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104,720

104,720 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.).

104,720 (one hundred four thousand seven hundred twenty) is an even 6-digit number. It is a composite number with 80 divisors, and factors as 2⁴ × 5 × 7 × 11 × 17. Its proper divisors sum to 216,688, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x19910.

Abundant Number Evil Number Gapful Number Happy Number Harshad / Niven Practical Number Recamán's Sequence Refactorable Number Weird Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
14
Digit product
0
Digital root
5
Palindrome
No
Bit width
17 bits
Reversed
27,401
Recamán's sequence
a(91,751) = 104,720
Square (n²)
10,966,278,400
Cube (n³)
1,148,388,674,048,000
Divisor count
80
σ(n) — sum of divisors
321,408
φ(n) — Euler's totient
30,720
Sum of prime factors
48

Primality

Prime factorization: 2 4 × 5 × 7 × 11 × 17

Nearest primes: 104,717 (−3) · 104,723 (+3)

Divisors & multiples

All divisors (80)
1 · 2 · 4 · 5 · 7 · 8 · 10 · 11 · 14 · 16 · 17 · 20 · 22 · 28 · 34 · 35 · 40 · 44 · 55 · 56 · 68 · 70 · 77 · 80 · 85 · 88 · 110 · 112 · 119 · 136 · 140 · 154 · 170 · 176 · 187 · 220 · 238 · 272 · 280 · 308 · 340 · 374 · 385 · 440 · 476 · 560 · 595 · 616 · 680 · 748 · 770 · 880 · 935 · 952 · 1190 · 1232 · 1309 · 1360 · 1496 · 1540 · 1870 · 1904 · 2380 · 2618 · 2992 · 3080 · 3740 · 4760 · 5236 · 6160 · 6545 · 7480 · 9520 · 10472 · 13090 · 14960 · 20944 · 26180 · 52360 (half) · 104720
Aliquot sum (sum of proper divisors): 216,688
Factor pairs (a × b = 104,720)
1 × 104720
2 × 52360
4 × 26180
5 × 20944
7 × 14960
8 × 13090
10 × 10472
11 × 9520
14 × 7480
16 × 6545
17 × 6160
20 × 5236
22 × 4760
28 × 3740
34 × 3080
35 × 2992
40 × 2618
44 × 2380
55 × 1904
56 × 1870
68 × 1540
70 × 1496
77 × 1360
80 × 1309
85 × 1232
88 × 1190
110 × 952
112 × 935
119 × 880
136 × 770
140 × 748
154 × 680
170 × 616
176 × 595
187 × 560
220 × 476
238 × 440
272 × 385
280 × 374
308 × 340
First multiples
104,720 · 209,440 (double) · 314,160 · 418,880 · 523,600 · 628,320 · 733,040 · 837,760 · 942,480 · 1,047,200

Sums & aliquot sequence

As consecutive integers: 20,942 + 20,943 + 20,944 + 20,945 + 20,946 14,957 + 14,958 + … + 14,963 9,515 + 9,516 + … + 9,525 6,152 + 6,153 + … + 6,168
Aliquot sequence: 104,720 216,688 218,552 215,608 188,672 228,304 237,936 376,856 378,364 378,420 927,948 1,546,804 1,546,860 3,614,100 8,343,468 16,056,180 39,609,612 — unresolved within range

Continued fraction of √n

√104,720 = [323; (1, 1, 1, 1, 7, 1, 10, 1, 7, 1, 1, 1, 1, 646)]

Period length 14 — the block in parentheses repeats forever.

Representations

In words
one hundred four thousand seven hundred twenty
Ordinal
104720th
Binary
11001100100010000
Octal
314420
Hexadecimal
0x19910
Base64
AZkQ
One's complement
4,294,862,575 (32-bit)
Scientific notation
1.0472 × 10⁵
As a duration
104,720 s = 1 day, 5 hours, 5 minutes, 20 seconds
In other bases
ternary (3) 12022122112
quaternary (4) 121210100
quinary (5) 11322340
senary (6) 2124452
septenary (7) 614210
nonary (9) 168575
undecimal (11) 71750
duodecimal (12) 50728
tridecimal (13) 38885
tetradecimal (14) 2a240
pentadecimal (15) 21065

As an angle

104,720° = 290 × 360° + 320°
320° ≈ 5.585 rad
Compass bearing: NW (northwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹 𒌋𒌋
Egyptian hieroglyphic
𓆐𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆
Greek (Milesian)
͵ρδψκʹ
Mayan (base 20)
𝋭·𝋡·𝋰·𝋠
Chinese
一十萬四千七百二十
Chinese (financial)
壹拾萬肆仟柒佰貳拾
In other modern scripts
Eastern Arabic ١٠٤٧٢٠ Devanagari १०४७२० Bengali ১০৪৭২০ Tamil ௧௦௪௭௨௦ Thai ๑๐๔๗๒๐ Tibetan ༡༠༤༧༢༠ Khmer ១០៤៧២០ Lao ໑໐໔໗໒໐ Burmese ၁၀၄၇၂၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 104720, here are decompositions:

  • 3 + 104717 = 104720
  • 13 + 104707 = 104720
  • 19 + 104701 = 104720
  • 37 + 104683 = 104720
  • 43 + 104677 = 104720
  • 61 + 104659 = 104720
  • 97 + 104623 = 104720
  • 127 + 104593 = 104720

Showing the first eight; more decompositions exist.

Hex color
#019910
RGB(1, 153, 16)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.153.16.

Address
0.1.153.16
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.153.16

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 104,720 and was likely granted around 1870.

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

Position in π

The digit sequence 104720 first appears in π at position 979,925 of the decimal expansion (the 979,925ordinal-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.