7,214,136

2³ × 3 × 300589

Starting at 7,214,136, the Collatz iteration reaches 1 after 72 steps. The first transition is 3607068; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 3 × 300589

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 18,035,400

Proper Divisor Sum 10,821,264

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #7214131 ← → #7214143

Radix Representation

Decimal	7214136
Binary	11011100001010000111000 (23 bits)
Octal	0o33412070
Hexadecimal	0x6E1438

Divisor Catalog (16)

1 2 3 4 6 8 12 24 300,589 601,178 901,767 1,202,356 1,803,534 2,404,712 3,607,068 7,214,136

Collatz Trajectory (72 steps to reach 1)

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

7,214,136 3,607,068 1,803,534 901,767 2,705,302 1,352,651 4,057,954 2,028,977 6,086,932 3,043,466 1,521,733 4,565,200 2,282,600 1,141,300 570,650 285,325 855,976 427,988 213,994 106,997 320,992 160,496 80,248 40,124 20,062 10,031 30,094 15,047 45,142 22,571 67,714 33,857 101,572 50,786 25,393 76,180 38,090 19,045 57,136 28,568 14,284 7,142 3,571 10,714 5,357 16,072 8,036 4,018 2,009 6,028 3,014 1,507 4,522 2,261 6,784 3,392 1,696 848 424 212

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