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104,624

104,624 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.).

104,624 (one hundred four thousand six hundred twenty-four) is an even 6-digit number. It is a composite number with 20 divisors, and factors as 2⁴ × 13 × 503. Its proper divisors sum to 114,112, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x198B0.

Abundant Number Odious Number Pernicious Number Recamán's Sequence Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
17
Digit product
0
Digital root
8
Palindrome
No
Bit width
17 bits
Reversed
426,401
Recamán's sequence
a(91,943) = 104,624
Square (n²)
10,946,181,376
Cube (n³)
1,145,233,280,282,624
Divisor count
20
σ(n) — sum of divisors
218,736
φ(n) — Euler's totient
48,192
Sum of prime factors
524

Primality

Prime factorization: 2 4 × 13 × 503

Nearest primes: 104,623 (−1) · 104,639 (+15)

Divisors & multiples

All divisors (20)
1 · 2 · 4 · 8 · 13 · 16 · 26 · 52 · 104 · 208 · 503 · 1006 · 2012 · 4024 · 6539 · 8048 · 13078 · 26156 · 52312 (half) · 104624
Aliquot sum (sum of proper divisors): 114,112
Factor pairs (a × b = 104,624)
1 × 104624
2 × 52312
4 × 26156
8 × 13078
13 × 8048
16 × 6539
26 × 4024
52 × 2012
104 × 1006
208 × 503
First multiples
104,624 · 209,248 (double) · 313,872 · 418,496 · 523,120 · 627,744 · 732,368 · 836,992 · 941,616 · 1,046,240

Sums & aliquot sequence

As consecutive integers: 8,042 + 8,043 + … + 8,054 3,254 + 3,255 + … + 3,285 44 + 45 + … + 459
Aliquot sequence: 104,624 114,112 112,456 98,414 49,210 60,230 54,250 65,558 32,782 17,834 9,754 4,880 6,652 4,996 3,754 1,880 2,440 — unresolved within range

Continued fraction of √n

√104,624 = [323; (2, 5, 4, 2, 3, 1, 1, 2, 11, 2, 1, 2, 4, 1, 2, 1, 1, 2, 1, 11, 1, 2, 1, 1, …)]

Period length 40 — the block in parentheses repeats forever.

Representations

In words
one hundred four thousand six hundred twenty-four
Ordinal
104624th
Binary
11001100010110000
Octal
314260
Hexadecimal
0x198B0
Base64
AZiw
One's complement
4,294,862,671 (32-bit)
Scientific notation
1.04624 × 10⁵
As a duration
104,624 s = 1 day, 5 hours, 3 minutes, 44 seconds
In other bases
ternary (3) 12022111222
quaternary (4) 121202300
quinary (5) 11321444
senary (6) 2124212
septenary (7) 614012
nonary (9) 168458
undecimal (11) 71673
duodecimal (12) 50668
tridecimal (13) 38810
tetradecimal (14) 2a1b2
pentadecimal (15) 20eee
Palindromic in base 6

As an angle

104,624° = 290 × 360° + 224°
224° ≈ 3.91 rad
Compass bearing: SW (southwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρδχκδʹ
Mayan (base 20)
𝋭·𝋡·𝋫·𝋤
Chinese
一十萬四千六百二十四
Chinese (financial)
壹拾萬肆仟陸佰貳拾肆
In other modern scripts
Eastern Arabic ١٠٤٦٢٤ Devanagari १०४६२४ Bengali ১০৪৬২৪ Tamil ௧௦௪௬௨௪ Thai ๑๐๔๖๒๔ Tibetan ༡༠༤༦༢༤ Khmer ១០៤៦២៤ Lao ໑໐໔໖໒໔ Burmese ၁၀၄၆၂၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 104624, here are decompositions:

  • 31 + 104593 = 104624
  • 73 + 104551 = 104624
  • 97 + 104527 = 104624
  • 151 + 104473 = 104624
  • 241 + 104383 = 104624
  • 277 + 104347 = 104624
  • 313 + 104311 = 104624
  • 337 + 104287 = 104624

Showing the first eight; more decompositions exist.

Hex color
#0198B0
RGB(1, 152, 176)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.152.176.

Address
0.1.152.176
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.152.176

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

Possible US patent number

This number falls in the range of US utility patent numbers. If it's a patent, it would be issued as US 104,624 and was likely granted around 1870.

Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.

Related reading

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