λ
Sequence Observatory

3,715,275

3 × 52 × 49537
Deficient Odd Composite

Starting at 3,715,275, the Collatz iteration reaches 1 after 141 steps. The first transition is 11145826; the starting value is odd with 12 positive divisors.

Prime Factor Structure

Factorization String 3 × 5^2 × 49537
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 6,142,712
Proper Divisor Sum 2,427,437
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #3715253 ← → #3715307

Radix Representation

Decimal 3715275
Binary 1110001011000011001011 (22 bits)
Octal 0o16130313
Hexadecimal 0x38B0CB

Divisor Catalog (12)

1 3 5 15 25 75 49,537 148,611 247,685 743,055 1,238,425 3,715,275

Collatz Trajectory (141 steps to reach 1)

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

3,715,275 11,145,826 5,572,913 16,718,740 8,359,370 4,179,685 12,539,056 6,269,528 3,134,764 1,567,382 783,691 2,351,074 1,175,537 3,526,612 1,763,306 881,653 2,644,960 1,322,480 661,240 330,620 165,310 82,655 247,966 123,983 371,950 185,975 557,926 278,963 836,890 418,445 1,255,336 627,668 313,834 156,917 470,752 235,376 117,688 58,844 29,422 14,711 44,134 22,067 66,202 33,101 99,304 49,652 24,826 12,413 37,240 18,620 9,310 4,655 13,966 6,983 20,950 10,475 31,426 15,713 47,140 23,570

More profiles

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