3,642,789

3 × 443 × 2741

3,642,789 has digital root 3. The neighboring primes are 3642739 and 3642791; its proper-divisor sum differs from the starting integer by -2,415,786.

Prime Factor Structure

Factorization String 3 × 443 × 2741

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 4,869,792

Proper Divisor Sum 1,227,003

Digit Sum / Digital Root 39 (Root: 3)

Adjacent Primes #3642739 ← → #3642791

Radix Representation

Decimal	3642789
Binary	1101111001010110100101 (22 bits)
Octal	0o15712645
Hexadecimal	0x3795A5

Divisor Catalog (8)

1 3 443 1,329 2,741 8,223 1,214,263 3,642,789

Collatz Trajectory (159 steps to reach 1)

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

3,642,789 10,928,368 5,464,184 2,732,092 1,366,046 683,023 2,049,070 1,024,535 3,073,606 1,536,803 4,610,410 2,305,205 6,915,616 3,457,808 1,728,904 864,452 432,226 216,113 648,340 324,170 162,085 486,256 243,128 121,564 60,782 30,391 91,174 45,587 136,762 68,381 205,144 102,572 51,286 25,643 76,930 38,465 115,396 57,698 28,849 86,548 43,274 21,637 64,912 32,456 16,228 8,114 4,057 12,172 6,086 3,043 9,130 4,565 13,696 6,848 3,424 1,712 856 428 214 107

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