5,333,367

3 × 13 × 136753

5,333,367 factors as 3 × 13 × 136753. Its 8 positive divisors give a proper-divisor sum of 2,324,857, so this integer is deficient. The Collatz stopping time is 263 steps.

Prime Factor Structure

Factorization String 3 × 13 × 136753

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 7,658,224

Proper Divisor Sum 2,324,857

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #5333353 ← → #5333371

Radix Representation

Decimal	5333367
Binary	10100010110000101110111 (23 bits)
Octal	0o24260567
Hexadecimal	0x516177

Divisor Catalog (8)

1 3 13 39 136,753 410,259 1,777,789 5,333,367

Collatz Trajectory (263 steps to reach 1)

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

5,333,367 16,000,102 8,000,051 24,000,154 12,000,077 36,000,232 18,000,116 9,000,058 4,500,029 13,500,088 6,750,044 3,375,022 1,687,511 5,062,534 2,531,267 7,593,802 3,796,901 11,390,704 5,695,352 2,847,676 1,423,838 711,919 2,135,758 1,067,879 3,203,638 1,601,819 4,805,458 2,402,729 7,208,188 3,604,094 1,802,047 5,406,142 2,703,071 8,109,214 4,054,607 12,163,822 6,081,911 18,245,734 9,122,867 27,368,602 13,684,301 41,052,904 20,526,452 10,263,226 5,131,613 15,394,840 7,697,420 3,848,710 1,924,355 5,773,066 2,886,533 8,659,600 4,329,800 2,164,900 1,082,450 541,225 1,623,676 811,838 405,919 1,217,758

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