Live analysis

104,448

104,448 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.).

104,448 (one hundred four thousand four hundred forty-eight) is an even 6-digit number. It is a composite number with 48 divisors, and factors as 2¹¹ × 3 × 17. Its proper divisors sum to 190,392, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x19800.

Abundant Number Evil Number Practical Number Recamán's Sequence Refactorable Number Semiperfect Number

Interestingness

★ ★ ☆ ☆ ☆

4 notable facts · grade D

104,436 104,437 104,438 104,439 104,440 104,441 104,442 104,443 104,444 104,445 104,446 104,447 104,448 104,449 104,450 104,451 104,452 104,453 104,454 104,455 104,456 104,457 104,458 104,459 104,460

less more

Properties

Parity: Even
Digit count: 6
Digit sum: 21
Digit product: 0
Digital root: 3
Palindrome: No
Bit width: 17 bits
Reversed: 844,401
Recamán's sequence: a(92,295) = 104,448
Square (n²): 10,909,384,704
Cube (n³): 1,139,463,413,563,392
Divisor count: 48
σ(n) — sum of divisors: 294,840
φ(n) — Euler's totient: 32,768
Sum of prime factors: 42

Primality

Prime factorization: 2 ¹¹ × 3 × 17

Nearest primes: 104,417 (−31) · 104,459 (+11)

Divisors & multiples

All divisors (48)

1 · 2 · 3 · 4 · 6 · 8 · 12 · 16 · 17 · 24 · 32 · 34 · 48 · 51 · 64 · 68 · 96 · 102 · 128 · 136 · 192 · 204 · 256 · 272 · 384 · 408 · 512 · 544 · 768 · 816 · 1024 · 1088 · 1536 · 1632 · 2048 · 2176 · 3072 · 3264 · 4352 · 6144 · 6528 · 8704 · 13056 · 17408 · 26112 · 34816 · 52224 (half) · 104448

Aliquot sum (sum of proper divisors): 190,392

Factor pairs (a × b = 104,448)

1 × 104448

2 × 52224

3 × 34816

4 × 26112

6 × 17408

8 × 13056

12 × 8704

16 × 6528

17 × 6144

24 × 4352

32 × 3264

34 × 3072

48 × 2176

51 × 2048

64 × 1632

68 × 1536

96 × 1088

102 × 1024

128 × 816

136 × 768

192 × 544

204 × 512

256 × 408

272 × 384

First multiples

104,448 · 208,896 (double) · 313,344 · 417,792 · 522,240 · 626,688 · 731,136 · 835,584 · 940,032 · 1,044,480

Sums & aliquot sequence

As consecutive integers: 34,815 + 34,816 + 34,817 6,136 + 6,137 + … + 6,152 2,023 + 2,024 + … + 2,073

Aliquot sequence: 104,448 → 190,392 → 285,648 → 520,848 → 937,206 → 1,093,446 → 1,336,554 → 1,696,086 → 2,695,194 → 3,438,054 → 4,045,266 → 4,719,516 → 6,328,164 → 8,437,580 → 9,913,060 → 12,073,688 → 12,622,672 — unresolved within range

Continued fraction of √n

√104,448 = [323; (5, 2, 3, 12, 1, 9, 5, 1, 2, 1, 1, 1, 1, 18, 1, 39, 2, 4, 2, 2, 13, 2, 1, 9, …)]

Representations

In words: one hundred four thousand four hundred forty-eight
Ordinal: 104448th
Binary: 11001100000000000
Octal: 314000
Hexadecimal: 0x19800
Base64: AZgA
One's complement: 4,294,862,847 (32-bit)
Scientific notation: 1.04448 × 10⁵
As a duration: 104,448 s = 1 day, 5 hours, 48 seconds

In other bases

ternary (3) 12022021110

quaternary (4) 121200000

quinary (5) 11320243

senary (6) 2123320

septenary (7) 613341

nonary (9) 168243

undecimal (11) 71523

duodecimal (12) 50540

tridecimal (13) 38706

tetradecimal (14) 2a0c8

pentadecimal (15) 20e33

As an angle

104,448° = 290 × 360° + 48°

48° ≈ 0.838 rad

Compass bearing: NE (northeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 · 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓆐𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian): ͵ρδυμηʹ
Mayan (base 20): 𝋭·𝋡·𝋢·𝋨
Chinese: 一十萬四千四百四十八
Chinese (financial): 壹拾萬肆仟肆佰肆拾捌

In other modern scripts

Eastern Arabic ١٠٤٤٤٨ Devanagari १०४४४८ Bengali ১০৪৪৪৮ Tamil ௧௦௪௪௪௮ Thai ๑๐๔๔๔๘ Tibetan ༡༠༤༤༤༨ Khmer ១០៤៤៤៨ Lao ໑໐໔໔໔໘ Burmese ၁၀၄၄၄၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 104448, here are decompositions:

31 + 104417 = 104448
67 + 104381 = 104448
79 + 104369 = 104448
101 + 104347 = 104448
137 + 104311 = 104448
139 + 104309 = 104448
151 + 104297 = 104448
167 + 104281 = 104448

Showing the first eight; more decompositions exist.

Hex color

#019800

RGB(1, 152, 0)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.152.0.

Address: 0.1.152.0
Class: reserved
IPv4-mapped IPv6: ::ffff:0.1.152.0

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 104,448 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 US104,448 on Google Patents ↗ Look up on USPTO ↗