λ
Sequence Observatory

4,170,131

7 × 595733
Deficient Odd Composite

Starting at 4,170,131, the Collatz iteration reaches 1 after 167 steps. The first transition is 12510394; the starting value is odd with 4 positive divisors.

Prime Factor Structure

Factorization String 7 × 595733
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 4,765,872
Proper Divisor Sum 595,741
Digit Sum / Digital Root 17 (Root: 8)
Adjacent Primes #4170121 ← → #4170191

Radix Representation

Decimal 4170131
Binary 1111111010000110010011 (22 bits)
Octal 0o17720623
Hexadecimal 0x3FA193

Divisor Catalog (4)

1 7 595,733 4,170,131

Collatz Trajectory (167 steps to reach 1)

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

4,170,131 12,510,394 6,255,197 18,765,592 9,382,796 4,691,398 2,345,699 7,037,098 3,518,549 10,555,648 5,277,824 2,638,912 1,319,456 659,728 329,864 164,932 82,466 41,233 123,700 61,850 30,925 92,776 46,388 23,194 11,597 34,792 17,396 8,698 4,349 13,048 6,524 3,262 1,631 4,894 2,447 7,342 3,671 11,014 5,507 16,522 8,261 24,784 12,392 6,196 3,098 1,549 4,648 2,324 1,162 581 1,744 872 436 218 109 328 164 82 41 124

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