λ
Harmonic Matrix

3,273,571

7 × 17 × 27509
Deficient Odd Composite

3,273,571 has digital root 1. The neighboring primes are 3273533 and 3273581; its proper-divisor sum differs from the starting integer by -2,585,702.

Prime Factor Structure

Factorization String 7 × 17 × 27509
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 3,961,440
Proper Divisor Sum 687,869
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #3273533 ← → #3273581

Radix Representation

Decimal 3273571
Binary 1100011111001101100011 (22 bits)
Octal 0o14371543
Hexadecimal 0x31F363

Divisor Catalog (8)

1 7 17 119 27,509 192,563 467,653 3,273,571

Collatz Trajectory (208 steps to reach 1)

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

3,273,571 9,820,714 4,910,357 14,731,072 7,365,536 3,682,768 1,841,384 920,692 460,346 230,173 690,520 345,260 172,630 86,315 258,946 129,473 388,420 194,210 97,105 291,316 145,658 72,829 218,488 109,244 54,622 27,311 81,934 40,967 122,902 61,451 184,354 92,177 276,532 138,266 69,133 207,400 103,700 51,850 25,925 77,776 38,888 19,444 9,722 4,861 14,584 7,292 3,646 1,823 5,470 2,735 8,206 4,103 12,310 6,155 18,466 9,233 27,700 13,850 6,925 20,776

More profiles

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