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42,960

42,960 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.).

42,960 (forty-two thousand nine hundred sixty) is an even 5-digit number. It is a composite number with 40 divisors, and factors as 2⁴ × 3 × 5 × 179. Its proper divisors sum to 90,960, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xA7D0.

Abundant Number Arithmetic Number Evil Number Gapful Number Octagonal Practical Number Recamán's Sequence Refactorable Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
5
Digit sum
21
Digit product
0
Digital root
3
Palindrome
No
Bit width
16 bits
Reversed
6,924
Recamán's sequence
a(72,672) = 42,960
Square (n²)
1,845,561,600
Cube (n³)
79,285,326,336,000
Divisor count
40
σ(n) — sum of divisors
133,920
φ(n) — Euler's totient
11,392
Sum of prime factors
195

Primality

Prime factorization: 2 4 × 3 × 5 × 179

Nearest primes: 42,953 (−7) · 42,961 (+1)

Divisors & multiples

All divisors (40)
1 · 2 · 3 · 4 · 5 · 6 · 8 · 10 · 12 · 15 · 16 · 20 · 24 · 30 · 40 · 48 · 60 · 80 · 120 · 179 · 240 · 358 · 537 · 716 · 895 · 1074 · 1432 · 1790 · 2148 · 2685 · 2864 · 3580 · 4296 · 5370 · 7160 · 8592 · 10740 · 14320 · 21480 (half) · 42960
Aliquot sum (sum of proper divisors): 90,960
Factor pairs (a × b = 42,960)
1 × 42960
2 × 21480
3 × 14320
4 × 10740
5 × 8592
6 × 7160
8 × 5370
10 × 4296
12 × 3580
15 × 2864
16 × 2685
20 × 2148
24 × 1790
30 × 1432
40 × 1074
48 × 895
60 × 716
80 × 537
120 × 358
179 × 240
First multiples
42,960 · 85,920 (double) · 128,880 · 171,840 · 214,800 · 257,760 · 300,720 · 343,680 · 386,640 · 429,600

Sums & aliquot sequence

As consecutive integers: 14,319 + 14,320 + 14,321 8,590 + 8,591 + 8,592 + 8,593 + 8,594 2,857 + 2,858 + … + 2,871 1,327 + 1,328 + … + 1,358
Aliquot sequence: 42,960 90,960 191,760 451,056 714,296 746,944 871,544 762,616 667,304 697,816 887,624 788,596 672,752 699,928 612,452 459,346 233,258 — unresolved within range

Continued fraction of √n

√42,960 = [207; (3, 1, 2, 1, 2, 1, 3, 414)]

Period length 8 — the block in parentheses repeats forever.

Representations

In words
forty-two thousand nine hundred sixty
Ordinal
42960th
Binary
1010011111010000
Octal
123720
Hexadecimal
0xA7D0
Base64
p9A=
One's complement
22,575 (16-bit)
Scientific notation
4.296 × 10⁴
As a duration
42,960 s = 11 hours, 56 minutes
In other bases
ternary (3) 2011221010
quaternary (4) 22133100
quinary (5) 2333320
senary (6) 530520
septenary (7) 236151
nonary (9) 64833
undecimal (11) 2a305
duodecimal (12) 20a40
tridecimal (13) 16728
tetradecimal (14) 11928
pentadecimal (15) cae0

As an angle

42,960° = 119 × 360° + 120°
120° ≈ 2.094 rad
Compass bearing: ESE (east-southeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 ·
Egyptian hieroglyphic
𓂍𓂍𓂍𓂍𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆
Greek (Milesian)
͵μβϡξʹ
Mayan (base 20)
𝋥·𝋧·𝋨·𝋠
Chinese
四萬二千九百六十
Chinese (financial)
肆萬貳仟玖佰陸拾
In other modern scripts
Eastern Arabic ٤٢٩٦٠ Devanagari ४२९६० Bengali ৪২৯৬০ Tamil ௪௨௯௬௦ Thai ๔๒๙๖๐ Tibetan ༤༢༩༦༠ Khmer ៤២៩៦០ Lao ໔໒໙໖໐ Burmese ၄၂၉၆၀

Digit at this position in famous constants

π — Pi (π)
Digit 42,960 = 0
e — Euler's number (e)
Digit 42,960 = 2
φ — Golden ratio (φ)
Digit 42,960 = 3
√2 — Pythagoras's (√2)
Digit 42,960 = 0
ln 2 — Natural log of 2
Digit 42,960 = 7
γ — Euler-Mascheroni (γ)
Digit 42,960 = 0

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 42960, here are decompositions:

  • 7 + 42953 = 42960
  • 17 + 42943 = 42960
  • 23 + 42937 = 42960
  • 31 + 42929 = 42960
  • 37 + 42923 = 42960
  • 59 + 42901 = 42960
  • 61 + 42899 = 42960
  • 97 + 42863 = 42960

Showing the first eight; more decompositions exist.

Unicode codepoint
Latin Capital Letter Closed Insular G
U+A7D0
Uppercase letter (Lu)

UTF-8 encoding: EA 9F 90 (3 bytes).

Hex color
#00A7D0
RGB(0, 167, 208)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.167.208.

Address
0.0.167.208
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.167.208

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

Position in π

The digit sequence 42960 first appears in π at position 121,591 of the decimal expansion (the 121,591ordinal-suffix:st 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°.