Live analysis

104,964

104,964 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.).

104,964 (one hundred four thousand nine hundred sixty-four) is an even 6-digit number. It is a composite number with 12 divisors, and factors as 2² × 3 × 8,747. Its proper divisors sum to 139,980, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x19A04.

Abundant Number Arithmetic Number Cube-Free Evil Number Recamán's Sequence Refactorable Number Semiperfect Number

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

104,952 104,953 104,954 104,955 104,956 104,957 104,958 104,959 104,960 104,961 104,962 104,963 104,964 104,965 104,966 104,967 104,968 104,969 104,970 104,971 104,972 104,973 104,974 104,975 104,976

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Properties

Parity: Even
Digit count: 6
Digit sum: 24
Digit product: 0
Digital root: 6
Palindrome: No
Bit width: 17 bits
Reversed: 469,401
Recamán's sequence: a(91,155) = 104,964
Square (n²): 11,017,441,296
Cube (n³): 1,156,434,708,193,344
Divisor count: 12
σ(n) — sum of divisors: 244,944
φ(n) — Euler's totient: 34,984
Sum of prime factors: 8,754

Primality

Prime factorization: 2 ² × 3 × 8747

Nearest primes: 104,959 (−5) · 104,971 (+7)

Divisors & multiples

All divisors (12)

1 · 2 · 3 · 4 · 6 · 12 · 8747 · 17494 · 26241 · 34988 · 52482 (half) · 104964

Aliquot sum (sum of proper divisors): 139,980

Factor pairs (a × b = 104,964)

1 × 104964

2 × 52482

3 × 34988

4 × 26241

6 × 17494

12 × 8747

First multiples

104,964 · 209,928 (double) · 314,892 · 419,856 · 524,820 · 629,784 · 734,748 · 839,712 · 944,676 · 1,049,640

Sums & aliquot sequence

As consecutive integers: 34,987 + 34,988 + 34,989 13,117 + 13,118 + … + 13,124 4,362 + 4,363 + … + 4,385

Aliquot sequence: 104,964 → 139,980 → 252,132 → 336,204 → 618,036 → 824,076 → 1,449,468 → 2,308,692 → 3,078,284 → 2,938,804 → 2,671,724 → 2,556,772 → 2,112,284 → 1,801,780 → 1,982,000 → 2,815,312 → 2,675,408 — unresolved within range

Continued fraction of √n

√104,964 = [323; (1, 52, 1, 646)]

Period length 4 — the block in parentheses repeats forever.

Representations

In words: one hundred four thousand nine hundred sixty-four
Ordinal: 104964th
Binary: 11001101000000100
Octal: 315004
Hexadecimal: 0x19A04
Base64: AZoE
One's complement: 4,294,862,331 (32-bit)
Scientific notation: 1.04964 × 10⁵
As a duration: 104,964 s = 1 day, 5 hours, 9 minutes, 24 seconds

In other bases

ternary (3) 12022222120

quaternary (4) 121220010

quinary (5) 11324324

senary (6) 2125540

septenary (7) 615006

nonary (9) 168876

undecimal (11) 71952

duodecimal (12) 508b0

tridecimal (13) 38a12

tetradecimal (14) 2a376

pentadecimal (15) 21179

As an angle

104,964° = 291 × 360° + 204°

204° ≈ 3.56 rad

Compass bearing: SSW (south-southwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓆐𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian): ͵ρδϡξδʹ
Mayan (base 20): 𝋭·𝋢·𝋨·𝋤
Chinese: 一十萬四千九百六十四
Chinese (financial): 壹拾萬肆仟玖佰陸拾肆

In other modern scripts

Eastern Arabic ١٠٤٩٦٤ Devanagari १०४९६४ Bengali ১০৪৯৬৪ Tamil ௧௦௪௯௬௪ Thai ๑๐๔๙๖๔ Tibetan ༡༠༤༩༦༤ Khmer ១០៤៩៦៤ Lao ໑໐໔໙໖໔ Burmese ၁၀၄၉၆၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 104964, here are decompositions:

5 + 104959 = 104964
11 + 104953 = 104964
17 + 104947 = 104964
31 + 104933 = 104964
47 + 104917 = 104964
53 + 104911 = 104964
73 + 104891 = 104964
113 + 104851 = 104964

Showing the first eight; more decompositions exist.

Hex color

#019A04

RGB(1, 154, 4)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.154.4.

Address: 0.1.154.4
Class: reserved
IPv4-mapped IPv6: ::ffff:0.1.154.4

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 104,964 and was likely granted around 1870.

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

Look up US104,964 on Google Patents ↗ Look up on USPTO ↗