λ
Harmonic Matrix

3,392,741

11 × 17 × 18143
Deficient Odd Composite

3,392,741 has digital root 2. The neighboring primes are 3392737 and 3392771; its proper-divisor sum differs from the starting integer by -2,866,378.

Prime Factor Structure

Factorization String 11 × 17 × 18143
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 3,919,104
Proper Divisor Sum 526,363
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #3392737 ← → #3392771

Radix Representation

Decimal 3392741
Binary 1100111100010011100101 (22 bits)
Octal 0o14742345
Hexadecimal 0x33C4E5

Divisor Catalog (8)

1 11 17 187 18,143 199,573 308,431 3,392,741

Collatz Trajectory (252 steps to reach 1)

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

3,392,741 10,178,224 5,089,112 2,544,556 1,272,278 636,139 1,908,418 954,209 2,862,628 1,431,314 715,657 2,146,972 1,073,486 536,743 1,610,230 805,115 2,415,346 1,207,673 3,623,020 1,811,510 905,755 2,717,266 1,358,633 4,075,900 2,037,950 1,018,975 3,056,926 1,528,463 4,585,390 2,292,695 6,878,086 3,439,043 10,317,130 5,158,565 15,475,696 7,737,848 3,868,924 1,934,462 967,231 2,901,694 1,450,847 4,352,542 2,176,271 6,528,814 3,264,407 9,793,222 4,896,611 14,689,834 7,344,917 22,034,752 11,017,376 5,508,688 2,754,344 1,377,172 688,586 344,293 1,032,880 516,440 258,220 129,110

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