1,322,992

2⁴ × 11 × 7517

1,322,992 factors as 2^4 × 11 × 7517. Its 20 positive divisors give a proper-divisor sum of 1,473,704, so this integer is abundant. The Collatz stopping time is 124 steps.

Prime Factor Structure

Factorization String 2^4 × 11 × 7517

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 20

Divisor Sum (σ) 2,796,696

Proper Divisor Sum 1,473,704

Digit Sum / Digital Root 28 (Root: 1)

Adjacent Primes #1322977 ← → #1323001

Radix Representation

Decimal	1322992
Binary	101000010111111110000 (21 bits)
Octal	0o5027760
Hexadecimal	0x142FF0

Divisor Catalog (20)

Collatz Trajectory (124 steps to reach 1)

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

1,322,992 661,496 330,748 165,374 82,687 248,062 124,031 372,094 186,047 558,142 279,071 837,214 418,607 1,255,822 627,911 1,883,734 941,867 2,825,602 1,412,801 4,238,404 2,119,202 1,059,601 3,178,804 1,589,402 794,701 2,384,104 1,192,052 596,026 298,013 894,040 447,020 223,510 111,755 335,266 167,633 502,900 251,450 125,725 377,176 188,588 94,294 47,147 141,442 70,721 212,164 106,082 53,041 159,124 79,562 39,781 119,344 59,672 29,836 14,918 7,459 22,378 11,189 33,568 16,784 8,392

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