λ
Harmonic Matrix

3,408,713

7 × 11 × 44269
Deficient Odd Composite

3,408,713 has digital root 8. The neighboring primes are 3408707 and 3408719; its proper-divisor sum differs from the starting integer by -2,567,506.

Prime Factor Structure

Factorization String 7 × 11 × 44269
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 4,249,920
Proper Divisor Sum 841,207
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #3408707 ← → #3408719

Radix Representation

Decimal 3408713
Binary 1101000000001101001001 (22 bits)
Octal 0o15001511
Hexadecimal 0x340349

Divisor Catalog (8)

1 7 11 77 44,269 309,883 486,959 3,408,713

Collatz Trajectory (221 steps to reach 1)

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

3,408,713 10,226,140 5,113,070 2,556,535 7,669,606 3,834,803 11,504,410 5,752,205 17,256,616 8,628,308 4,314,154 2,157,077 6,471,232 3,235,616 1,617,808 808,904 404,452 202,226 101,113 303,340 151,670 75,835 227,506 113,753 341,260 170,630 85,315 255,946 127,973 383,920 191,960 95,980 47,990 23,995 71,986 35,993 107,980 53,990 26,995 80,986 40,493 121,480 60,740 30,370 15,185 45,556 22,778 11,389 34,168 17,084 8,542 4,271 12,814 6,407 19,222 9,611 28,834 14,417 43,252 21,626

More profiles

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