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146,977

146,977 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.).

146,977 (one hundred forty-six thousand nine hundred seventy-seven) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x23E21.

Arithmetic Number Cube-Free Deficient Number Evil Number Prime Pythagorean Prime Recamán's Sequence Sexy Prime Squarefree

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
34
Digit product
10,584
Digital root
7
Palindrome
No
Bit width
18 bits
Reversed
779,641
Recamán's sequence
a(214,462) = 146,977
Square (n²)
21,602,238,529
Cube (n³)
3,175,032,212,276,833
Divisor count
2
σ(n) — sum of divisors
146,978
φ(n) — Euler's totient
146,976

Primality

146,977 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 146977
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 146,977)
1 × 146977
First multiples
146,977 · 293,954 (double) · 440,931 · 587,908 · 734,885 · 881,862 · 1,028,839 · 1,175,816 · 1,322,793 · 1,469,770

Sums & aliquot sequence

As a sum of two squares: 104² + 369²
As consecutive integers: 73,488 + 73,489

Continued fraction of √n

√146,977 = [383; (2, 1, 1, 1, 19, 28, 2, 1, 7, 3, 6, 4, 3, 1, 1, 1, 6, 1, 2, 1, 3, 3, 1, 31, …)]

Representations

In words
one hundred forty-six thousand nine hundred seventy-seven
Ordinal
146977th
Binary
100011111000100001
Octal
437041
Hexadecimal
0x23E21
Base64
Aj4h
One's complement
4,294,820,318 (32-bit)
Scientific notation
1.46977 × 10⁵
As a duration
146,977 s = 1 day, 16 hours, 49 minutes, 37 seconds
In other bases
ternary (3) 21110121121
quaternary (4) 203320201
quinary (5) 14200402
senary (6) 3052241
septenary (7) 1151335
nonary (9) 243547
undecimal (11) a0476
duodecimal (12) 71081
tridecimal (13) 51b8c
tetradecimal (14) 3b7c5
pentadecimal (15) 2d837

As an angle

146,977° = 408 × 360° + 97°
97° ≈ 1.693 rad
Compass bearing: E (east)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒌋 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρμϛϡοζʹ
Mayan (base 20)
𝋲·𝋧·𝋨·𝋱
Chinese
一十四萬六千九百七十七
Chinese (financial)
壹拾肆萬陸仟玖佰柒拾柒
In other modern scripts
Eastern Arabic ١٤٦٩٧٧ Devanagari १४६९७७ Bengali ১৪৬৯৭৭ Tamil ௧௪௬௯௭௭ Thai ๑๔๖๙๗๗ Tibetan ༡༤༦༩༧༧ Khmer ១៤៦៩៧៧ Lao ໑໔໖໙໗໗ Burmese ၁၄၆၉၇၇

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: sexy with 146983.

Unicode codepoint
𣸡
CJK Unified Ideograph-23E21
U+23E21
Other letter (Lo)

UTF-8 encoding: F0 A3 B8 A1 (4 bytes).

Hex color
#023E21
RGB(2, 62, 33)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.62.33.

Address
0.2.62.33
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.62.33

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 146,977 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 146977 first appears in π at position 11,674 of the decimal expansion (the 11,674ordinal-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.