7,462,932

2² × 3 × 17 × 36583

Starting at 7,462,932, the Collatz iteration reaches 1 after 111 steps. The first transition is 3731466; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3 × 17 × 36583

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 18,438,336

Proper Divisor Sum 10,975,404

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #7462927 ← → #7462957

Radix Representation

Decimal	7462932
Binary	11100011110000000010100 (23 bits)
Octal	0o34360024
Hexadecimal	0x71E014

Divisor Catalog (24)

1 2 3 4 6 12 17 34 51 68 102 204 36,583 73,166 109,749 146,332 219,498 438,996 621,911 1,243,822 1,865,733 2,487,644 3,731,466 7,462,932

Collatz Trajectory (111 steps to reach 1)

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

7,462,932 3,731,466 1,865,733 5,597,200 2,798,600 1,399,300 699,650 349,825 1,049,476 524,738 262,369 787,108 393,554 196,777 590,332 295,166 147,583 442,750 221,375 664,126 332,063 996,190 498,095 1,494,286 747,143 2,241,430 1,120,715 3,362,146 1,681,073 5,043,220 2,521,610 1,260,805 3,782,416 1,891,208 945,604 472,802 236,401 709,204 354,602 177,301 531,904 265,952 132,976 66,488 33,244 16,622 8,311 24,934 12,467 37,402 18,701 56,104 28,052 14,026 7,013 21,040 10,520 5,260 2,630 1,315

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