Live analysis

101,742

101,742 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.).

101,742 (one hundred one thousand seven hundred forty-two) is an even 6-digit number. It is a composite number with 16 divisors, and factors as 2 × 3 × 31 × 547. Its proper divisors sum to 108,690, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x18D6E.

Abundant Number Arithmetic Number Cube-Free Evil Number Semiperfect Number Squarefree

Interestingness

★ ★ ☆ ☆ ☆

4 notable facts · grade D

101,730 101,731 101,732 101,733 101,734 101,735 101,736 101,737 101,738 101,739 101,740 101,741 101,742 101,743 101,744 101,745 101,746 101,747 101,748 101,749 101,750 101,751 101,752 101,753 101,754

less more

Properties

Parity: Even
Digit count: 6
Digit sum: 15
Digit product: 0
Digital root: 6
Palindrome: No
Bit width: 17 bits
Reversed: 247,101
Square (n²): 10,351,434,564
Cube (n³): 1,053,175,655,410,488
Divisor count: 16
σ(n) — sum of divisors: 210,432
φ(n) — Euler's totient: 32,760
Sum of prime factors: 583

Primality

Prime factorization: 2 × 3 × 31 × 547

Nearest primes: 101,741 (−1) · 101,747 (+5)

Divisors & multiples

All divisors (16)

1 · 2 · 3 · 6 · 31 · 62 · 93 · 186 · 547 · 1094 · 1641 · 3282 · 16957 · 33914 · 50871 (half) · 101742

Aliquot sum (sum of proper divisors): 108,690

Factor pairs (a × b = 101,742)

1 × 101742

2 × 50871

3 × 33914

6 × 16957

31 × 3282

62 × 1641

93 × 1094

186 × 547

First multiples

101,742 · 203,484 (double) · 305,226 · 406,968 · 508,710 · 610,452 · 712,194 · 813,936 · 915,678 · 1,017,420

Sums & aliquot sequence

As consecutive integers: 33,913 + 33,914 + 33,915 25,434 + 25,435 + 25,436 + 25,437 8,473 + 8,474 + … + 8,484 3,267 + 3,268 + … + 3,297

Aliquot sequence: 101,742 → 108,690 → 152,238 → 152,250 → 297,030 → 415,914 → 425,238 → 559,722 → 559,734 → 719,754 → 925,494 → 951,738 → 968,262 → 968,274 → 1,267,806 → 1,378,338 → 1,669,854 — unresolved within range

Continued fraction of √n

√101,742 = [318; (1, 32, 1, 1, 2, 1, 2, 1, 2, 1, 1, 32, 1, 636)]

Period length 14 — the block in parentheses repeats forever.

Representations

In words: one hundred one thousand seven hundred forty-two
Ordinal: 101742nd
Binary: 11000110101101110
Octal: 306556
Hexadecimal: 0x18D6E
Base64: AY1u
One's complement: 4,294,865,553 (32-bit)
Scientific notation: 1.01742 × 10⁵
As a duration: 101,742 s = 1 day, 4 hours, 15 minutes, 42 seconds

In other bases

ternary (3) 12011120020

quaternary (4) 120311232

quinary (5) 11223432

senary (6) 2103010

septenary (7) 602424

nonary (9) 164506

undecimal (11) 6a493

duodecimal (12) 4aa66

tridecimal (13) 37404

tetradecimal (14) 29114

pentadecimal (15) 2022c

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic: 𓆐𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian): ͵ραψμβʹ
Mayan (base 20): 𝋬·𝋮·𝋧·𝋢
Chinese: 一十萬一千七百四十二
Chinese (financial): 壹拾萬壹仟柒佰肆拾貳

In other modern scripts

Eastern Arabic ١٠١٧٤٢ Devanagari १०१७४२ Bengali ১০১৭৪২ Tamil ௧௦௧௭௪௨ Thai ๑๐๑๗๔๒ Tibetan ༡༠༡༧༤༢ Khmer ១០១៧៤២ Lao ໑໐໑໗໔໒ Burmese ၁၀၁၇၄၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 101742, here are decompositions:

5 + 101737 = 101742
19 + 101723 = 101742
23 + 101719 = 101742
41 + 101701 = 101742
61 + 101681 = 101742
79 + 101663 = 101742
89 + 101653 = 101742
101 + 101641 = 101742

Showing the first eight; more decompositions exist.

Hex color

#018D6E

RGB(1, 141, 110)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.141.110.

Address: 0.1.141.110
Class: reserved
IPv4-mapped IPv6: ::ffff:0.1.141.110

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 101,742 and was likely granted around 1870.

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

Look up US101,742 on Google Patents ↗ Look up on USPTO ↗