7,366,404

2² × 3 × 37 × 47 × 353

Starting at 7,366,404, the Collatz iteration reaches 1 after 165 steps. The first transition is 3683202; the starting value is even with 48 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3 × 37 × 47 × 353

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 18,079,488

Proper Divisor Sum 10,713,084

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #7366399 ← → #7366453

Radix Representation

Decimal	7366404
Binary	11100000110011100000100 (23 bits)
Octal	0o34063404
Hexadecimal	0x706704

Divisor Catalog (48)

1 2 3 4 6 12 37 47 74 94 111 141 148 188 222 282 353 444 564 706 1,059 1,412 1,739 2,118 3,478 4,236 5,217 6,956 10,434 13,061 16,591 20,868 26,122 33,182 39,183 49,773 52,244 66,364 78,366 99,546 156,732 199,092 613,867 1,227,734 1,841,601 2,455,468 3,683,202 7,366,404

Collatz Trajectory (165 steps to reach 1)

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

7,366,404 3,683,202 1,841,601 5,524,804 2,762,402 1,381,201 4,143,604 2,071,802 1,035,901 3,107,704 1,553,852 776,926 388,463 1,165,390 582,695 1,748,086 874,043 2,622,130 1,311,065 3,933,196 1,966,598 983,299 2,949,898 1,474,949 4,424,848 2,212,424 1,106,212 553,106 276,553 829,660 414,830 207,415 622,246 311,123 933,370 466,685 1,400,056 700,028 350,014 175,007 525,022 262,511 787,534 393,767 1,181,302 590,651 1,771,954 885,977 2,657,932 1,328,966 664,483 1,993,450 996,725 2,990,176 1,495,088 747,544 373,772 186,886 93,443 280,330

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