λ
Prime Ledger

160,428

22 × 3 × 29 × 461
Abundant Even Composite

160,428 has the prime decomposition 2^2 × 3 × 29 × 461. Its 4 distinct prime factors produce 24 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3 × 29 × 461
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 388,080
Proper Divisor Sum 227,652
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #160423 ← → #160441

Radix Representation

Decimal 160428
Binary 100111001010101100 (18 bits)
Octal 0o471254
Hexadecimal 0x272AC

Divisor Catalog (24)

1 2 3 4 6 12 29 58 87 116 174 348 461 922 1,383 1,844 2,766 5,532 13,369 26,738 40,107 53,476 80,214 160,428

Collatz Trajectory (95 steps to reach 1)

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

160,428 80,214 40,107 120,322 60,161 180,484 90,242 45,121 135,364 67,682 33,841 101,524 50,762 25,381 76,144 38,072 19,036 9,518 4,759 14,278 7,139 21,418 10,709 32,128 16,064 8,032 4,016 2,008 1,004 502 251 754 377 1,132 566 283 850 425 1,276 638 319 958 479 1,438 719 2,158 1,079 3,238 1,619 4,858 2,429 7,288 3,644 1,822 911 2,734 1,367 4,102 2,051 6,154

More profiles

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