1,518,736

2⁴ × 23 × 4127

1,518,736 factors as 2^4 × 23 × 4127. Its 20 positive divisors give a proper-divisor sum of 1,552,496, so this integer is abundant. The Collatz stopping time is 225 steps.

Prime Factor Structure

Factorization String 2^4 × 23 × 4127

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 20

Divisor Sum (σ) 3,071,232

Proper Divisor Sum 1,552,496

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #1518733 ← → #1518743

Radix Representation

Decimal	1518736
Binary	101110010110010010000 (21 bits)
Octal	0o5626220
Hexadecimal	0x172C90

Divisor Catalog (20)

Collatz Trajectory (225 steps to reach 1)

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

1,518,736 759,368 379,684 189,842 94,921 284,764 142,382 71,191 213,574 106,787 320,362 160,181 480,544 240,272 120,136 60,068 30,034 15,017 45,052 22,526 11,263 33,790 16,895 50,686 25,343 76,030 38,015 114,046 57,023 171,070 85,535 256,606 128,303 384,910 192,455 577,366 288,683 866,050 433,025 1,299,076 649,538 324,769 974,308 487,154 243,577 730,732 365,366 182,683 548,050 274,025 822,076 411,038 205,519 616,558 308,279 924,838 462,419 1,387,258 693,629 2,080,888

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