4,396,138

2 × 53 × 67 × 619

Starting at 4,396,138, the Collatz iteration reaches 1 after 180 steps. The first transition is 2198069; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 53 × 67 × 619

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 6,829,920

Proper Divisor Sum 2,433,782

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #4396127 ← → #4396181

Radix Representation

Decimal	4396138
Binary	10000110001010001101010 (23 bits)
Octal	0o20612152
Hexadecimal	0x43146A

Divisor Catalog (16)

1 2 53 67 106 134 619 1,238 3,551 7,102 32,807 41,473 65,614 82,946 2,198,069 4,396,138

Collatz Trajectory (180 steps to reach 1)

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

4,396,138 2,198,069 6,594,208 3,297,104 1,648,552 824,276 412,138 206,069 618,208 309,104 154,552 77,276 38,638 19,319 57,958 28,979 86,938 43,469 130,408 65,204 32,602 16,301 48,904 24,452 12,226 6,113 18,340 9,170 4,585 13,756 6,878 3,439 10,318 5,159 15,478 7,739 23,218 11,609 34,828 17,414 8,707 26,122 13,061 39,184 19,592 9,796 4,898 2,449 7,348 3,674 1,837 5,512 2,756 1,378 689 2,068 1,034 517 1,552 776

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