3,962,068

2² × 11 × 53 × 1699

Starting at 3,962,068, the Collatz iteration reaches 1 after 185 steps. The first transition is 1981034; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 11 × 53 × 1699

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 7,711,200

Proper Divisor Sum 3,749,132

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #3962047 ← → #3962081

Radix Representation

Decimal	3962068
Binary	1111000111010011010100 (22 bits)
Octal	0o17072324
Hexadecimal	0x3C74D4

Divisor Catalog (24)

1 2 4 11 22 44 53 106 212 583 1,166 1,699 2,332 3,398 6,796 18,689 37,378 74,756 90,047 180,094 360,188 990,517 1,981,034 3,962,068

Collatz Trajectory (185 steps to reach 1)

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

3,962,068 1,981,034 990,517 2,971,552 1,485,776 742,888 371,444 185,722 92,861 278,584 139,292 69,646 34,823 104,470 52,235 156,706 78,353 235,060 117,530 58,765 176,296 88,148 44,074 22,037 66,112 33,056 16,528 8,264 4,132 2,066 1,033 3,100 1,550 775 2,326 1,163 3,490 1,745 5,236 2,618 1,309 3,928 1,964 982 491 1,474 737 2,212 1,106 553 1,660 830 415 1,246 623 1,870 935 2,806 1,403 4,210

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