λ
Sequence Observatory

3,621,419

19 × 23 × 8287
Deficient Odd Composite

Starting at 3,621,419, the Collatz iteration reaches 1 after 234 steps. The first transition is 10864258; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 19 × 23 × 8287
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 3,978,240
Proper Divisor Sum 356,821
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #3621403 ← → #3621461

Radix Representation

Decimal 3621419
Binary 1101110100001000101011 (22 bits)
Octal 0o15641053
Hexadecimal 0x37422B

Divisor Catalog (8)

1 19 23 437 8,287 157,453 190,601 3,621,419

Collatz Trajectory (234 steps to reach 1)

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

3,621,419 10,864,258 5,432,129 16,296,388 8,148,194 4,074,097 12,222,292 6,111,146 3,055,573 9,166,720 4,583,360 2,291,680 1,145,840 572,920 286,460 143,230 71,615 214,846 107,423 322,270 161,135 483,406 241,703 725,110 362,555 1,087,666 543,833 1,631,500 815,750 407,875 1,223,626 611,813 1,835,440 917,720 458,860 229,430 114,715 344,146 172,073 516,220 258,110 129,055 387,166 193,583 580,750 290,375 871,126 435,563 1,306,690 653,345 1,960,036 980,018 490,009 1,470,028 735,014 367,507 1,102,522 551,261 1,653,784 826,892

More profiles

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