λ
Sigma Notebook

399,417

3 × 29 × 4591
Deficient Odd Composite

399,417 is odd and not a perfect square. Its factorization is 3 × 29 × 4591 and its 8 divisors sum to 551,040.

Prime Factor Structure

Factorization String 3 × 29 × 4591
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 551,040
Proper Divisor Sum 151,623
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #399409 ← → #399433

Radix Representation

Decimal 399417
Binary 1100001100000111001 (19 bits)
Octal 0o1414071
Hexadecimal 0x61839

Divisor Catalog (8)

1 3 29 87 4,591 13,773 133,139 399,417

Collatz Trajectory (55 steps to reach 1)

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

399,417 1,198,252 599,126 299,563 898,690 449,345 1,348,036 674,018 337,009 1,011,028 505,514 252,757 758,272 379,136 189,568 94,784 47,392 23,696 11,848 5,924 2,962 1,481 4,444 2,222 1,111 3,334 1,667 5,002 2,501 7,504 3,752 1,876 938 469 1,408 704 352 176 88 44 22 11 34 17 52 26 13 40 20 10 5 16 8 4 2 1

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