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146,701

146,701 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.).

146,701 (one hundred forty-six thousand seven hundred one) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x23D0D.

Arithmetic Number Balanced Prime Cube-Free Deficient Number Emirp Happy Number Odious Number Prime Pythagorean Prime Recamán's Sequence Squarefree

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
19
Digit product
0
Digital root
1
Palindrome
No
Bit width
18 bits
Reversed
107,641
Recamán's sequence
a(215,014) = 146,701
Square (n²)
21,521,183,401
Cube (n³)
3,157,179,126,110,101
Divisor count
2
σ(n) — sum of divisors
146,702
φ(n) — Euler's totient
146,700

Primality

146,701 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 146701
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 146,701)
1 × 146701
First multiples
146,701 · 293,402 (double) · 440,103 · 586,804 · 733,505 · 880,206 · 1,026,907 · 1,173,608 · 1,320,309 · 1,467,010

Sums & aliquot sequence

As a sum of two squares: 99² + 370²
As consecutive integers: 73,350 + 73,351

Continued fraction of √n

√146,701 = [383; (63, 1, 5, 21, 8, 1, 27, 2, 13, 2, 3, 2, 4, 6, 1, 2, 11, 1, 4, 3, 1, 8, 2, 1, …)]

Representations

In words
one hundred forty-six thousand seven hundred one
Ordinal
146701st
Binary
100011110100001101
Octal
436415
Hexadecimal
0x23D0D
Base64
Aj0N
One's complement
4,294,820,594 (32-bit)
Scientific notation
1.46701 × 10⁵
As a duration
146,701 s = 1 day, 16 hours, 45 minutes, 1 second
In other bases
ternary (3) 21110020101
quaternary (4) 203310031
quinary (5) 14143301
senary (6) 3051101
septenary (7) 1150462
nonary (9) 243211
undecimal (11) a0245
duodecimal (12) 70a91
tridecimal (13) 51a09
tetradecimal (14) 3b669
pentadecimal (15) 2d701

As an angle

146,701° = 407 × 360° + 181°
181° ≈ 3.159 rad
Compass bearing: S (south)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒌋 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓏺
Greek (Milesian)
͵ρμϛψαʹ
Mayan (base 20)
𝋲·𝋦·𝋯·𝋡
Chinese
一十四萬六千七百零一
Chinese (financial)
壹拾肆萬陸仟柒佰零壹
In other modern scripts
Eastern Arabic ١٤٦٧٠١ Devanagari १४६७०१ Bengali ১৪৬৭০১ Tamil ௧௪௬௭௦௧ Thai ๑๔๖๗๐๑ Tibetan ༡༤༦༧༠༡ Khmer ១៤៦៧០១ Lao ໑໔໖໗໐໑ Burmese ၁၄၆၇၀၁

Also seen as

Prime neighborhood

Adjacent primes:

Unicode codepoint
𣴍
CJK Unified Ideograph-23D0D
U+23D0D
Other letter (Lo)

UTF-8 encoding: F0 A3 B4 8D (4 bytes).

Hex color
#023D0D
RGB(2, 61, 13)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.61.13.

Address
0.2.61.13
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.61.13

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 146,701 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 146701 first appears in π at position 556,364 of the decimal expansion (the 556,364ordinal-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.
  • Egyptian hieroglyphic numerals — Seven hieroglyphs for every power of ten, from a single stroke to a million.