λ
Harmonic Matrix

1,461,333

3 × 487111
Deficient Odd Composite

1,461,333 has digital root 3. The neighboring primes are 1461329 and 1461349; its proper-divisor sum differs from the starting integer by -974,218.

Prime Factor Structure

Factorization String 3 × 487111
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 1,948,448
Proper Divisor Sum 487,115
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #1461329 ← → #1461349

Radix Representation

Decimal 1461333
Binary 101100100110001010101 (21 bits)
Octal 0o5446125
Hexadecimal 0x164C55

Divisor Catalog (4)

1 3 487,111 1,461,333

Collatz Trajectory (137 steps to reach 1)

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

1,461,333 4,384,000 2,192,000 1,096,000 548,000 274,000 137,000 68,500 34,250 17,125 51,376 25,688 12,844 6,422 3,211 9,634 4,817 14,452 7,226 3,613 10,840 5,420 2,710 1,355 4,066 2,033 6,100 3,050 1,525 4,576 2,288 1,144 572 286 143 430 215 646 323 970 485 1,456 728 364 182 91 274 137 412 206 103 310 155 466 233 700 350 175 526 263

More profiles

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