λ
Harmonic Matrix

3,374,152

23 × 491 × 859
Deficient Even Composite

3,374,152 has digital root 7. The neighboring primes are 3374113 and 3374159; its proper-divisor sum differs from the starting integer by -401,504.

Prime Factor Structure

Factorization String 2^3 × 491 × 859
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 6,346,800
Proper Divisor Sum 2,972,648
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #3374113 ← → #3374159

Radix Representation

Decimal 3374152
Binary 1100110111110001001000 (22 bits)
Octal 0o14676110
Hexadecimal 0x337C48

Divisor Catalog (16)

1 2 4 8 491 859 982 1,718 1,964 3,436 3,928 6,872 421,769 843,538 1,687,076 3,374,152

Collatz Trajectory (252 steps to reach 1)

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

3,374,152 1,687,076 843,538 421,769 1,265,308 632,654 316,327 948,982 474,491 1,423,474 711,737 2,135,212 1,067,606 533,803 1,601,410 800,705 2,402,116 1,201,058 600,529 1,801,588 900,794 450,397 1,351,192 675,596 337,798 168,899 506,698 253,349 760,048 380,024 190,012 95,006 47,503 142,510 71,255 213,766 106,883 320,650 160,325 480,976 240,488 120,244 60,122 30,061 90,184 45,092 22,546 11,273 33,820 16,910 8,455 25,366 12,683 38,050 19,025 57,076 28,538 14,269 42,808 21,404

More profiles

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