711,252

2² × 3² × 23 × 859

711,252 factors as 2^2 × 3^2 × 23 × 859. Its 36 positive divisors give a proper-divisor sum of 1,166,988, so this integer is abundant. The Collatz stopping time is 123 steps.

Prime Factor Structure

Factorization String 2^2 × 3^2 × 23 × 859

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 36

Divisor Sum (σ) 1,878,240

Proper Divisor Sum 1,166,988

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #711223 ← → #711259

Radix Representation

Decimal	711252
Binary	10101101101001010100 (20 bits)
Octal	0o2555124
Hexadecimal	0xADA54

Divisor Catalog (36)

1 2 3 4 6 9 12 18 23 36 46 69 92 138 207 276 414 828 859 1,718 2,577 3,436 5,154 7,731 10,308 15,462 19,757 30,924 39,514 59,271 79,028 118,542 177,813 237,084 355,626 711,252

Collatz Trajectory (123 steps to reach 1)

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

711,252 355,626 177,813 533,440 266,720 133,360 66,680 33,340 16,670 8,335 25,006 12,503 37,510 18,755 56,266 28,133 84,400 42,200 21,100 10,550 5,275 15,826 7,913 23,740 11,870 5,935 17,806 8,903 26,710 13,355 40,066 20,033 60,100 30,050 15,025 45,076 22,538 11,269 33,808 16,904 8,452 4,226 2,113 6,340 3,170 1,585 4,756 2,378 1,189 3,568 1,784 892 446 223 670 335 1,006 503 1,510 755

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