λ
Harmonic Matrix

3,514,762

2 × 443 × 3967
Deficient Even Composite

3,514,762 has digital root 1. The neighboring primes are 3514757 and 3514783; its proper-divisor sum differs from the starting integer by -1,744,148.

Prime Factor Structure

Factorization String 2 × 443 × 3967
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 5,285,376
Proper Divisor Sum 1,770,614
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #3514757 ← → #3514783

Radix Representation

Decimal 3514762
Binary 1101011010000110001010 (22 bits)
Octal 0o15320612
Hexadecimal 0x35A18A

Divisor Catalog (8)

1 2 443 886 3,967 7,934 1,757,381 3,514,762

Collatz Trajectory (71 steps to reach 1)

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

3,514,762 1,757,381 5,272,144 2,636,072 1,318,036 659,018 329,509 988,528 494,264 247,132 123,566 61,783 185,350 92,675 278,026 139,013 417,040 208,520 104,260 52,130 26,065 78,196 39,098 19,549 58,648 29,324 14,662 7,331 21,994 10,997 32,992 16,496 8,248 4,124 2,062 1,031 3,094 1,547 4,642 2,321 6,964 3,482 1,741 5,224 2,612 1,306 653 1,960 980 490 245 736 368 184 92 46 23 70 35 106

More profiles

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