41,966

2 × 20983

Starting at 41,966, the Collatz iteration reaches 1 after 88 steps. The first transition is 20983; the starting value is even with 4 positive divisors.

Prime Factor Structure

Factorization String 2 × 20983

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 4

Divisor Sum (σ) 62,952

Proper Divisor Sum 20,986

Digit Sum / Digital Root 26 (Root: 8)

Adjacent Primes #41959 ← → #41969

Radix Representation

Decimal	41966
Binary	1010001111101110 (16 bits)
Octal	0o121756
Hexadecimal	0xA3EE

Divisor Catalog (4)

1 2 20,983 41,966

Collatz Trajectory (88 steps to reach 1)

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

41,966 20,983 62,950 31,475 94,426 47,213 141,640 70,820 35,410 17,705 53,116 26,558 13,279 39,838 19,919 59,758 29,879 89,638 44,819 134,458 67,229 201,688 100,844 50,422 25,211 75,634 37,817 113,452 56,726 28,363 85,090 42,545 127,636 63,818 31,909 95,728 47,864 23,932 11,966 5,983 17,950 8,975 26,926 13,463 40,390 20,195 60,586 30,293 90,880 45,440 22,720 11,360 5,680 2,840 1,420 710 355 1,066 533 1,600

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