λ
Prime Ledger

3,742,645

5 × 191 × 3919
Deficient Odd Composite

3,742,645 has the prime decomposition 5 × 191 × 3919. Its 3 distinct prime factors produce 8 positive divisors.

Prime Factor Structure

Factorization String 5 × 191 × 3919
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 4,515,840
Proper Divisor Sum 773,195
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #3742633 ← → #3742649

Radix Representation

Decimal 3742645
Binary 1110010001101110110101 (22 bits)
Octal 0o16215665
Hexadecimal 0x391BB5

Divisor Catalog (8)

1 5 191 955 3,919 19,595 748,529 3,742,645

Collatz Trajectory (203 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

3,742,645 11,227,936 5,613,968 2,806,984 1,403,492 701,746 350,873 1,052,620 526,310 263,155 789,466 394,733 1,184,200 592,100 296,050 148,025 444,076 222,038 111,019 333,058 166,529 499,588 249,794 124,897 374,692 187,346 93,673 281,020 140,510 70,255 210,766 105,383 316,150 158,075 474,226 237,113 711,340 355,670 177,835 533,506 266,753 800,260 400,130 200,065 600,196 300,098 150,049 450,148 225,074 112,537 337,612 168,806 84,403 253,210 126,605 379,816 189,908 94,954 47,477 142,432

More profiles

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