7,038,324

2² × 3² × 193 × 1013

Starting at 7,038,324, the Collatz iteration reaches 1 after 160 steps. The first transition is 3519162; the starting value is even with 36 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3^2 × 193 × 1013

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 36

Divisor Sum (σ) 17,901,156

Proper Divisor Sum 10,862,832

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #7038319 ← → #7038331

Radix Representation

Decimal	7038324
Binary	11010110110010101110100 (23 bits)
Octal	0o32662564
Hexadecimal	0x6B6574

Divisor Catalog (36)

1 2 3 4 6 9 12 18 36 193 386 579 772 1,013 1,158 1,737 2,026 2,316 3,039 3,474 4,052 6,078 6,948 9,117 12,156 18,234 36,468 195,509 391,018 586,527 782,036 1,173,054 1,759,581 2,346,108 3,519,162 7,038,324

Collatz Trajectory (160 steps to reach 1)

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

7,038,324 3,519,162 1,759,581 5,278,744 2,639,372 1,319,686 659,843 1,979,530 989,765 2,969,296 1,484,648 742,324 371,162 185,581 556,744 278,372 139,186 69,593 208,780 104,390 52,195 156,586 78,293 234,880 117,440 58,720 29,360 14,680 7,340 3,670 1,835 5,506 2,753 8,260 4,130 2,065 6,196 3,098 1,549 4,648 2,324 1,162 581 1,744 872 436 218 109 328 164 82 41 124 62 31 94 47 142 71 214

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