7,232,658

2 × 3 × 29 × 197 × 211

Starting at 7,232,658, the Collatz iteration reaches 1 after 235 steps. The first transition is 3616329; the starting value is even with 32 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 29 × 197 × 211

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 15,111,360

Proper Divisor Sum 7,878,702

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #7232657 ← → #7232663

Radix Representation

Decimal	7232658
Binary	11011100101110010010010 (23 bits)
Octal	0o33456222
Hexadecimal	0x6E5C92

Divisor Catalog (32)

1 2 3 6 29 58 87 174 197 211 394 422 591 633 1,182 1,266 5,713 6,119 11,426 12,238 17,139 18,357 34,278 36,714 41,567 83,134 124,701 249,402 1,205,443 2,410,886 3,616,329 7,232,658

Collatz Trajectory (235 steps to reach 1)

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

7,232,658 3,616,329 10,848,988 5,424,494 2,712,247 8,136,742 4,068,371 12,205,114 6,102,557 18,307,672 9,153,836 4,576,918 2,288,459 6,865,378 3,432,689 10,298,068 5,149,034 2,574,517 7,723,552 3,861,776 1,930,888 965,444 482,722 241,361 724,084 362,042 181,021 543,064 271,532 135,766 67,883 203,650 101,825 305,476 152,738 76,369 229,108 114,554 57,277 171,832 85,916 42,958 21,479 64,438 32,219 96,658 48,329 144,988 72,494 36,247 108,742 54,371 163,114 81,557 244,672 122,336 61,168 30,584 15,292 7,646

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