7,492,324

2² × 7 × 29 × 9227

Starting at 7,492,324, the Collatz iteration reaches 1 after 67 steps. The first transition is 3746162; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 7 × 29 × 9227

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 15,503,040

Proper Divisor Sum 8,010,716

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #7492313 ← → #7492343

Radix Representation

Decimal	7492324
Binary	11100100101001011100100 (23 bits)
Octal	0o34451344
Hexadecimal	0x7252E4

Divisor Catalog (24)

1 2 4 7 14 28 29 58 116 203 406 812 9,227 18,454 36,908 64,589 129,178 258,356 267,583 535,166 1,070,332 1,873,081 3,746,162 7,492,324

Collatz Trajectory (67 steps to reach 1)

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

7,492,324 3,746,162 1,873,081 5,619,244 2,809,622 1,404,811 4,214,434 2,107,217 6,321,652 3,160,826 1,580,413 4,741,240 2,370,620 1,185,310 592,655 1,777,966 888,983 2,666,950 1,333,475 4,000,426 2,000,213 6,000,640 3,000,320 1,500,160 750,080 375,040 187,520 93,760 46,880 23,440 11,720 5,860 2,930 1,465 4,396 2,198 1,099 3,298 1,649 4,948 2,474 1,237 3,712 1,856 928 464 232 116 58 29 88 44 22 11 34 17 52 26 13 40

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