Number

53,629

53,629 is a prime, odd.

53,629 (fifty-three thousand six hundred twenty-nine) is an odd 5-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0xD17D.

Arithmetic Number Cousin Prime Cube-Free Deficient Number Evil Number Lazy Caterer Number Prime Pythagorean Prime Recamán's Sequence Sexy Prime Squarefree

Interestingness

Properties

Parity
Odd
Digit count
5
Digit sum
25
Digit product
1,620
Digital root
7
Palindrome
No
Bit width
16 bits
Reversed
92,635
Recamán's sequence
a(294,194) = 53,629
Square (n²)
2,876,069,641
Cube (n³)
154,240,738,777,189
Divisor count
2
σ(n) — sum of divisors
53,630
φ(n) — Euler's totient
53,628

Primality

53,629 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 53629
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 53,629)
1 × 53629
First multiples
53,629 · 107,258 (double) · 160,887 · 214,516 · 268,145 · 321,774 · 375,403 · 429,032 · 482,661 · 536,290

Sums & aliquot sequence

As a sum of two squares: 27² + 230²
As consecutive integers: 26,814 + 26,815

Continued fraction of √n

√53,629 = [231; (1, 1, 2, 1, 1, 1, 6, 12, 2, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 6, 1, 2, 1, 5, …)]

Representations

In words
fifty-three thousand six hundred twenty-nine
Ordinal
53629th
Binary
1101000101111101
Octal
150575
Hexadecimal
0xD17D
Base64
0X0=
One's complement
11,906 (16-bit)
Scientific notation
5.3629 × 10⁴
As a duration
53,629 s = 14 hours, 53 minutes, 49 seconds
In other bases
ternary (3) 2201120021
quaternary (4) 31011331
quinary (5) 3204004
senary (6) 1052141
septenary (7) 312232
nonary (9) 81507
undecimal (11) 37324
duodecimal (12) 27051
tridecimal (13) 1b544
tetradecimal (14) 15789
pentadecimal (15) 10d54

As an angle

53,629° = 148 × 360° + 349°
349° ≈ 6.091 rad
Compass bearing: N (north)

Historical numeral systems

Babylonian (base 60)
𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵νγχκθʹ
Mayan (base 20)
𝋦·𝋮·𝋡·𝋩
Chinese
五萬三千六百二十九
Chinese (financial)
伍萬參仟陸佰貳拾玖
In other modern scripts
Eastern Arabic ٥٣٦٢٩ Devanagari ५३६२९ Bengali ৫৩৬২৯ Tamil ௫௩௬௨௯ Thai ๕๓๖๒๙ Tibetan ༥༣༦༢༩ Khmer ៥៣៦២៩ Lao ໕໓໖໒໙ Burmese ၅၃၆၂၉

Digit at this position in famous constants

π — Pi (π)
Digit 53,629 = 4
e — Euler's number (e)
Digit 53,629 = 2
φ — Golden ratio (φ)
Digit 53,629 = 6
√2 — Pythagoras's (√2)
Digit 53,629 = 3
ln 2 — Natural log of 2
Digit 53,629 = 0
γ — Euler-Mascheroni (γ)
Digit 53,629 = 7

Also seen as

Prime neighborhood

Adjacent primes:

  • Previous prime: 53,623 (gap of 6)
  • Next prime: 53,633 (gap of 4)

Pair status: cousin with 53633, sexy with 53623.

Unicode codepoint
Hangul Syllable Tyeong
U+D17D
Other letter (Lo)

UTF-8 encoding: ED 85 BD (3 bytes).

Hex color
#00D17D
RGB(0, 209, 125)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.209.125.

Address
0.0.209.125
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.209.125

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

Position in π

The digit sequence 53629 first appears in π at position 239,394 of the decimal expansion (the 239,394ordinal-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.

Related reading

  • Prime numbers — The building blocks of arithmetic: what primes are, why they matter, and how we find them.
  • Egyptian hieroglyphic numerals — Seven hieroglyphs for every power of ten, from a single stroke to a million.