λ
Harmonic Matrix

369,699

3 × 11 × 17 × 659
Deficient Odd Composite

369,699 has digital root 6. The neighboring primes are 369673 and 369703; its proper-divisor sum differs from the starting integer by -169,158.

Prime Factor Structure

Factorization String 3 × 11 × 17 × 659
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 570,240
Proper Divisor Sum 200,541
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #369673 ← → #369703

Radix Representation

Decimal 369699
Binary 1011010010000100011 (19 bits)
Octal 0o1322043
Hexadecimal 0x5A423

Divisor Catalog (16)

1 3 11 17 33 51 187 561 659 1,977 7,249 11,203 21,747 33,609 123,233 369,699

Collatz Trajectory (148 steps to reach 1)

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

369,699 1,109,098 554,549 1,663,648 831,824 415,912 207,956 103,978 51,989 155,968 77,984 38,992 19,496 9,748 4,874 2,437 7,312 3,656 1,828 914 457 1,372 686 343 1,030 515 1,546 773 2,320 1,160 580 290 145 436 218 109 328 164 82 41 124 62 31 94 47 142 71 214 107 322 161 484 242 121 364 182 91 274 137 412

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