293,624

2³ × 17² × 127

293,624 is even and not a perfect square. Its factorization is 2^3 × 17^2 × 127 and its 24 divisors sum to 589,440.

Prime Factor Structure

Factorization String 2^3 × 17^2 × 127

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 589,440

Proper Divisor Sum 295,816

Digit Sum / Digital Root 26 (Root: 8)

Adjacent Primes #293621 ← → #293633

Radix Representation

Decimal	293624
Binary	1000111101011111000 (19 bits)
Octal	0o1075370
Hexadecimal	0x47AF8

Divisor Catalog (24)

1 2 4 8 17 34 68 127 136 254 289 508 578 1,016 1,156 2,159 2,312 4,318 8,636 17,272 36,703 73,406 146,812 293,624

Collatz Trajectory (158 steps to reach 1)

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

293,624 146,812 73,406 36,703 110,110 55,055 165,166 82,583 247,750 123,875 371,626 185,813 557,440 278,720 139,360 69,680 34,840 17,420 8,710 4,355 13,066 6,533 19,600 9,800 4,900 2,450 1,225 3,676 1,838 919 2,758 1,379 4,138 2,069 6,208 3,104 1,552 776 388 194 97 292 146 73 220 110 55 166 83 250 125 376 188 94 47 142 71 214 107 322

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