5,242,410

2 × 3² × 5 × 31 × 1879

5,242,410 factors as 2 × 3^2 × 5 × 31 × 1879. Its 48 positive divisors give a proper-divisor sum of 8,835,030, so this integer is abundant. The Collatz stopping time is 126 steps.

Prime Factor Structure

Factorization String 2 × 3^2 × 5 × 31 × 1879

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 14,077,440

Proper Divisor Sum 8,835,030

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #5242399 ← → #5242411

Radix Representation

Decimal	5242410
Binary	10011111111111000101010 (23 bits)
Octal	0o23777052
Hexadecimal	0x4FFE2A

Divisor Catalog (48)

1 2 3 5 6 9 10 15 18 30 31 45 62 90 93 155 186 279 310 465 558 930 1,395 1,879 2,790 3,758 5,637 9,395 11,274 16,911 18,790 28,185 33,822 56,370 58,249 84,555 116,498 169,110 174,747 291,245 349,494 524,241 582,490 873,735 1,048,482 1,747,470 2,621,205 5,242,410

Collatz Trajectory (126 steps to reach 1)

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

5,242,410 2,621,205 7,863,616 3,931,808 1,965,904 982,952 491,476 245,738 122,869 368,608 184,304 92,152 46,076 23,038 11,519 34,558 17,279 51,838 25,919 77,758 38,879 116,638 58,319 174,958 87,479 262,438 131,219 393,658 196,829 590,488 295,244 147,622 73,811 221,434 110,717 332,152 166,076 83,038 41,519 124,558 62,279 186,838 93,419 280,258 140,129 420,388 210,194 105,097 315,292 157,646 78,823 236,470 118,235 354,706 177,353 532,060 266,030 133,015 399,046 199,523

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