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144,731

144,731 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.).

144,731 (one hundred forty-four thousand seven hundred thirty-one) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x2355B.

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

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
20
Digit product
336
Digital root
2
Palindrome
No
Bit width
18 bits
Reversed
137,441
Recamán's sequence
a(218,954) = 144,731
Square (n²)
20,947,062,361
Cube (n³)
3,031,689,282,569,891
Divisor count
2
σ(n) — sum of divisors
144,732
φ(n) — Euler's totient
144,730

Primality

144,731 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 144731
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 144,731)
1 × 144731
First multiples
144,731 · 289,462 (double) · 434,193 · 578,924 · 723,655 · 868,386 · 1,013,117 · 1,157,848 · 1,302,579 · 1,447,310

Sums & aliquot sequence

As consecutive integers: 72,365 + 72,366

Continued fraction of √n

√144,731 = [380; (2, 3, 2, 1, 3, 7, 1, 4, 1, 2, 13, 2, 12, 2, 2, 2, 2, 2, 1, 5, 1, 2, 1, 6, …)]

Representations

In words
one hundred forty-four thousand seven hundred thirty-one
Ordinal
144731st
Binary
100011010101011011
Octal
432533
Hexadecimal
0x2355B
Base64
AjVb
One's complement
4,294,822,564 (32-bit)
Scientific notation
1.44731 × 10⁵
As a duration
144,731 s = 1 day, 16 hours, 12 minutes, 11 seconds
In other bases
ternary (3) 21100112102
quaternary (4) 203111123
quinary (5) 14112411
senary (6) 3034015
septenary (7) 1141646
nonary (9) 240472
undecimal (11) 99814
duodecimal (12) 6b90b
tridecimal (13) 50b52
tetradecimal (14) 3aa5d
pentadecimal (15) 2cd3b

As an angle

144,731° = 402 × 360° + 11°
11° ≈ 0.192 rad
Compass bearing: N (north)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒌋 𒌋𒁹𒁹 𒌋𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓏺
Greek (Milesian)
͵ρμδψλαʹ
Mayan (base 20)
𝋲·𝋡·𝋰·𝋫
Chinese
一十四萬四千七百三十一
Chinese (financial)
壹拾肆萬肆仟柒佰參拾壹
In other modern scripts
Eastern Arabic ١٤٤٧٣١ Devanagari १४४७३१ Bengali ১৪৪৭৩১ Tamil ௧௪௪௭௩௧ Thai ๑๔๔๗๓๑ Tibetan ༡༤༤༧༣༡ Khmer ១៤៤៧៣១ Lao ໑໔໔໗໓໑ Burmese ၁၄၄၇၃၁

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: sexy with 144737.

Unicode codepoint
𣕛
CJK Unified Ideograph-2355B
U+2355B
Other letter (Lo)

UTF-8 encoding: F0 A3 95 9B (4 bytes).

Hex color
#02355B
RGB(2, 53, 91)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.53.91.

Address
0.2.53.91
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.53.91

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 144,731 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 144731 first appears in π at position 125,709 of the decimal expansion (the 125,709ordinal-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.