λ
Harmonic Matrix

1,342,323

32 × 29 × 37 × 139
Deficient Odd Composite

1,342,323 has digital root 9. The neighboring primes are 1342291 and 1342333; its proper-divisor sum differs from the starting integer by -609,846.

Prime Factor Structure

Factorization String 3^2 × 29 × 37 × 139
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 2,074,800
Proper Divisor Sum 732,477
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #1342291 ← → #1342333

Radix Representation

Decimal 1342323
Binary 101000111101101110011 (21 bits)
Octal 0o5075563
Hexadecimal 0x147B73

Divisor Catalog (24)

1 3 9 29 37 87 111 139 261 333 417 1,073 1,251 3,219 4,031 5,143 9,657 12,093 15,429 36,279 46,287 149,147 447,441 1,342,323

Collatz Trajectory (111 steps to reach 1)

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

1,342,323 4,026,970 2,013,485 6,040,456 3,020,228 1,510,114 755,057 2,265,172 1,132,586 566,293 1,698,880 849,440 424,720 212,360 106,180 53,090 26,545 79,636 39,818 19,909 59,728 29,864 14,932 7,466 3,733 11,200 5,600 2,800 1,400 700 350 175 526 263 790 395 1,186 593 1,780 890 445 1,336 668 334 167 502 251 754 377 1,132 566 283 850 425 1,276 638 319 958 479 1,438

More profiles

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