λ
Harmonic Matrix

3,714,135

3 × 5 × 247609
Deficient Odd Composite

3,714,135 has digital root 6. The neighboring primes are 3714133 and 3714157; its proper-divisor sum differs from the starting integer by -1,485,630.

Prime Factor Structure

Factorization String 3 × 5 × 247609
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 5,942,640
Proper Divisor Sum 2,228,505
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #3714133 ← → #3714157

Radix Representation

Decimal 3714135
Binary 1110001010110001010111 (22 bits)
Octal 0o16126127
Hexadecimal 0x38AC57

Divisor Catalog (8)

1 3 5 15 247,609 742,827 1,238,045 3,714,135

Collatz Trajectory (79 steps to reach 1)

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

3,714,135 11,142,406 5,571,203 16,713,610 8,356,805 25,070,416 12,535,208 6,267,604 3,133,802 1,566,901 4,700,704 2,350,352 1,175,176 587,588 293,794 146,897 440,692 220,346 110,173 330,520 165,260 82,630 41,315 123,946 61,973 185,920 92,960 46,480 23,240 11,620 5,810 2,905 8,716 4,358 2,179 6,538 3,269 9,808 4,904 2,452 1,226 613 1,840 920 460 230 115 346 173 520 260 130 65 196 98 49 148 74 37 112

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