λ
Harmonic Matrix

1,473,069

3 × 13 × 107 × 353
Deficient Odd Composite

1,473,069 has digital root 3. The neighboring primes are 1473061 and 1473077; its proper-divisor sum differs from the starting integer by -805,146.

Prime Factor Structure

Factorization String 3 × 13 × 107 × 353
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 2,140,992
Proper Divisor Sum 667,923
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #1473061 ← → #1473077

Radix Representation

Decimal 1473069
Binary 101100111101000101101 (21 bits)
Octal 0o5475055
Hexadecimal 0x167A2D

Divisor Catalog (16)

1 3 13 39 107 321 353 1,059 1,391 4,173 4,589 13,767 37,771 113,313 491,023 1,473,069

Collatz Trajectory (137 steps to reach 1)

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

1,473,069 4,419,208 2,209,604 1,104,802 552,401 1,657,204 828,602 414,301 1,242,904 621,452 310,726 155,363 466,090 233,045 699,136 349,568 174,784 87,392 43,696 21,848 10,924 5,462 2,731 8,194 4,097 12,292 6,146 3,073 9,220 4,610 2,305 6,916 3,458 1,729 5,188 2,594 1,297 3,892 1,946 973 2,920 1,460 730 365 1,096 548 274 137 412 206 103 310 155 466 233 700 350 175 526 263

More profiles

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