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31,104

31,104 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.).

31,104 (thirty-one thousand one hundred four) is an even 5-digit number. It is a composite number with 48 divisors, and factors as 2⁷ × 3⁵. Its proper divisors sum to 61,716, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x7980.

Abundant Number Achilles Number Evil Number Frugal Number Harshad / Niven Powerful Number Practical Number Recamán's Sequence Refactorable Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
5
Digit sum
9
Digit product
0
Digital root
9
Palindrome
No
Bit width
15 bits
Reversed
40,113
Recamán's sequence
a(31,455) = 31,104
Square (n²)
967,458,816
Cube (n³)
30,091,839,012,864
Divisor count
48
σ(n) — sum of divisors
92,820
φ(n) — Euler's totient
10,368
Sum of prime factors
29

Primality

Prime factorization: 2 7 × 3 5

Nearest primes: 31,091 (−13) · 31,121 (+17)

Divisors & multiples

All divisors (48)
1 · 2 · 3 · 4 · 6 · 8 · 9 · 12 · 16 · 18 · 24 · 27 · 32 · 36 · 48 · 54 · 64 · 72 · 81 · 96 · 108 · 128 · 144 · 162 · 192 · 216 · 243 · 288 · 324 · 384 · 432 · 486 · 576 · 648 · 864 · 972 · 1152 · 1296 · 1728 · 1944 · 2592 · 3456 · 3888 · 5184 · 7776 · 10368 · 15552 (half) · 31104
Aliquot sum (sum of proper divisors): 61,716
Factor pairs (a × b = 31,104)
1 × 31104
2 × 15552
3 × 10368
4 × 7776
6 × 5184
8 × 3888
9 × 3456
12 × 2592
16 × 1944
18 × 1728
24 × 1296
27 × 1152
32 × 972
36 × 864
48 × 648
54 × 576
64 × 486
72 × 432
81 × 384
96 × 324
108 × 288
128 × 243
144 × 216
162 × 192
First multiples
31,104 · 62,208 (double) · 93,312 · 124,416 · 155,520 · 186,624 · 217,728 · 248,832 · 279,936 · 311,040

Sums & aliquot sequence

As consecutive integers: 10,367 + 10,368 + 10,369 3,452 + 3,453 + … + 3,460 1,139 + 1,140 + … + 1,165 344 + 345 + … + 424
Aliquot sequence: 31,104 61,716 87,244 74,540 82,036 61,534 39,194 19,600 35,177 1,243 125 31 1 0 — terminates at zero

Continued fraction of √n

√31,104 = [176; (2, 1, 3, 21, 1, 3, 2, 1, 1, 87, 1, 1, 2, 3, 1, 21, 3, 1, 2, 352)]

Period length 20 — the block in parentheses repeats forever.

Representations

In words
thirty-one thousand one hundred four
Ordinal
31104th
Binary
111100110000000
Octal
74600
Hexadecimal
0x7980
Base64
eYA=
One's complement
34,431 (16-bit)
Scientific notation
3.1104 × 10⁴
As a duration
31,104 s = 8 hours, 38 minutes, 24 seconds
In other bases
ternary (3) 1120200000
quaternary (4) 13212000
quinary (5) 1443404
senary (6) 400000
septenary (7) 156453
nonary (9) 46600
undecimal (11) 21407
duodecimal (12) 16000
tridecimal (13) 11208
tetradecimal (14) b49a
pentadecimal (15) 9339
Palindromic in base 15

As an angle

31,104° = 86 × 360° + 144°
144° ≈ 2.513 rad
Compass bearing: SE (southeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓂍𓂍𓂍𓆼𓍢𓏺𓏺𓏺𓏺
Greek (Milesian)
͵λαρδʹ
Mayan (base 20)
𝋣·𝋱·𝋯·𝋤
Chinese
三萬一千一百零四
Chinese (financial)
參萬壹仟壹佰零肆
In other modern scripts
Eastern Arabic ٣١١٠٤ Devanagari ३११०४ Bengali ৩১১০৪ Tamil ௩௧௧௦௪ Thai ๓๑๑๐๔ Tibetan ༣༡༡༠༤ Khmer ៣១១០៤ Lao ໓໑໑໐໔ Burmese ၃၁၁၀၄

Digit at this position in famous constants

π — Pi (π)
Digit 31,104 = 8
e — Euler's number (e)
Digit 31,104 = 9
φ — Golden ratio (φ)
Digit 31,104 = 7
√2 — Pythagoras's (√2)
Digit 31,104 = 4
ln 2 — Natural log of 2
Digit 31,104 = 4
γ — Euler-Mascheroni (γ)
Digit 31,104 = 8

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 31104, here are decompositions:

  • 13 + 31091 = 31104
  • 23 + 31081 = 31104
  • 41 + 31063 = 31104
  • 53 + 31051 = 31104
  • 71 + 31033 = 31104
  • 127 + 30977 = 31104
  • 163 + 30941 = 31104
  • 167 + 30937 = 31104

Showing the first eight; more decompositions exist.

Unicode codepoint
CJK Unified Ideograph-7980
U+7980
Other letter (Lo)

UTF-8 encoding: E7 A6 80 (3 bytes).

Hex color
#007980
RGB(0, 121, 128)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.121.128.

Address
0.0.121.128
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.121.128

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

Position in π

The digit sequence 31104 first appears in π at position 244,315 of the decimal expansion (the 244,315ordinal-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°.