Number

72,053

72,053 is a prime, odd.

72,053 (seventy-two thousand fifty-three) is an odd 5-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x11975.

Arithmetic Number Chen Prime Cube-Free Deficient Number Emirp Odious Number Prime Pythagorean Prime Recamán's Sequence Sexy Prime Squarefree

Interestingness

★ ★ ★ ★ ★

9 notable facts · grade A

72,041 72,042 72,043 72,044 72,045 72,046 72,047 72,048 72,049 72,050 72,051 72,052 72,053 72,054 72,055 72,056 72,057 72,058 72,059 72,060 72,061 72,062 72,063 72,064 72,065

less more

Properties

Parity: Odd
Digit count: 5
Digit sum: 17
Digit product: 0
Digital root: 8
Palindrome: No
Bit width: 17 bits
Reversed: 35,027
Recamán's sequence: a(127,493) = 72,053
Square (n²): 5,191,634,809
Cube (n³): 374,072,862,892,877
Divisor count: 2
σ(n) — sum of divisors: 72,054
φ(n) — Euler's totient: 72,052

Primality

72,053 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)

1 · 72053

Aliquot sum (sum of proper divisors): 1

Factor pairs (a × b = 72,053)

1 × 72053

First multiples

72,053 · 144,106 (double) · 216,159 · 288,212 · 360,265 · 432,318 · 504,371 · 576,424 · 648,477 · 720,530

Sums & aliquot sequence

As a sum of two squares: 158² + 217²

As consecutive integers: 36,026 + 36,027

Continued fraction of √n

√72,053 = [268; (2, 2, 1, 11, 2, 18, 1, 2, 3, 1, 3, 6, 1, 2, 2, 2, 3, 5, 4, 7, 8, 1, 1, 1, …)]

Period length 55 — the block in parentheses repeats forever.

Representations

In words: seventy-two thousand fifty-three
Ordinal: 72053rd
Binary: 10001100101110101
Octal: 214565
Hexadecimal: 0x11975
Base64: ARl1
One's complement: 4,294,895,242 (32-bit)
Scientific notation: 7.2053 × 10⁴
As a duration: 72,053 s = 20 hours, 53 seconds

In other bases

ternary (3) 10122211122

quaternary (4) 101211311

quinary (5) 4301203

senary (6) 1313325

septenary (7) 420032

nonary (9) 118748

undecimal (11) 4a153

duodecimal (12) 35845

tridecimal (13) 26a47

tetradecimal (14) 1c389

pentadecimal (15) 16538

As an angle

72,053° = 200 × 360° + 53°

53° ≈ 0.925 rad

Compass bearing: NE (northeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒌋 · 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹
Egyptian hieroglyphic: 𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺
Greek (Milesian): ͵οβνγʹ
Mayan (base 20): 𝋩·𝋠·𝋢·𝋭
Chinese: 七萬二千零五十三
Chinese (financial): 柒萬貳仟零伍拾參

In other modern scripts

Eastern Arabic ٧٢٠٥٣ Devanagari ७२०५३ Bengali ৭২০৫৩ Tamil ௭௨௦௫௩ Thai ๗๒๐๕๓ Tibetan ༧༢༠༥༣ Khmer ៧២០៥៣ Lao ໗໒໐໕໓ Burmese ၇၂၀၅၃

Digit at this position in famous constants

π — Pi (π): Digit 72,053 = 7
e — Euler's number (e): Digit 72,053 = 9
φ — Golden ratio (φ): Digit 72,053 = 5
√2 — Pythagoras's (√2): Digit 72,053 = 8
ln 2 — Natural log of 2: Digit 72,053 = 8
γ — Euler-Mascheroni (γ): Digit 72,053 = 1

Also seen as

Prime neighborhood

Adjacent primes:

Previous prime: 72,047 (gap of 6)
Next prime: 72,073 (gap of 20)

Pair status: sexy with 72047.

Hex color

#011975

RGB(1, 25, 117)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.25.117.

Address: 0.1.25.117
Class: reserved
IPv4-mapped IPv6: ::ffff:0.1.25.117

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

Position in π

The digit sequence 72053 first appears in π at position 175,704 of the decimal expansion (the 175,704ordinal-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.

Look up 72053 on Pi Search ↗