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104,972

104,972 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.).

104,972 (one hundred four thousand nine hundred seventy-two) is an even 6-digit number. It is a composite number with 24 divisors, and factors as 2² × 7 × 23 × 163. Its proper divisors sum to 115,444, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x19A0C.

Abundant Number Arithmetic Number Cube-Free Harshad / Niven Odious Number Pernicious Number Practical Number Recamán's Sequence Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
23
Digit product
0
Digital root
5
Palindrome
No
Bit width
17 bits
Reversed
279,401
Recamán's sequence
a(91,139) = 104,972
Square (n²)
11,019,120,784
Cube (n³)
1,156,699,146,938,048
Divisor count
24
σ(n) — sum of divisors
220,416
φ(n) — Euler's totient
42,768
Sum of prime factors
197

Primality

Prime factorization: 2 2 × 7 × 23 × 163

Nearest primes: 104,971 (−1) · 104,987 (+15)

Divisors & multiples

All divisors (24)
1 · 2 · 4 · 7 · 14 · 23 · 28 · 46 · 92 · 161 · 163 · 322 · 326 · 644 · 652 · 1141 · 2282 · 3749 · 4564 · 7498 · 14996 · 26243 · 52486 (half) · 104972
Aliquot sum (sum of proper divisors): 115,444
Factor pairs (a × b = 104,972)
1 × 104972
2 × 52486
4 × 26243
7 × 14996
14 × 7498
23 × 4564
28 × 3749
46 × 2282
92 × 1141
161 × 652
163 × 644
322 × 326
First multiples
104,972 · 209,944 (double) · 314,916 · 419,888 · 524,860 · 629,832 · 734,804 · 839,776 · 944,748 · 1,049,720

Sums & aliquot sequence

As consecutive integers: 14,993 + 14,994 + … + 14,999 13,118 + 13,119 + … + 13,125 4,553 + 4,554 + … + 4,575 1,847 + 1,848 + … + 1,902
Aliquot sequence: 104,972 115,444 139,916 155,764 155,820 361,284 799,932 1,377,348 2,493,372 4,155,844 5,069,372 6,166,468 7,288,316 7,406,980 10,527,356 10,959,844 12,022,556 — unresolved within range

Continued fraction of √n

√104,972 = [323; (1, 160, 1, 646)]

Period length 4 — the block in parentheses repeats forever.

Representations

In words
one hundred four thousand nine hundred seventy-two
Ordinal
104972nd
Binary
11001101000001100
Octal
315014
Hexadecimal
0x19A0C
Base64
AZoM
One's complement
4,294,862,323 (32-bit)
Scientific notation
1.04972 × 10⁵
As a duration
104,972 s = 1 day, 5 hours, 9 minutes, 32 seconds
In other bases
ternary (3) 12022222212
quaternary (4) 121220030
quinary (5) 11324342
senary (6) 2125552
septenary (7) 615020
nonary (9) 168885
undecimal (11) 7195a
duodecimal (12) 508b8
tridecimal (13) 38a1a
tetradecimal (14) 2a380
pentadecimal (15) 21182

As an angle

104,972° = 291 × 360° + 212°
212° ≈ 3.7 rad
Compass bearing: SSW (south-southwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic
𓆐𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian)
͵ρδϡοβʹ
Mayan (base 20)
𝋭·𝋢·𝋨·𝋬
Chinese
一十萬四千九百七十二
Chinese (financial)
壹拾萬肆仟玖佰柒拾貳
In other modern scripts
Eastern Arabic ١٠٤٩٧٢ Devanagari १०४९७२ Bengali ১০৪৯৭২ Tamil ௧௦௪௯௭௨ Thai ๑๐๔๙๗๒ Tibetan ༡༠༤༩༧༢ Khmer ១០៤៩៧២ Lao ໑໐໔໙໗໒ Burmese ၁၀၄၉၇၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 104972, here are decompositions:

  • 13 + 104959 = 104972
  • 19 + 104953 = 104972
  • 61 + 104911 = 104972
  • 103 + 104869 = 104972
  • 193 + 104779 = 104972
  • 199 + 104773 = 104972
  • 211 + 104761 = 104972
  • 229 + 104743 = 104972

Showing the first eight; more decompositions exist.

Hex color
#019A0C
RGB(1, 154, 12)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.154.12.

Address
0.1.154.12
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.154.12

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 104,972 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 104972 first appears in π at position 23,719 of the decimal expansion (the 23,719ordinal-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.