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146,921

146,921 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.).

146,921 (one hundred forty-six thousand nine 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, 0x23DE9.

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

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
23
Digit product
432
Digital root
5
Palindrome
No
Bit width
18 bits
Reversed
129,641
Recamán's sequence
a(214,574) = 146,921
Square (n²)
21,585,780,241
Cube (n³)
3,171,404,418,787,961
Divisor count
2
σ(n) — sum of divisors
146,922
φ(n) — Euler's totient
146,920

Primality

146,921 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 146921
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 146,921)
1 × 146921
First multiples
146,921 · 293,842 (double) · 440,763 · 587,684 · 734,605 · 881,526 · 1,028,447 · 1,175,368 · 1,322,289 · 1,469,210

Sums & aliquot sequence

As a sum of two squares: 211² + 320²
As consecutive integers: 73,460 + 73,461

Continued fraction of √n

√146,921 = [383; (3, 3, 3, 3, 766)]

Period length 5 — the block in parentheses repeats forever.

Representations

In words
one hundred forty-six thousand nine hundred twenty-one
Ordinal
146921st
Binary
100011110111101001
Octal
436751
Hexadecimal
0x23DE9
Base64
Aj3p
One's complement
4,294,820,374 (32-bit)
Scientific notation
1.46921 × 10⁵
As a duration
146,921 s = 1 day, 16 hours, 48 minutes, 41 seconds
In other bases
ternary (3) 21110112112
quaternary (4) 203313221
quinary (5) 14200141
senary (6) 3052105
septenary (7) 1151225
nonary (9) 243475
undecimal (11) a0425
duodecimal (12) 71035
tridecimal (13) 51b48
tetradecimal (14) 3b785
pentadecimal (15) 2d7eb

As an angle

146,921° = 408 × 360° + 41°
41° ≈ 0.716 rad
Compass bearing: NE (northeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒌋 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓏺
Greek (Milesian)
͵ρμϛϡκαʹ
Mayan (base 20)
𝋲·𝋧·𝋦·𝋡
Chinese
一十四萬六千九百二十一
Chinese (financial)
壹拾肆萬陸仟玖佰貳拾壹
In other modern scripts
Eastern Arabic ١٤٦٩٢١ Devanagari १४६९२१ Bengali ১৪৬৯২১ Tamil ௧௪௬௯௨௧ Thai ๑๔๖๙๒๑ Tibetan ༡༤༦༩༢༡ Khmer ១៤៦៩២១ Lao ໑໔໖໙໒໑ Burmese ၁၄၆၉၂၁

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: cousin with 146917.

Unicode codepoint
𣷩
CJK Unified Ideograph-23De9
U+23DE9
Other letter (Lo)

UTF-8 encoding: F0 A3 B7 A9 (4 bytes).

Hex color
#023DE9
RGB(2, 61, 233)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.61.233.

Address
0.2.61.233
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.61.233

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 146,921 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 146921 first appears in π at position 136,548 of the decimal expansion (the 136,548ordinal-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.