λ
Harmonic Matrix

1,252,185

3 × 5 × 11 × 7589
Deficient Odd Composite

1,252,185 has digital root 6. The neighboring primes are 1252177 and 1252187; its proper-divisor sum differs from the starting integer by -318,450.

Prime Factor Structure

Factorization String 3 × 5 × 11 × 7589
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 2,185,920
Proper Divisor Sum 933,735
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #1252177 ← → #1252187

Radix Representation

Decimal 1252185
Binary 100110001101101011001 (21 bits)
Octal 0o4615531
Hexadecimal 0x131B59

Divisor Catalog (16)

1 3 5 11 15 33 55 165 7,589 22,767 37,945 83,479 113,835 250,437 417,395 1,252,185

Collatz Trajectory (54 steps to reach 1)

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

1,252,185 3,756,556 1,878,278 939,139 2,817,418 1,408,709 4,226,128 2,113,064 1,056,532 528,266 264,133 792,400 396,200 198,100 99,050 49,525 148,576 74,288 37,144 18,572 9,286 4,643 13,930 6,965 20,896 10,448 5,224 2,612 1,306 653 1,960 980 490 245 736 368 184 92 46 23 70 35 106 53 160 80 40 20 10 5 16 8 4 2 1

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