λ
Harmonic Matrix

3,642,670

2 × 5 × 364267
Deficient Even Composite

3,642,670 has digital root 1. The neighboring primes are 3642649 and 3642673; its proper-divisor sum differs from the starting integer by -728,516.

Prime Factor Structure

Factorization String 2 × 5 × 364267
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 6,556,824
Proper Divisor Sum 2,914,154
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #3642649 ← → #3642673

Radix Representation

Decimal 3642670
Binary 1101111001010100101110 (22 bits)
Octal 0o15712456
Hexadecimal 0x37952E

Divisor Catalog (8)

1 2 5 10 364,267 728,534 1,821,335 3,642,670

Collatz Trajectory (97 steps to reach 1)

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

3,642,670 1,821,335 5,464,006 2,732,003 8,196,010 4,098,005 12,294,016 6,147,008 3,073,504 1,536,752 768,376 384,188 192,094 96,047 288,142 144,071 432,214 216,107 648,322 324,161 972,484 486,242 243,121 729,364 364,682 182,341 547,024 273,512 136,756 68,378 34,189 102,568 51,284 25,642 12,821 38,464 19,232 9,616 4,808 2,404 1,202 601 1,804 902 451 1,354 677 2,032 1,016 508 254 127 382 191 574 287 862 431 1,294 647

More profiles

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