λ
Prime Ledger

301,236

22 × 3 × 13 × 1931
Abundant Even Composite

301,236 has the prime decomposition 2^2 × 3 × 13 × 1931. Its 4 distinct prime factors produce 24 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3 × 13 × 1931
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 757,344
Proper Divisor Sum 456,108
Digit Sum / Digital Root 15 (Root: 6)
Adjacent Primes #301219 ← → #301237

Radix Representation

Decimal 301236
Binary 1001001100010110100 (19 bits)
Octal 0o1114264
Hexadecimal 0x498B4

Divisor Catalog (24)

1 2 3 4 6 12 13 26 39 52 78 156 1,931 3,862 5,793 7,724 11,586 23,172 25,103 50,206 75,309 100,412 150,618 301,236

Collatz Trajectory (158 steps to reach 1)

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

301,236 150,618 75,309 225,928 112,964 56,482 28,241 84,724 42,362 21,181 63,544 31,772 15,886 7,943 23,830 11,915 35,746 17,873 53,620 26,810 13,405 40,216 20,108 10,054 5,027 15,082 7,541 22,624 11,312 5,656 2,828 1,414 707 2,122 1,061 3,184 1,592 796 398 199 598 299 898 449 1,348 674 337 1,012 506 253 760 380 190 95 286 143 430 215 646 323

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