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148,829

148,829 is a prime, odd.

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.).

148,829 (one hundred forty-eight thousand eight hundred twenty-nine) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x2455D.

Arithmetic Number Chen Prime Cube-Free Deficient Number Happy Number Odious Number Prime Pythagorean Prime Recamán's Sequence Sophie Germain Prime Squarefree

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
32
Digit product
4,608
Digital root
5
Palindrome
No
Bit width
18 bits
Reversed
928,841
Recamán's sequence
a(43,278) = 148,829
Square (n²)
22,150,071,241
Cube (n³)
3,296,572,952,726,789
Divisor count
2
σ(n) — sum of divisors
148,830
φ(n) — Euler's totient
148,828

Primality

148,829 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 148829
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 148,829)
1 × 148829
First multiples
148,829 · 297,658 (double) · 446,487 · 595,316 · 744,145 · 892,974 · 1,041,803 · 1,190,632 · 1,339,461 · 1,488,290

Sums & aliquot sequence

As a sum of two squares: 245² + 298²
As consecutive integers: 74,414 + 74,415

Continued fraction of √n

√148,829 = [385; (1, 3, 1, 1, 1, 1, 1, 3, 1, 3, 1, 2, 2, 1, 3, 1, 3, 1, 1, 1, 1, 1, 3, 1, …)]

Period length 25 — the block in parentheses repeats forever.

Representations

In words
one hundred forty-eight thousand eight hundred twenty-nine
Ordinal
148829th
Binary
100100010101011101
Octal
442535
Hexadecimal
0x2455D
Base64
AkVd
One's complement
4,294,818,466 (32-bit)
Scientific notation
1.48829 × 10⁵
As a duration
148,829 s = 1 day, 17 hours, 20 minutes, 29 seconds
In other bases
ternary (3) 21120011012
quaternary (4) 210111131
quinary (5) 14230304
senary (6) 3105005
septenary (7) 1156622
nonary (9) 246135
undecimal (11) a18aa
duodecimal (12) 72165
tridecimal (13) 52985
tetradecimal (14) 3c349
pentadecimal (15) 2e16e

As an angle

148,829° = 413 × 360° + 149°
149° ≈ 2.601 rad
Compass bearing: SSE (south-southeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒌋𒁹 𒌋𒌋 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρμηωκθʹ
Mayan (base 20)
𝋲·𝋬·𝋡·𝋩
Chinese
一十四萬八千八百二十九
Chinese (financial)
壹拾肆萬捌仟捌佰貳拾玖
In other modern scripts
Eastern Arabic ١٤٨٨٢٩ Devanagari १४८८२९ Bengali ১৪৮৮২৯ Tamil ௧௪௮௮௨௯ Thai ๑๔๘๘๒๙ Tibetan ༡༤༨༨༢༩ Khmer ១៤៨៨២៩ Lao ໑໔໘໘໒໙ Burmese ၁၄၈၈၂၉

Also seen as

Prime neighborhood

Adjacent primes:

Unicode codepoint
𤕝
CJK Unified Ideograph-2455D
U+2455D
Other letter (Lo)

UTF-8 encoding: F0 A4 95 9D (4 bytes).

Hex color
#02455D
RGB(2, 69, 93)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.69.93.

Address
0.2.69.93
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.69.93

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 148,829 and was likely granted around 1873.

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

Position in π

The digit sequence 148829 first appears in π at position 221,015 of the decimal expansion (the 221,015ordinal-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

  • Prime numbers — The building blocks of arithmetic: what primes are, why they matter, and how we find them.
  • Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.