Live analysis

122,742

122,742 is a composite number, even.

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.).

122,742 (one hundred twenty-two thousand seven hundred forty-two) is an even 6-digit number. It is a composite number with 16 divisors, and factors as 2 × 3³ × 2,273. Its proper divisors sum to 150,138, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1DF76.

Abundant Number Arithmetic Number Harshad / Niven Odious Number Pernicious Number Semiperfect Number

Interestingness

★ ☆ ☆ ☆ ☆

3 notable facts · grade F

122,730 122,731 122,732 122,733 122,734 122,735 122,736 122,737 122,738 122,739 122,740 122,741 122,742 122,743 122,744 122,745 122,746 122,747 122,748 122,749 122,750 122,751 122,752 122,753 122,754

less more

Properties

Parity: Even
Digit count: 6
Digit sum: 18
Digit product: 224
Digital root: 9
Palindrome: No
Bit width: 17 bits
Reversed: 247,221
Square (n²): 15,065,598,564
Cube (n³): 1,849,181,698,942,488
Divisor count: 16
σ(n) — sum of divisors: 272,880
φ(n) — Euler's totient: 40,896
Sum of prime factors: 2,284

Primality

Prime factorization: 2 × 3 ³ × 2273

Nearest primes: 122,741 (−1) · 122,743 (+1)

Divisors & multiples

All divisors (16)

1 · 2 · 3 · 6 · 9 · 18 · 27 · 54 · 2273 · 4546 · 6819 · 13638 · 20457 · 40914 · 61371 (half) · 122742

Aliquot sum (sum of proper divisors): 150,138

Factor pairs (a × b = 122,742)

1 × 122742

2 × 61371

3 × 40914

6 × 20457

9 × 13638

18 × 6819

27 × 4546

54 × 2273

First multiples

122,742 · 245,484 (double) · 368,226 · 490,968 · 613,710 · 736,452 · 859,194 · 981,936 · 1,104,678 · 1,227,420

Sums & aliquot sequence

As consecutive integers: 40,913 + 40,914 + 40,915 30,684 + 30,685 + 30,686 + 30,687 13,634 + 13,635 + … + 13,642 10,223 + 10,224 + … + 10,234

Aliquot sequence: 122,742 → 150,138 → 193,062 → 210,138 → 210,150 → 355,662 → 414,978 → 414,990 → 751,410 → 1,546,830 → 2,833,650 → 4,978,350 → 10,458,162 → 17,846,478 → 24,610,482 → 32,814,522 → 50,094,486 — unresolved within range

Continued fraction of √n

√122,742 = [350; (2, 1, 8, 2, 3, 4, 3, 1, 4, 2, 6, 1, 2, 3, 3, 1, 1, 4, 2, 1, 2, 2, 12, 1, …)]

Representations

In words: one hundred twenty-two thousand seven hundred forty-two
Ordinal: 122742nd
Binary: 11101111101110110
Octal: 357566
Hexadecimal: 0x1DF76
Base64: Ad92
One's complement: 4,294,844,553 (32-bit)
Scientific notation: 1.22742 × 10⁵
As a duration: 122,742 s = 1 day, 10 hours, 5 minutes, 42 seconds

In other bases

ternary (3) 20020101000

quaternary (4) 131331312

quinary (5) 12411432

senary (6) 2344130

septenary (7) 1020564

nonary (9) 206330

undecimal (11) 84244

duodecimal (12) 5b046

tridecimal (13) 43b39

tetradecimal (14) 32a34

pentadecimal (15) 2657c

As an angle

122,742° = 340 × 360° + 342°

342° ≈ 5.969 rad

Compass bearing: NNW (north-northwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic: 𓆐𓂍𓂍𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian): ͵ρκβψμβʹ
Mayan (base 20): 𝋯·𝋦·𝋱·𝋢
Chinese: 一十二萬二千七百四十二
Chinese (financial): 壹拾貳萬貳仟柒佰肆拾貳

In other modern scripts

Eastern Arabic ١٢٢٧٤٢ Devanagari १२२७४२ Bengali ১২২৭৪২ Tamil ௧௨௨௭௪௨ Thai ๑๒๒๗๔๒ Tibetan ༡༢༢༧༤༢ Khmer ១២២៧៤២ Lao ໑໒໒໗໔໒ Burmese ၁၂၂၇၄၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 122742, here are decompositions:

23 + 122719 = 122742
41 + 122701 = 122742
79 + 122663 = 122742
89 + 122653 = 122742
131 + 122611 = 122742
163 + 122579 = 122742
181 + 122561 = 122742
233 + 122509 = 122742

Showing the first eight; more decompositions exist.

Hex color

#01DF76

RGB(1, 223, 118)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.223.118.

Address: 0.1.223.118
Class: reserved
IPv4-mapped IPv6: ::ffff:0.1.223.118

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 122,742 and was likely granted around 1871.

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

Look up US122,742 on Google Patents ↗ Look up on USPTO ↗

Position in π

The digit sequence 122742 first appears in π at position 790,461 of the decimal expansion (the 790,461ordinal-suffix:st 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.

Look up 122742 on Pi Search ↗