13,152

2⁵ × 3 × 137

13,152 has digital root 3. The neighboring primes are 13151 and 13159; its proper-divisor sum differs from the starting integer by 8,472.

Prime Factor Structure

Factorization String 2^5 × 3 × 137

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 34,776

Proper Divisor Sum 21,624

Digit Sum / Digital Root 12 (Root: 3)

Adjacent Primes #13151 ← → #13159

Radix Representation

Decimal	13152
Binary	11001101100000 (14 bits)
Octal	0o31540
Hexadecimal	0x3360

Divisor Catalog (24)

1 2 3 4 6 8 12 16 24 32 48 96 137 274 411 548 822 1,096 1,644 2,192 3,288 4,384 6,576 13,152

Collatz Trajectory (138 steps to reach 1)

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

13,152 6,576 3,288 1,644 822 411 1,234 617 1,852 926 463 1,390 695 2,086 1,043 3,130 1,565 4,696 2,348 1,174 587 1,762 881 2,644 1,322 661 1,984 992 496 248 124 62 31 94 47 142 71 214 107 322 161 484 242 121 364 182 91 274 137 412 206 103 310 155 466 233 700 350 175 526

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