λ
Harmonic Matrix

3,463,342

2 × 17 × 101863
Deficient Even Composite

3,463,342 has digital root 7. The neighboring primes are 3463333 and 3463357; its proper-divisor sum differs from the starting integer by -1,426,028.

Prime Factor Structure

Factorization String 2 × 17 × 101863
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 5,500,656
Proper Divisor Sum 2,037,314
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #3463333 ← → #3463357

Radix Representation

Decimal 3463342
Binary 1101001101100010101110 (22 bits)
Octal 0o15154256
Hexadecimal 0x34D8AE

Divisor Catalog (8)

1 2 17 34 101,863 203,726 1,731,671 3,463,342

Collatz Trajectory (177 steps to reach 1)

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

3,463,342 1,731,671 5,195,014 2,597,507 7,792,522 3,896,261 11,688,784 5,844,392 2,922,196 1,461,098 730,549 2,191,648 1,095,824 547,912 273,956 136,978 68,489 205,468 102,734 51,367 154,102 77,051 231,154 115,577 346,732 173,366 86,683 260,050 130,025 390,076 195,038 97,519 292,558 146,279 438,838 219,419 658,258 329,129 987,388 493,694 246,847 740,542 370,271 1,110,814 555,407 1,666,222 833,111 2,499,334 1,249,667 3,749,002 1,874,501 5,623,504 2,811,752 1,405,876 702,938 351,469 1,054,408 527,204 263,602 131,801

More profiles

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