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146,521

146,521 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.).

146,521 (one hundred forty-six thousand five hundred twenty-one) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x23C59.

Arithmetic Number Cube-Free Deficient Number Emirp Odious Number Prime Pythagorean Prime Recamán's Sequence Sexy Prime Squarefree Twin Prime

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
19
Digit product
240
Digital root
1
Palindrome
No
Bit width
18 bits
Reversed
125,641
Recamán's sequence
a(215,374) = 146,521
Square (n²)
21,468,403,441
Cube (n³)
3,145,571,940,578,761
Divisor count
2
σ(n) — sum of divisors
146,522
φ(n) — Euler's totient
146,520

Primality

146,521 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 146521
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 146,521)
1 × 146521
First multiples
146,521 · 293,042 (double) · 439,563 · 586,084 · 732,605 · 879,126 · 1,025,647 · 1,172,168 · 1,318,689 · 1,465,210

Sums & aliquot sequence

As a sum of two squares: 261² + 280²
As consecutive integers: 73,260 + 73,261

Continued fraction of √n

√146,521 = [382; (1, 3, 1, 1, 3, 1, 3, 1, 6, 9, 2, 2, 1, 2, 1, 1, 13, 2, 1, 12, 1, 254, 3, 1, …)]

Representations

In words
one hundred forty-six thousand five hundred twenty-one
Ordinal
146521st
Binary
100011110001011001
Octal
436131
Hexadecimal
0x23C59
Base64
AjxZ
One's complement
4,294,820,774 (32-bit)
Scientific notation
1.46521 × 10⁵
As a duration
146,521 s = 1 day, 16 hours, 42 minutes, 1 second
In other bases
ternary (3) 21102222201
quaternary (4) 203301121
quinary (5) 14142041
senary (6) 3050201
septenary (7) 1150114
nonary (9) 242881
undecimal (11) a00a1
duodecimal (12) 70961
tridecimal (13) 518cb
tetradecimal (14) 3b57b
pentadecimal (15) 2d631

As an angle

146,521° = 407 × 360° + 1°
1° ≈ 0.017 rad
Compass bearing: N (north)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒌋 𒌋𒌋𒌋𒌋𒁹𒁹 𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓏺
Greek (Milesian)
͵ρμϛφκαʹ
Mayan (base 20)
𝋲·𝋦·𝋦·𝋡
Chinese
一十四萬六千五百二十一
Chinese (financial)
壹拾肆萬陸仟伍佰貳拾壹
In other modern scripts
Eastern Arabic ١٤٦٥٢١ Devanagari १४६५२१ Bengali ১৪৬৫২১ Tamil ௧௪௬௫௨௧ Thai ๑๔๖๕๒๑ Tibetan ༡༤༦༥༢༡ Khmer ១៤៦៥២១ Lao ໑໔໖໕໒໑ Burmese ၁၄၆၅၂၁

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: twin with 146519, sexy with 146527.

Unicode codepoint
𣱙
CJK Unified Ideograph-23C59
U+23C59
Other letter (Lo)

UTF-8 encoding: F0 A3 B1 99 (4 bytes).

Hex color
#023C59
RGB(2, 60, 89)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.60.89.

Address
0.2.60.89
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.60.89

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 146,521 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 146521 first appears in π at position 591,565 of the decimal expansion (the 591,565ordinal-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.