Live analysis

80,772

80,772 is a composite number, even.

This number doesn't have a permanent NumberWiki page yet — what you see below is computed live. Pages get added to the permanent index when they're notable (years, primes, curated, etc.).

80,772 (eighty thousand seven hundred seventy-two) is an even 5-digit number. It is a composite number with 24 divisors, and factors as 2² × 3 × 53 × 127. Its proper divisors sum to 112,764, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x13B84.

Abundant Number Arithmetic Number Cube-Free Evil Number Recamán's Sequence Semiperfect Number

Interestingness

★ ★ ☆ ☆ ☆

4 notable facts · grade D

80,760 80,761 80,762 80,763 80,764 80,765 80,766 80,767 80,768 80,769 80,770 80,771 80,772 80,773 80,774 80,775 80,776 80,777 80,778 80,779 80,780 80,781 80,782 80,783 80,784

less more

Properties

Parity: Even
Digit count: 5
Digit sum: 24
Digit product: 0
Digital root: 6
Palindrome: No
Bit width: 17 bits
Reversed: 27,708
Recamán's sequence: a(118,563) = 80,772
Square (n²): 6,524,115,984
Cube (n³): 526,965,896,259,648
Divisor count: 24
σ(n) — sum of divisors: 193,536
φ(n) — Euler's totient: 26,208
Sum of prime factors: 187

Primality

Prime factorization: 2 ² × 3 × 53 × 127

Nearest primes: 80,761 (−11) · 80,777 (+5)

Divisors & multiples

All divisors (24)

1 · 2 · 3 · 4 · 6 · 12 · 53 · 106 · 127 · 159 · 212 · 254 · 318 · 381 · 508 · 636 · 762 · 1524 · 6731 · 13462 · 20193 · 26924 · 40386 (half) · 80772

Aliquot sum (sum of proper divisors): 112,764

Factor pairs (a × b = 80,772)

1 × 80772

2 × 40386

3 × 26924

4 × 20193

6 × 13462

12 × 6731

53 × 1524

106 × 762

127 × 636

159 × 508

212 × 381

254 × 318

First multiples

80,772 · 161,544 (double) · 242,316 · 323,088 · 403,860 · 484,632 · 565,404 · 646,176 · 726,948 · 807,720

Sums & aliquot sequence

As consecutive integers: 26,923 + 26,924 + 26,925 10,093 + 10,094 + … + 10,100 3,354 + 3,355 + … + 3,377 1,498 + 1,499 + … + 1,550

Aliquot sequence: 80,772 → 112,764 → 150,380 → 172,852 → 134,028 → 238,932 → 365,126 → 214,834 → 109,886 → 83,650 → 94,910 → 75,946 → 53,078 → 26,542 → 15,074 → 7,540 → 10,100 — unresolved within range

Continued fraction of √n

√80,772 = [284; (4, 1, 8, 1, 5, 43, 1, 1, 4, 8, 1, 1, 1, 14, 1, 2, 2, 2, 1, 14, 1, 1, 1, 8, …)]

Period length 34 — the block in parentheses repeats forever.

Representations

In words: eighty thousand seven hundred seventy-two
Ordinal: 80772nd
Binary: 10011101110000100
Octal: 235604
Hexadecimal: 0x13B84
Base64: ATuE
One's complement: 4,294,886,523 (32-bit)
Scientific notation: 8.0772 × 10⁴
As a duration: 80,772 s = 22 hours, 26 minutes, 12 seconds

In other bases

ternary (3) 11002210120

quaternary (4) 103232010

quinary (5) 10041042

senary (6) 1421540

septenary (7) 454326

nonary (9) 132716

undecimal (11) 5575a

duodecimal (12) 3a8b0

tridecimal (13) 2a9c3

tetradecimal (14) 21616

pentadecimal (15) 18dec

As an angle

80,772° = 224 × 360° + 132°

132° ≈ 2.304 rad

Compass bearing: SE (southeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹
Egyptian hieroglyphic: 𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian): ͵πψοβʹ
Mayan (base 20): 𝋪·𝋡·𝋲·𝋬
Chinese: 八萬零七百七十二
Chinese (financial): 捌萬零柒佰柒拾貳

In other modern scripts

Eastern Arabic ٨٠٧٧٢ Devanagari ८०७७२ Bengali ৮০৭৭২ Tamil ௮௦௭௭௨ Thai ๘๐๗๗๒ Tibetan ༨༠༧༧༢ Khmer ៨០៧៧២ Lao ໘໐໗໗໒ Burmese ၈၀၇၇၂

Digit at this position in famous constants

π — Pi (π): Digit 80,772 = 4
e — Euler's number (e): Digit 80,772 = 6
φ — Golden ratio (φ): Digit 80,772 = 7
√2 — Pythagoras's (√2): Digit 80,772 = 1
ln 2 — Natural log of 2: Digit 80,772 = 0
γ — Euler-Mascheroni (γ): Digit 80,772 = 8

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 80772, here are decompositions:

11 + 80761 = 80772
23 + 80749 = 80772
59 + 80713 = 80772
71 + 80701 = 80772
89 + 80683 = 80772
101 + 80671 = 80772
103 + 80669 = 80772
151 + 80621 = 80772

Showing the first eight; more decompositions exist.

Unicode codepoint

𓮄

Egyptian Hieroglyph-13B84

U+13B84

Other letter (Lo)

UTF-8 encoding: F0 93 AE 84 (4 bytes).

Lookup U+13B84 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#013B84

RGB(1, 59, 132)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.59.132.

Address: 0.1.59.132
Class: reserved
IPv4-mapped IPv6: ::ffff:0.1.59.132

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

Position in π

The digit sequence 80772 first appears in π at position 12,120 of the decimal expansion (the 12,120ordinal-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 80772 on Pi Search ↗