λ
Sequence Observatory

4,155,713

131 × 31723
Deficient Odd Composite

Starting at 4,155,713, the Collatz iteration reaches 1 after 167 steps. The first transition is 12467140; the starting value is odd with 4 positive divisors.

Prime Factor Structure

Factorization String 131 × 31723
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 4,187,568
Proper Divisor Sum 31,855
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #4155703 ← → #4155721

Radix Representation

Decimal 4155713
Binary 1111110110100101000001 (22 bits)
Octal 0o17664501
Hexadecimal 0x3F6941

Divisor Catalog (4)

1 131 31,723 4,155,713

Collatz Trajectory (167 steps to reach 1)

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

4,155,713 12,467,140 6,233,570 3,116,785 9,350,356 4,675,178 2,337,589 7,012,768 3,506,384 1,753,192 876,596 438,298 219,149 657,448 328,724 164,362 82,181 246,544 123,272 61,636 30,818 15,409 46,228 23,114 11,557 34,672 17,336 8,668 4,334 2,167 6,502 3,251 9,754 4,877 14,632 7,316 3,658 1,829 5,488 2,744 1,372 686 343 1,030 515 1,546 773 2,320 1,160 580 290 145 436 218 109 328 164 82 41 124

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