number.wiki
Live analysis

96,072

96,072 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.).

96,072 (ninety-six thousand seventy-two) is an even 5-digit number. It is a composite number with 16 divisors, and factors as 2³ × 3 × 4,003. Its proper divisors sum to 144,168, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x17748.

Abundant Number Arithmetic Number Harshad / Niven Moran Number Odious Number Recamán's Sequence Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
5
Digit sum
24
Digit product
0
Digital root
6
Palindrome
No
Bit width
17 bits
Reversed
27,069
Recamán's sequence
a(258,996) = 96,072
Square (n²)
9,229,829,184
Cube (n³)
886,728,149,365,248
Divisor count
16
σ(n) — sum of divisors
240,240
φ(n) — Euler's totient
32,016
Sum of prime factors
4,012

Primality

Prime factorization: 2 3 × 3 × 4003

Nearest primes: 96,059 (−13) · 96,079 (+7)

Divisors & multiples

All divisors (16)
1 · 2 · 3 · 4 · 6 · 8 · 12 · 24 · 4003 · 8006 · 12009 · 16012 · 24018 · 32024 · 48036 (half) · 96072
Aliquot sum (sum of proper divisors): 144,168
Factor pairs (a × b = 96,072)
1 × 96072
2 × 48036
3 × 32024
4 × 24018
6 × 16012
8 × 12009
12 × 8006
24 × 4003
First multiples
96,072 · 192,144 (double) · 288,216 · 384,288 · 480,360 · 576,432 · 672,504 · 768,576 · 864,648 · 960,720

Sums & aliquot sequence

As consecutive integers: 32,023 + 32,024 + 32,025 5,997 + 5,998 + … + 6,012 1,978 + 1,979 + … + 2,025
Aliquot sequence: 96,072 144,168 216,312 324,528 513,960 1,028,280 2,600,520 5,806,200 12,194,880 26,526,912 46,722,624 86,414,016 163,217,184 298,188,768 484,557,000 1,107,017,400 2,324,738,400 — unresolved within range

Continued fraction of √n

√96,072 = [309; (1, 21, 7, 12, 1, 1, 26, 2, 3, 4, 1, 1, 12, 1, 1, 1, 3, 8, 4, 1, 1, 2, 1, 4, …)]

Representations

In words
ninety-six thousand seventy-two
Ordinal
96072nd
Binary
10111011101001000
Octal
273510
Hexadecimal
0x17748
Base64
AXdI
One's complement
4,294,871,223 (32-bit)
Scientific notation
9.6072 × 10⁴
As a duration
96,072 s = 1 day, 2 hours, 41 minutes, 12 seconds
In other bases
ternary (3) 11212210020
quaternary (4) 113131020
quinary (5) 11033242
senary (6) 2020440
septenary (7) 550044
nonary (9) 155706
undecimal (11) 661a9
duodecimal (12) 47720
tridecimal (13) 34962
tetradecimal (14) 27024
pentadecimal (15) 1d6ec

As an angle

96,072° = 266 × 360° + 312°
312° ≈ 5.445 rad
Compass bearing: NW (northwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹 𒌋𒁹𒁹
Egyptian hieroglyphic
𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian)
͵ϟϛοβʹ
Mayan (base 20)
𝋬·𝋠·𝋣·𝋬
Chinese
九萬六千零七十二
Chinese (financial)
玖萬陸仟零柒拾貳
In other modern scripts
Eastern Arabic ٩٦٠٧٢ Devanagari ९६०७२ Bengali ৯৬০৭২ Tamil ௯௬௦௭௨ Thai ๙๖๐๗๒ Tibetan ༩༦༠༧༢ Khmer ៩៦០៧២ Lao ໙໖໐໗໒ Burmese ၉၆၀၇၂

Digit at this position in famous constants

π — Pi (π)
Digit 96,072 = 7
e — Euler's number (e)
Digit 96,072 = 3
φ — Golden ratio (φ)
Digit 96,072 = 3
√2 — Pythagoras's (√2)
Digit 96,072 = 5
ln 2 — Natural log of 2
Digit 96,072 = 2
γ — Euler-Mascheroni (γ)
Digit 96,072 = 1

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 96072, here are decompositions:

  • 13 + 96059 = 96072
  • 19 + 96053 = 96072
  • 29 + 96043 = 96072
  • 59 + 96013 = 96072
  • 71 + 96001 = 96072
  • 83 + 95989 = 96072
  • 101 + 95971 = 96072
  • 113 + 95959 = 96072

Showing the first eight; more decompositions exist.

Unicode codepoint
𗝈
Tangut Ideograph-17748
U+17748
Other letter (Lo)

UTF-8 encoding: F0 97 9D 88 (4 bytes).

Hex color
#017748
RGB(1, 119, 72)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.119.72.

Address
0.1.119.72
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.119.72

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

Position in π

The digit sequence 96072 first appears in π at position 105,679 of the decimal expansion (the 105,679ordinal-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

  • Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.