λ
Sigma Notebook

464,438

2 × 13 × 17863
Deficient Even Composite

464,438 is even and not a perfect square. Its factorization is 2 × 13 × 17863 and its 8 divisors sum to 750,288.

Prime Factor Structure

Factorization String 2 × 13 × 17863
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 750,288
Proper Divisor Sum 285,850
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #464437 ← → #464447

Radix Representation

Decimal 464438
Binary 1110001011000110110 (19 bits)
Octal 0o1613066
Hexadecimal 0x71636

Divisor Catalog (8)

1 2 13 26 17,863 35,726 232,219 464,438

Collatz Trajectory (138 steps to reach 1)

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

464,438 232,219 696,658 348,329 1,044,988 522,494 261,247 783,742 391,871 1,175,614 587,807 1,763,422 881,711 2,645,134 1,322,567 3,967,702 1,983,851 5,951,554 2,975,777 8,927,332 4,463,666 2,231,833 6,695,500 3,347,750 1,673,875 5,021,626 2,510,813 7,532,440 3,766,220 1,883,110 941,555 2,824,666 1,412,333 4,237,000 2,118,500 1,059,250 529,625 1,588,876 794,438 397,219 1,191,658 595,829 1,787,488 893,744 446,872 223,436 111,718 55,859 167,578 83,789 251,368 125,684 62,842 31,421 94,264 47,132 23,566 11,783 35,350 17,675

More profiles

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