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85,724

85,724 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.).

85,724 (eighty-five thousand seven hundred twenty-four) is an even 5-digit number. It is a composite number with 12 divisors, and factors as 2² × 29 × 739. Written other ways, in hexadecimal, 0x14EDC.

Arithmetic Number Cube-Free Deficient Number Evil Number Recamán's Sequence

Interestingness

Properties

Parity
Even
Digit count
5
Digit sum
26
Digit product
2,240
Digital root
8
Palindrome
No
Bit width
17 bits
Reversed
42,758
Recamán's sequence
a(113,707) = 85,724
Square (n²)
7,348,604,176
Cube (n³)
629,951,744,383,424
Divisor count
12
σ(n) — sum of divisors
155,400
φ(n) — Euler's totient
41,328
Sum of prime factors
772

Primality

Prime factorization: 2 2 × 29 × 739

Nearest primes: 85,717 (−7) · 85,733 (+9)

Divisors & multiples

All divisors (12)
1 · 2 · 4 · 29 · 58 · 116 · 739 · 1478 · 2956 · 21431 · 42862 (half) · 85724
Aliquot sum (sum of proper divisors): 69,676
Factor pairs (a × b = 85,724)
1 × 85724
2 × 42862
4 × 21431
29 × 2956
58 × 1478
116 × 739
First multiples
85,724 · 171,448 (double) · 257,172 · 342,896 · 428,620 · 514,344 · 600,068 · 685,792 · 771,516 · 857,240

Sums & aliquot sequence

As consecutive integers: 10,712 + 10,713 + … + 10,719 2,942 + 2,943 + … + 2,970 254 + 255 + … + 485
Aliquot sequence: 85,724 69,676 52,264 48,536 42,484 43,756 32,824 34,496 52,372 39,286 24,218 12,112 11,386 5,696 5,734 3,194 1,600 — unresolved within range

Continued fraction of √n

√85,724 = [292; (1, 3, 1, 2, 5, 3, 20, 1, 1, 2, 83, 3, 1, 11, 5, 146, 5, 11, 1, 3, 83, 2, 1, 1, …)]

Period length 32 — the block in parentheses repeats forever.

Representations

In words
eighty-five thousand seven hundred twenty-four
Ordinal
85724th
Binary
10100111011011100
Octal
247334
Hexadecimal
0x14EDC
Base64
AU7c
One's complement
4,294,881,571 (32-bit)
Scientific notation
8.5724 × 10⁴
As a duration
85,724 s = 23 hours, 48 minutes, 44 seconds
In other bases
ternary (3) 11100120222
quaternary (4) 110323130
quinary (5) 10220344
senary (6) 1500512
septenary (7) 504632
nonary (9) 140528
undecimal (11) 59451
duodecimal (12) 41738
tridecimal (13) 30032
tetradecimal (14) 23352
pentadecimal (15) 1a5ee

As an angle

85,724° = 238 × 360° + 44°
44° ≈ 0.768 rad
Compass bearing: NE (northeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian)
͵πεψκδʹ
Mayan (base 20)
𝋪·𝋮·𝋦·𝋤
Chinese
八萬五千七百二十四
Chinese (financial)
捌萬伍仟柒佰貳拾肆
In other modern scripts
Eastern Arabic ٨٥٧٢٤ Devanagari ८५७२४ Bengali ৮৫৭২৪ Tamil ௮௫௭௨௪ Thai ๘๕๗๒๔ Tibetan ༨༥༧༢༤ Khmer ៨៥៧២៤ Lao ໘໕໗໒໔ Burmese ၈၅၇၂၄

Digit at this position in famous constants

π — Pi (π)
Digit 85,724 = 7
e — Euler's number (e)
Digit 85,724 = 1
φ — Golden ratio (φ)
Digit 85,724 = 1
√2 — Pythagoras's (√2)
Digit 85,724 = 7
ln 2 — Natural log of 2
Digit 85,724 = 7
γ — Euler-Mascheroni (γ)
Digit 85,724 = 0

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 85724, here are decompositions:

  • 7 + 85717 = 85724
  • 13 + 85711 = 85724
  • 97 + 85627 = 85724
  • 103 + 85621 = 85724
  • 127 + 85597 = 85724
  • 193 + 85531 = 85724
  • 211 + 85513 = 85724
  • 271 + 85453 = 85724

Showing the first eight; more decompositions exist.

Hex color
#014EDC
RGB(1, 78, 220)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.78.220.

Address
0.1.78.220
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.78.220

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

Position in π

The digit sequence 85724 first appears in π at position 1,105 of the decimal expansion (the 1,105ordinal-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

  • Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.