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147,997

147,997 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.).

147,997 (one hundred forty-seven thousand nine hundred ninety-seven) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x2421D.

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

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
37
Digit product
15,876
Digital root
1
Palindrome
No
Bit width
18 bits
Reversed
799,741
Recamán's sequence
a(212,422) = 147,997
Square (n²)
21,903,112,009
Cube (n³)
3,241,594,867,995,973
Divisor count
2
σ(n) — sum of divisors
147,998
φ(n) — Euler's totient
147,996

Primality

147,997 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 147997
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 147,997)
1 × 147997
First multiples
147,997 · 295,994 (double) · 443,991 · 591,988 · 739,985 · 887,982 · 1,035,979 · 1,183,976 · 1,331,973 · 1,479,970

Sums & aliquot sequence

As a sum of two squares: 66² + 379²
As consecutive integers: 73,998 + 73,999

Continued fraction of √n

√147,997 = [384; (1, 2, 2, 1, 1, 1, 16, 1, 5, 1, 84, 1, 1, 1, 2, 1, 2, 2, 3, 1, 1, 1, 1, 6, …)]

Representations

In words
one hundred forty-seven thousand nine hundred ninety-seven
Ordinal
147997th
Binary
100100001000011101
Octal
441035
Hexadecimal
0x2421D
Base64
AkId
One's complement
4,294,819,298 (32-bit)
Scientific notation
1.47997 × 10⁵
As a duration
147,997 s = 1 day, 17 hours, 6 minutes, 37 seconds
In other bases
ternary (3) 21112000101
quaternary (4) 210020131
quinary (5) 14213442
senary (6) 3101101
septenary (7) 1154323
nonary (9) 245011
undecimal (11) a1213
duodecimal (12) 71791
tridecimal (13) 52495
tetradecimal (14) 3bd13
pentadecimal (15) 2dcb7

As an angle

147,997° = 411 × 360° + 37°
37° ≈ 0.646 rad
Compass bearing: NE (northeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒌋𒁹 𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρμζϡϟζʹ
Mayan (base 20)
𝋲·𝋩·𝋳·𝋱
Chinese
一十四萬七千九百九十七
Chinese (financial)
壹拾肆萬柒仟玖佰玖拾柒
In other modern scripts
Eastern Arabic ١٤٧٩٩٧ Devanagari १४७९९७ Bengali ১৪৭৯৯৭ Tamil ௧௪௭௯௯௭ Thai ๑๔๗๙๙๗ Tibetan ༡༤༧༩༩༧ Khmer ១៤៧៩៩៧ Lao ໑໔໗໙໙໗ Burmese ၁၄၇၉၉၇

Also seen as

Prime neighborhood

Adjacent primes:

Unicode codepoint
𤈝
CJK Unified Ideograph-2421D
U+2421D
Other letter (Lo)

UTF-8 encoding: F0 A4 88 9D (4 bytes).

Hex color
#02421D
RGB(2, 66, 29)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.66.29.

Address
0.2.66.29
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.66.29

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 147,997 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 147997 first appears in π at position 404,546 of the decimal expansion (the 404,546ordinal-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.