λ
Sequence Observatory

3,411,670

2 × 5 × 311 × 1097
Deficient Even Composite

Starting at 3,411,670, the Collatz iteration reaches 1 after 102 steps. The first transition is 1705835; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 5 × 311 × 1097
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 6,166,368
Proper Divisor Sum 2,754,698
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #3411649 ← → #3411671

Radix Representation

Decimal 3411670
Binary 1101000000111011010110 (22 bits)
Octal 0o15007326
Hexadecimal 0x340ED6

Divisor Catalog (16)

1 2 5 10 311 622 1,097 1,555 2,194 3,110 5,485 10,970 341,167 682,334 1,705,835 3,411,670

Collatz Trajectory (102 steps to reach 1)

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

3,411,670 1,705,835 5,117,506 2,558,753 7,676,260 3,838,130 1,919,065 5,757,196 2,878,598 1,439,299 4,317,898 2,158,949 6,476,848 3,238,424 1,619,212 809,606 404,803 1,214,410 607,205 1,821,616 910,808 455,404 227,702 113,851 341,554 170,777 512,332 256,166 128,083 384,250 192,125 576,376 288,188 144,094 72,047 216,142 108,071 324,214 162,107 486,322 243,161 729,484 364,742 182,371 547,114 273,557 820,672 410,336 205,168 102,584 51,292 25,646 12,823 38,470 19,235 57,706 28,853 86,560 43,280 21,640

More profiles

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