λ
Sequence Observatory

5,438,852

22 × 37 × 36749
Deficient Even Composite

Starting at 5,438,852, the Collatz iteration reaches 1 after 307 steps. The first transition is 2719426; the starting value is even with 12 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 37 × 36749
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 9,775,500
Proper Divisor Sum 4,336,648
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #5438831 ← → #5438903

Radix Representation

Decimal 5438852
Binary 10100101111110110000100 (23 bits)
Octal 0o24576604
Hexadecimal 0x52FD84

Divisor Catalog (12)

1 2 4 37 74 148 36,749 73,498 146,996 1,359,713 2,719,426 5,438,852

Collatz Trajectory (307 steps to reach 1)

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

5,438,852 2,719,426 1,359,713 4,079,140 2,039,570 1,019,785 3,059,356 1,529,678 764,839 2,294,518 1,147,259 3,441,778 1,720,889 5,162,668 2,581,334 1,290,667 3,872,002 1,936,001 5,808,004 2,904,002 1,452,001 4,356,004 2,178,002 1,089,001 3,267,004 1,633,502 816,751 2,450,254 1,225,127 3,675,382 1,837,691 5,513,074 2,756,537 8,269,612 4,134,806 2,067,403 6,202,210 3,101,105 9,303,316 4,651,658 2,325,829 6,977,488 3,488,744 1,744,372 872,186 436,093 1,308,280 654,140 327,070 163,535 490,606 245,303 735,910 367,955 1,103,866 551,933 1,655,800 827,900 413,950 206,975

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