λ
Harmonic Matrix

3,416,962

2 × 359 × 4759
Deficient Even Composite

3,416,962 has digital root 4. The neighboring primes are 3416953 and 3416971; its proper-divisor sum differs from the starting integer by -1,693,124.

Prime Factor Structure

Factorization String 2 × 359 × 4759
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 5,140,800
Proper Divisor Sum 1,723,838
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #3416953 ← → #3416971

Radix Representation

Decimal 3416962
Binary 1101000010001110000010 (22 bits)
Octal 0o15021602
Hexadecimal 0x342382

Divisor Catalog (8)

1 2 359 718 4,759 9,518 1,708,481 3,416,962

Collatz Trajectory (76 steps to reach 1)

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

3,416,962 1,708,481 5,125,444 2,562,722 1,281,361 3,844,084 1,922,042 961,021 2,883,064 1,441,532 720,766 360,383 1,081,150 540,575 1,621,726 810,863 2,432,590 1,216,295 3,648,886 1,824,443 5,473,330 2,736,665 8,209,996 4,104,998 2,052,499 6,157,498 3,078,749 9,236,248 4,618,124 2,309,062 1,154,531 3,463,594 1,731,797 5,195,392 2,597,696 1,298,848 649,424 324,712 162,356 81,178 40,589 121,768 60,884 30,442 15,221 45,664 22,832 11,416 5,708 2,854 1,427 4,282 2,141 6,424 3,212 1,606 803 2,410 1,205 3,616

More profiles

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