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38,742

38,742 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.).

38,742 (thirty-eight thousand seven hundred forty-two) is an even 5-digit number. It is a composite number with 16 divisors, and factors as 2 × 3 × 11 × 587. Its proper divisors sum to 45,930, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x9756.

Abundant Number Arithmetic Number Cube-Free Odious Number Recamán's Sequence Semiperfect Number Squarefree

Interestingness

Properties

Parity
Even
Digit count
5
Digit sum
24
Digit product
1,344
Digital root
6
Palindrome
No
Bit width
16 bits
Reversed
24,783
Recamán's sequence
a(305,972) = 38,742
Square (n²)
1,500,942,564
Cube (n³)
58,149,516,814,488
Divisor count
16
σ(n) — sum of divisors
84,672
φ(n) — Euler's totient
11,720
Sum of prime factors
603

Primality

Prime factorization: 2 × 3 × 11 × 587

Nearest primes: 38,737 (−5) · 38,747 (+5)

Divisors & multiples

All divisors (16)
1 · 2 · 3 · 6 · 11 · 22 · 33 · 66 · 587 · 1174 · 1761 · 3522 · 6457 · 12914 · 19371 (half) · 38742
Aliquot sum (sum of proper divisors): 45,930
Factor pairs (a × b = 38,742)
1 × 38742
2 × 19371
3 × 12914
6 × 6457
11 × 3522
22 × 1761
33 × 1174
66 × 587
First multiples
38,742 · 77,484 (double) · 116,226 · 154,968 · 193,710 · 232,452 · 271,194 · 309,936 · 348,678 · 387,420

Sums & aliquot sequence

As consecutive integers: 12,913 + 12,914 + 12,915 9,684 + 9,685 + 9,686 + 9,687 3,517 + 3,518 + … + 3,527 3,223 + 3,224 + … + 3,234
Aliquot sequence: 38,742 45,930 64,374 64,386 100,116 164,876 130,132 97,606 52,874 26,440 33,140 36,496 34,246 17,126 8,566 4,286 2,146 — unresolved within range

Continued fraction of √n

√38,742 = [196; (1, 4, 1, 7, 4, 1, 64, 1, 4, 7, 1, 4, 1, 392)]

Period length 14 — the block in parentheses repeats forever.

Representations

In words
thirty-eight thousand seven hundred forty-two
Ordinal
38742nd
Binary
1001011101010110
Octal
113526
Hexadecimal
0x9756
Base64
l1Y=
One's complement
26,793 (16-bit)
Scientific notation
3.8742 × 10⁴
As a duration
38,742 s = 10 hours, 45 minutes, 42 seconds
In other bases
ternary (3) 1222010220
quaternary (4) 21131112
quinary (5) 2214432
senary (6) 455210
septenary (7) 220644
nonary (9) 58126
undecimal (11) 27120
duodecimal (12) 1a506
tridecimal (13) 14832
tetradecimal (14) 10194
pentadecimal (15) b72c

As an angle

38,742° = 107 × 360° + 222°
222° ≈ 3.875 rad
Compass bearing: SW (southwest)

Historical numeral systems

Babylonian (base 60)
𒌋 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic
𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian)
͵ληψμβʹ
Mayan (base 20)
𝋤·𝋰·𝋱·𝋢
Chinese
三萬八千七百四十二
Chinese (financial)
參萬捌仟柒佰肆拾貳
In other modern scripts
Eastern Arabic ٣٨٧٤٢ Devanagari ३८७४२ Bengali ৩৮৭৪২ Tamil ௩௮௭௪௨ Thai ๓๘๗๔๒ Tibetan ༣༨༧༤༢ Khmer ៣៨៧៤២ Lao ໓໘໗໔໒ Burmese ၃၈၇၄၂

Digit at this position in famous constants

π — Pi (π)
Digit 38,742 = 8
e — Euler's number (e)
Digit 38,742 = 9
φ — Golden ratio (φ)
Digit 38,742 = 9
√2 — Pythagoras's (√2)
Digit 38,742 = 4
ln 2 — Natural log of 2
Digit 38,742 = 9
γ — Euler-Mascheroni (γ)
Digit 38,742 = 3

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 38742, here are decompositions:

  • 5 + 38737 = 38742
  • 13 + 38729 = 38742
  • 19 + 38723 = 38742
  • 29 + 38713 = 38742
  • 31 + 38711 = 38742
  • 43 + 38699 = 38742
  • 71 + 38671 = 38742
  • 73 + 38669 = 38742

Showing the first eight; more decompositions exist.

Unicode codepoint
CJK Unified Ideograph-9756
U+9756
Other letter (Lo)

UTF-8 encoding: E9 9D 96 (3 bytes).

Hex color
#009756
RGB(0, 151, 86)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.151.86.

Address
0.0.151.86
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.151.86

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

Position in π

The digit sequence 38742 first appears in π at position 97,490 of the decimal expansion (the 97,490ordinal-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°.