λ
Sequence Observatory

603,829

53 × 11393
Deficient Odd Composite

Starting at 603,829, the Collatz iteration reaches 1 after 159 steps. The first transition is 1811488; the starting value is odd with 4 positive divisors.

Prime Factor Structure

Factorization String 53 × 11393
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 615,276
Proper Divisor Sum 11,447
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #603821 ← → #603833

Radix Representation

Decimal 603829
Binary 10010011011010110101 (20 bits)
Octal 0o2233265
Hexadecimal 0x936B5

Divisor Catalog (4)

1 53 11,393 603,829

Collatz Trajectory (159 steps to reach 1)

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

603,829 1,811,488 905,744 452,872 226,436 113,218 56,609 169,828 84,914 42,457 127,372 63,686 31,843 95,530 47,765 143,296 71,648 35,824 17,912 8,956 4,478 2,239 6,718 3,359 10,078 5,039 15,118 7,559 22,678 11,339 34,018 17,009 51,028 25,514 12,757 38,272 19,136 9,568 4,784 2,392 1,196 598 299 898 449 1,348 674 337 1,012 506 253 760 380 190 95 286 143 430 215 646

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