7,364,057

29 × 197 × 1289

Starting at 7,364,057, the Collatz iteration reaches 1 after 191 steps. The first transition is 22092172; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 29 × 197 × 1289

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 7,662,600

Proper Divisor Sum 298,543

Digit Sum / Digital Root 32 (Root: 5)

Adjacent Primes #7364047 ← → #7364059

Radix Representation

Decimal	7364057
Binary	11100000101110111011001 (23 bits)
Octal	0o34056731
Hexadecimal	0x705DD9

Divisor Catalog (8)

1 29 197 1,289 5,713 37,381 253,933 7,364,057

Collatz Trajectory (191 steps to reach 1)

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

7,364,057 22,092,172 11,046,086 5,523,043 16,569,130 8,284,565 24,853,696 12,426,848 6,213,424 3,106,712 1,553,356 776,678 388,339 1,165,018 582,509 1,747,528 873,764 436,882 218,441 655,324 327,662 163,831 491,494 245,747 737,242 368,621 1,105,864 552,932 276,466 138,233 414,700 207,350 103,675 311,026 155,513 466,540 233,270 116,635 349,906 174,953 524,860 262,430 131,215 393,646 196,823 590,470 295,235 885,706 442,853 1,328,560 664,280 332,140 166,070 83,035 249,106 124,553 373,660 186,830 93,415 280,246

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