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147,401

147,401 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.).

147,401 (one hundred forty-seven thousand four hundred one) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x23FC9.

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

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
17
Digit product
0
Digital root
8
Palindrome
No
Bit width
18 bits
Reversed
104,741
Recamán's sequence
a(213,614) = 147,401
Square (n²)
21,727,054,801
Cube (n³)
3,202,589,604,722,201
Divisor count
2
σ(n) — sum of divisors
147,402
φ(n) — Euler's totient
147,400

Primality

147,401 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 147401
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 147,401)
1 × 147401
First multiples
147,401 · 294,802 (double) · 442,203 · 589,604 · 737,005 · 884,406 · 1,031,807 · 1,179,208 · 1,326,609 · 1,474,010

Sums & aliquot sequence

As a sum of two squares: 160² + 349²
As consecutive integers: 73,700 + 73,701

Continued fraction of √n

√147,401 = [383; (1, 12, 1, 25, 1, 1, 4, 1, 1, 2, 1, 4, 12, 2, 1, 1, 1, 17, 4, 3, 47, 1, 2, 6, …)]

Representations

In words
one hundred forty-seven thousand four hundred one
Ordinal
147401st
Binary
100011111111001001
Octal
437711
Hexadecimal
0x23FC9
Base64
Aj/J
One's complement
4,294,819,894 (32-bit)
Scientific notation
1.47401 × 10⁵
As a duration
147,401 s = 1 day, 16 hours, 56 minutes, 41 seconds
In other bases
ternary (3) 21111012022
quaternary (4) 203333021
quinary (5) 14204101
senary (6) 3054225
septenary (7) 1152512
nonary (9) 244168
undecimal (11) a0821
duodecimal (12) 71375
tridecimal (13) 52127
tetradecimal (14) 3ba09
pentadecimal (15) 2da1b

As an angle

147,401° = 409 × 360° + 161°
161° ≈ 2.81 rad
Compass bearing: SSE (south-southeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒌋 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓏺
Greek (Milesian)
͵ρμζυαʹ
Mayan (base 20)
𝋲·𝋨·𝋪·𝋡
Chinese
一十四萬七千四百零一
Chinese (financial)
壹拾肆萬柒仟肆佰零壹
In other modern scripts
Eastern Arabic ١٤٧٤٠١ Devanagari १४७४०१ Bengali ১৪৭৪০১ Tamil ௧௪௭௪௦௧ Thai ๑๔๗๔๐๑ Tibetan ༡༤༧༤༠༡ Khmer ១៤៧៤០១ Lao ໑໔໗໔໐໑ Burmese ၁၄၇၄၀၁

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: cousin with 147397.

Unicode codepoint
𣿉
CJK Unified Ideograph-23Fc9
U+23FC9
Other letter (Lo)

UTF-8 encoding: F0 A3 BF 89 (4 bytes).

Hex color
#023FC9
RGB(2, 63, 201)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.63.201.

Address
0.2.63.201
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.63.201

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 147,401 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 147401 first appears in π at position 601,917 of the decimal expansion (the 601,917ordinal-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.