7,540,476

2² × 3 × 628373

Starting at 7,540,476, the Collatz iteration reaches 1 after 160 steps. The first transition is 3770238; the starting value is even with 12 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3 × 628373

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 17,594,472

Proper Divisor Sum 10,053,996

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #7540459 ← → #7540499

Radix Representation

Decimal	7540476
Binary	11100110000111011111100 (23 bits)
Octal	0o34607374
Hexadecimal	0x730EFC

Divisor Catalog (12)

1 2 3 4 6 12 628,373 1,256,746 1,885,119 2,513,492 3,770,238 7,540,476

Collatz Trajectory (160 steps to reach 1)

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

7,540,476 3,770,238 1,885,119 5,655,358 2,827,679 8,483,038 4,241,519 12,724,558 6,362,279 19,086,838 9,543,419 28,630,258 14,315,129 42,945,388 21,472,694 10,736,347 32,209,042 16,104,521 48,313,564 24,156,782 12,078,391 36,235,174 18,117,587 54,352,762 27,176,381 81,529,144 40,764,572 20,382,286 10,191,143 30,573,430 15,286,715 45,860,146 22,930,073 68,790,220 34,395,110 17,197,555 51,592,666 25,796,333 77,389,000 38,694,500 19,347,250 9,673,625 29,020,876 14,510,438 7,255,219 21,765,658 10,882,829 32,648,488 16,324,244 8,162,122 4,081,061 12,243,184 6,121,592 3,060,796 1,530,398 765,199 2,295,598 1,147,799 3,443,398 1,721,699

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