7,724,338

2 × 3862169

Starting at 7,724,338, the Collatz iteration reaches 1 after 186 steps. The first transition is 3862169; the starting value is even with 4 positive divisors.

Prime Factor Structure

Factorization String 2 × 3862169

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 4

Divisor Sum (σ) 11,586,510

Proper Divisor Sum 3,862,172

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #7724329 ← → #7724371

Radix Representation

Decimal	7724338
Binary	11101011101110100110010 (23 bits)
Octal	0o35356462
Hexadecimal	0x75DD32

Divisor Catalog (4)

1 2 3,862,169 7,724,338

Collatz Trajectory (186 steps to reach 1)

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

7,724,338 3,862,169 11,586,508 5,793,254 2,896,627 8,689,882 4,344,941 13,034,824 6,517,412 3,258,706 1,629,353 4,888,060 2,444,030 1,222,015 3,666,046 1,833,023 5,499,070 2,749,535 8,248,606 4,124,303 12,372,910 6,186,455 18,559,366 9,279,683 27,839,050 13,919,525 41,758,576 20,879,288 10,439,644 5,219,822 2,609,911 7,829,734 3,914,867 11,744,602 5,872,301 17,616,904 8,808,452 4,404,226 2,202,113 6,606,340 3,303,170 1,651,585 4,954,756 2,477,378 1,238,689 3,716,068 1,858,034 929,017 2,787,052 1,393,526 696,763 2,090,290 1,045,145 3,135,436 1,567,718 783,859 2,351,578 1,175,789 3,527,368 1,763,684

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