5,839,832

2³ × 729979

Starting at 5,839,832, the Collatz iteration reaches 1 after 108 steps. The first transition is 2919916; the starting value is even with 8 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 729979

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 10,949,700

Proper Divisor Sum 5,109,868

Digit Sum / Digital Root 38 (Root: 2)

Adjacent Primes #5839829 ← → #5839837

Radix Representation

Decimal	5839832
Binary	10110010001101111011000 (23 bits)
Octal	0o26215730
Hexadecimal	0x591BD8

Divisor Catalog (8)

1 2 4 8 729,979 1,459,958 2,919,916 5,839,832

Collatz Trajectory (108 steps to reach 1)

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

5,839,832 2,919,916 1,459,958 729,979 2,189,938 1,094,969 3,284,908 1,642,454 821,227 2,463,682 1,231,841 3,695,524 1,847,762 923,881 2,771,644 1,385,822 692,911 2,078,734 1,039,367 3,118,102 1,559,051 4,677,154 2,338,577 7,015,732 3,507,866 1,753,933 5,261,800 2,630,900 1,315,450 657,725 1,973,176 986,588 493,294 246,647 739,942 369,971 1,109,914 554,957 1,664,872 832,436 416,218 208,109 624,328 312,164 156,082 78,041 234,124 117,062 58,531 175,594 87,797 263,392 131,696 65,848 32,924 16,462 8,231 24,694 12,347 37,042

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