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138,977

138,977 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.).

138,977 (one hundred thirty-eight 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, 0x21EE1.

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

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
35
Digit product
10,584
Digital root
8
Palindrome
No
Bit width
18 bits
Reversed
779,831
Recamán's sequence
a(490,873) = 138,977
Square (n²)
19,314,606,529
Cube (n³)
2,684,286,071,580,833
Divisor count
2
σ(n) — sum of divisors
138,978
φ(n) — Euler's totient
138,976

Primality

138,977 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 138977
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 138,977)
1 × 138977
First multiples
138,977 · 277,954 (double) · 416,931 · 555,908 · 694,885 · 833,862 · 972,839 · 1,111,816 · 1,250,793 · 1,389,770

Sums & aliquot sequence

As a sum of two squares: 256² + 271²
As consecutive integers: 69,488 + 69,489

Continued fraction of √n

√138,977 = [372; (1, 3, 1, 9, 1, 2, 2, 1, 6, 1, 2, 7, 2, 1, 22, 1, 1, 1, 1, 1, 1, 1, 4, 1, …)]

Representations

In words
one hundred thirty-eight thousand nine hundred seventy-seven
Ordinal
138977th
Binary
100001111011100001
Octal
417341
Hexadecimal
0x21EE1
Base64
Ah7h
One's complement
4,294,828,318 (32-bit)
Scientific notation
1.38977 × 10⁵
As a duration
138,977 s = 1 day, 14 hours, 36 minutes, 17 seconds
In other bases
ternary (3) 21001122022
quaternary (4) 201323201
quinary (5) 13421402
senary (6) 2551225
septenary (7) 1116116
nonary (9) 231568
undecimal (11) 95463
duodecimal (12) 68515
tridecimal (13) 4b347
tetradecimal (14) 3890d
pentadecimal (15) 2b2a2

As an angle

138,977° = 386 × 360° + 17°
17° ≈ 0.297 rad
Compass bearing: NNE (north-northeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρληϡοζʹ
Mayan (base 20)
𝋱·𝋧·𝋨·𝋱
Chinese
一十三萬八千九百七十七
Chinese (financial)
壹拾參萬捌仟玖佰柒拾柒
In other modern scripts
Eastern Arabic ١٣٨٩٧٧ Devanagari १३८९७७ Bengali ১৩৮৯৭৭ Tamil ௧௩௮௯௭௭ Thai ๑๓๘๙๗๗ Tibetan ༡༣༨༩༧༧ Khmer ១៣៨៩៧៧ Lao ໑໓໘໙໗໗ Burmese ၁၃၈၉၇၇

Also seen as

Prime neighborhood

Adjacent primes:

Unicode codepoint
𡻡
CJK Unified Ideograph-21Ee1
U+21EE1
Other letter (Lo)

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

Hex color
#021EE1
RGB(2, 30, 225)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.30.225.

Address
0.2.30.225
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.30.225

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 138,977 and was likely granted around 1872.

Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.

Position in π

The digit sequence 138977 first appears in π at position 48,024 of the decimal expansion (the 48,024ordinal-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.