λ
Prime Ledger

3,410,467

101 × 33767
Deficient Odd Composite

3,410,467 has the prime decomposition 101 × 33767. Its 2 distinct prime factors produce 4 positive divisors.

Prime Factor Structure

Factorization String 101 × 33767
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 3,444,336
Proper Divisor Sum 33,869
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #3410447 ← → #3410471

Radix Representation

Decimal 3410467
Binary 1101000000101000100011 (22 bits)
Octal 0o15005043
Hexadecimal 0x340A23

Divisor Catalog (4)

1 101 33,767 3,410,467

Collatz Trajectory (177 steps to reach 1)

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

3,410,467 10,231,402 5,115,701 15,347,104 7,673,552 3,836,776 1,918,388 959,194 479,597 1,438,792 719,396 359,698 179,849 539,548 269,774 134,887 404,662 202,331 606,994 303,497 910,492 455,246 227,623 682,870 341,435 1,024,306 512,153 1,536,460 768,230 384,115 1,152,346 576,173 1,728,520 864,260 432,130 216,065 648,196 324,098 162,049 486,148 243,074 121,537 364,612 182,306 91,153 273,460 136,730 68,365 205,096 102,548 51,274 25,637 76,912 38,456 19,228 9,614 4,807 14,422 7,211 21,634

More profiles

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