λ
Sequence Observatory

5,024,013

3 × 463 × 3617
Deficient Odd Composite

Starting at 5,024,013, the Collatz iteration reaches 1 after 175 steps. The first transition is 15072040; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 3 × 463 × 3617
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 6,715,008
Proper Divisor Sum 1,690,995
Digit Sum / Digital Root 15 (Root: 6)
Adjacent Primes #5024011 ← → #5024023

Radix Representation

Decimal 5024013
Binary 10011001010100100001101 (23 bits)
Octal 0o23124415
Hexadecimal 0x4CA90D

Divisor Catalog (8)

1 3 463 1,389 3,617 10,851 1,674,671 5,024,013

Collatz Trajectory (175 steps to reach 1)

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

5,024,013 15,072,040 7,536,020 3,768,010 1,884,005 5,652,016 2,826,008 1,413,004 706,502 353,251 1,059,754 529,877 1,589,632 794,816 397,408 198,704 99,352 49,676 24,838 12,419 37,258 18,629 55,888 27,944 13,972 6,986 3,493 10,480 5,240 2,620 1,310 655 1,966 983 2,950 1,475 4,426 2,213 6,640 3,320 1,660 830 415 1,246 623 1,870 935 2,806 1,403 4,210 2,105 6,316 3,158 1,579 4,738 2,369 7,108 3,554 1,777 5,332

More profiles

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