150,584

2³ × 7 × 2689

150,584 factors as 2^3 × 7 × 2689. Its 16 positive divisors give a proper-divisor sum of 172,216, so this integer is abundant. The Collatz stopping time is 64 steps.

Prime Factor Structure

Factorization String 2^3 × 7 × 2689

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 322,800

Proper Divisor Sum 172,216

Digit Sum / Digital Root 23 (Root: 5)

Adjacent Primes #150583 ← → #150587

Radix Representation

Decimal	150584
Binary	100100110000111000 (18 bits)
Octal	0o446070
Hexadecimal	0x24C38

Divisor Catalog (16)

1 2 4 7 8 14 28 56 2,689 5,378 10,756 18,823 21,512 37,646 75,292 150,584

Collatz Trajectory (64 steps to reach 1)

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

150,584 75,292 37,646 18,823 56,470 28,235 84,706 42,353 127,060 63,530 31,765 95,296 47,648 23,824 11,912 5,956 2,978 1,489 4,468 2,234 1,117 3,352 1,676 838 419 1,258 629 1,888 944 472 236 118 59 178 89 268 134 67 202 101 304 152 76 38 19 58 29 88 44 22 11 34 17 52 26 13 40 20 10 5

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