5,874,129

3² × 17 × 38393

Starting at 5,874,129, the Collatz iteration reaches 1 after 196 steps. The first transition is 17622388; the starting value is odd with 12 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 17 × 38393

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 8,984,196

Proper Divisor Sum 3,110,067

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #5874103 ← → #5874133

Radix Representation

Decimal	5874129
Binary	10110011010000111010001 (23 bits)
Octal	0o26320721
Hexadecimal	0x59A1D1

Divisor Catalog (12)

1 3 9 17 51 153 38,393 115,179 345,537 652,681 1,958,043 5,874,129

Collatz Trajectory (196 steps to reach 1)

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

5,874,129 17,622,388 8,811,194 4,405,597 13,216,792 6,608,396 3,304,198 1,652,099 4,956,298 2,478,149 7,434,448 3,717,224 1,858,612 929,306 464,653 1,393,960 696,980 348,490 174,245 522,736 261,368 130,684 65,342 32,671 98,014 49,007 147,022 73,511 220,534 110,267 330,802 165,401 496,204 248,102 124,051 372,154 186,077 558,232 279,116 139,558 69,779 209,338 104,669 314,008 157,004 78,502 39,251 117,754 58,877 176,632 88,316 44,158 22,079 66,238 33,119 99,358 49,679 149,038 74,519 223,558

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