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148,991

148,991 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.).

148,991 (one hundred forty-eight thousand nine hundred ninety-one) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x245FF.

Arithmetic Number Cube-Free Deficient Number Evil Number Prime Recamán's Sequence Sexy Prime Squarefree

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
32
Digit product
2,592
Digital root
5
Palindrome
No
Bit width
18 bits
Reversed
199,841
Recamán's sequence
a(211,150) = 148,991
Square (n²)
22,198,318,081
Cube (n³)
3,307,349,609,206,271
Divisor count
2
σ(n) — sum of divisors
148,992
φ(n) — Euler's totient
148,990

Primality

148,991 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 148991
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 148,991)
1 × 148991
First multiples
148,991 · 297,982 (double) · 446,973 · 595,964 · 744,955 · 893,946 · 1,042,937 · 1,191,928 · 1,340,919 · 1,489,910

Sums & aliquot sequence

As consecutive integers: 74,495 + 74,496

Continued fraction of √n

√148,991 = [385; (1, 153, 2, 1, 1, 30, 3, 1, 1, 2, 1, 5, 2, 5, 5, 1, 2, 2, 4, 5, 16, 4, 3, 1, …)]

Representations

In words
one hundred forty-eight thousand nine hundred ninety-one
Ordinal
148991st
Binary
100100010111111111
Octal
442777
Hexadecimal
0x245FF
Base64
AkX/
One's complement
4,294,818,304 (32-bit)
Scientific notation
1.48991 × 10⁵
As a duration
148,991 s = 1 day, 17 hours, 23 minutes, 11 seconds
In other bases
ternary (3) 21120101012
quaternary (4) 210113333
quinary (5) 14231431
senary (6) 3105435
septenary (7) 1160243
nonary (9) 246335
undecimal (11) a1a37
duodecimal (12) 7227b
tridecimal (13) 52a7b
tetradecimal (14) 3c423
pentadecimal (15) 2e22b

As an angle

148,991° = 413 × 360° + 311°
311° ≈ 5.428 rad
Compass bearing: NW (northwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒌋𒁹 𒌋𒌋𒁹𒁹𒁹 𒌋𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺
Greek (Milesian)
͵ρμηϡϟαʹ
Mayan (base 20)
𝋲·𝋬·𝋩·𝋫
Chinese
一十四萬八千九百九十一
Chinese (financial)
壹拾肆萬捌仟玖佰玖拾壹
In other modern scripts
Eastern Arabic ١٤٨٩٩١ Devanagari १४८९९१ Bengali ১৪৮৯৯১ Tamil ௧௪௮௯௯௧ Thai ๑๔๘๙๙๑ Tibetan ༡༤༨༩༩༡ Khmer ១៤៨៩៩១ Lao ໑໔໘໙໙໑ Burmese ၁၄၈၉၉၁

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: sexy with 148997.

Unicode codepoint
𤗿
CJK Unified Ideograph-245Ff
U+245FF
Other letter (Lo)

UTF-8 encoding: F0 A4 97 BF (4 bytes).

Hex color
#0245FF
RGB(2, 69, 255)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.69.255.

Address
0.2.69.255
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.69.255

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 148,991 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 148991 first appears in π at position 24,308 of the decimal expansion (the 24,308ordinal-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.