711,063

3² × 41² × 47

711,063 factors as 3^2 × 41^2 × 47. Its 18 positive divisors give a proper-divisor sum of 364,089, so this integer is deficient. The Collatz stopping time is 97 steps.

Prime Factor Structure

Factorization String 3^2 × 41^2 × 47

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 18

Divisor Sum (σ) 1,075,152

Proper Divisor Sum 364,089

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #711049 ← → #711089

Radix Representation

Decimal	711063
Binary	10101101100110010111 (20 bits)
Octal	0o2554627
Hexadecimal	0xAD997

Divisor Catalog (18)

1 3 9 41 47 123 141 369 423 1,681 1,927 5,043 5,781 15,129 17,343 79,007 237,021 711,063

Collatz Trajectory (97 steps to reach 1)

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

711,063 2,133,190 1,066,595 3,199,786 1,599,893 4,799,680 2,399,840 1,199,920 599,960 299,980 149,990 74,995 224,986 112,493 337,480 168,740 84,370 42,185 126,556 63,278 31,639 94,918 47,459 142,378 71,189 213,568 106,784 53,392 26,696 13,348 6,674 3,337 10,012 5,006 2,503 7,510 3,755 11,266 5,633 16,900 8,450 4,225 12,676 6,338 3,169 9,508 4,754 2,377 7,132 3,566 1,783 5,350 2,675 8,026 4,013 12,040 6,020 3,010 1,505 4,516

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