λ
Harmonic Matrix

4,671,073

11 × 17 × 24979
Deficient Odd Composite

4,671,073 has digital root 1. The neighboring primes are 4671071 and 4671077; its proper-divisor sum differs from the starting integer by -3,946,466.

Prime Factor Structure

Factorization String 11 × 17 × 24979
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 5,395,680
Proper Divisor Sum 724,607
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #4671071 ← → #4671077

Radix Representation

Decimal 4671073
Binary 10001110100011001100001 (23 bits)
Octal 0o21643141
Hexadecimal 0x474661

Divisor Catalog (8)

1 11 17 187 24,979 274,769 424,643 4,671,073

Collatz Trajectory (224 steps to reach 1)

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

4,671,073 14,013,220 7,006,610 3,503,305 10,509,916 5,254,958 2,627,479 7,882,438 3,941,219 11,823,658 5,911,829 17,735,488 8,867,744 4,433,872 2,216,936 1,108,468 554,234 277,117 831,352 415,676 207,838 103,919 311,758 155,879 467,638 233,819 701,458 350,729 1,052,188 526,094 263,047 789,142 394,571 1,183,714 591,857 1,775,572 887,786 443,893 1,331,680 665,840 332,920 166,460 83,230 41,615 124,846 62,423 187,270 93,635 280,906 140,453 421,360 210,680 105,340 52,670 26,335 79,006 39,503 118,510 59,255 177,766

More profiles

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