λ
Sequence Observatory

6,173,917

19 × 53 × 6131
Deficient Odd Composite

Starting at 6,173,917, the Collatz iteration reaches 1 after 227 steps. The first transition is 18521752; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 19 × 53 × 6131
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 6,622,560
Proper Divisor Sum 448,643
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #6173891 ← → #6173927

Radix Representation

Decimal 6173917
Binary 10111100011010011011101 (23 bits)
Octal 0o27432335
Hexadecimal 0x5E34DD

Divisor Catalog (8)

1 19 53 1,007 6,131 116,489 324,943 6,173,917

Collatz Trajectory (227 steps to reach 1)

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

6,173,917 18,521,752 9,260,876 4,630,438 2,315,219 6,945,658 3,472,829 10,418,488 5,209,244 2,604,622 1,302,311 3,906,934 1,953,467 5,860,402 2,930,201 8,790,604 4,395,302 2,197,651 6,592,954 3,296,477 9,889,432 4,944,716 2,472,358 1,236,179 3,708,538 1,854,269 5,562,808 2,781,404 1,390,702 695,351 2,086,054 1,043,027 3,129,082 1,564,541 4,693,624 2,346,812 1,173,406 586,703 1,760,110 880,055 2,640,166 1,320,083 3,960,250 1,980,125 5,940,376 2,970,188 1,485,094 742,547 2,227,642 1,113,821 3,341,464 1,670,732 835,366 417,683 1,253,050 626,525 1,879,576 939,788 469,894 234,947

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