5,328,249

3 × 23 × 31 × 47 × 53

Starting at 5,328,249, the Collatz iteration reaches 1 after 201 steps. The first transition is 15984748; the starting value is odd with 32 positive divisors.

Prime Factor Structure

Factorization String 3 × 23 × 31 × 47 × 53

Distinct Prime Factors 5

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 7,962,624

Proper Divisor Sum 2,634,375

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #5328241 ← → #5328251

Radix Representation

Decimal	5328249
Binary	10100010100110101111001 (23 bits)
Octal	0o24246571
Hexadecimal	0x514D79

Divisor Catalog (32)

1 3 23 31 47 53 69 93 141 159 713 1,081 1,219 1,457 1,643 2,139 2,491 3,243 3,657 4,371 4,929 7,473 33,511 37,789 57,293 77,221 100,533 113,367 171,879 231,663 1,776,083 5,328,249

Collatz Trajectory (201 steps to reach 1)

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

5,328,249 15,984,748 7,992,374 3,996,187 11,988,562 5,994,281 17,982,844 8,991,422 4,495,711 13,487,134 6,743,567 20,230,702 10,115,351 30,346,054 15,173,027 45,519,082 22,759,541 68,278,624 34,139,312 17,069,656 8,534,828 4,267,414 2,133,707 6,401,122 3,200,561 9,601,684 4,800,842 2,400,421 7,201,264 3,600,632 1,800,316 900,158 450,079 1,350,238 675,119 2,025,358 1,012,679 3,038,038 1,519,019 4,557,058 2,278,529 6,835,588 3,417,794 1,708,897 5,126,692 2,563,346 1,281,673 3,845,020 1,922,510 961,255 2,883,766 1,441,883 4,325,650 2,162,825 6,488,476 3,244,238 1,622,119 4,866,358 2,433,179 7,299,538

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