711,965

5 × 23 × 41 × 151

711,965 factors as 5 × 23 × 41 × 151. Its 16 positive divisors give a proper-divisor sum of 207,331, so this integer is deficient. The Collatz stopping time is 97 steps.

Prime Factor Structure

Factorization String 5 × 23 × 41 × 151

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 919,296

Proper Divisor Sum 207,331

Digit Sum / Digital Root 29 (Root: 2)

Adjacent Primes #711959 ← → #711967

Radix Representation

Decimal	711965
Binary	10101101110100011101 (20 bits)
Octal	0o2556435
Hexadecimal	0xADD1D

Divisor Catalog (16)

1 5 23 41 115 151 205 755 943 3,473 4,715 6,191 17,365 30,955 142,393 711,965

Collatz Trajectory (97 steps to reach 1)

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

711,965 2,135,896 1,067,948 533,974 266,987 800,962 400,481 1,201,444 600,722 300,361 901,084 450,542 225,271 675,814 337,907 1,013,722 506,861 1,520,584 760,292 380,146 190,073 570,220 285,110 142,555 427,666 213,833 641,500 320,750 160,375 481,126 240,563 721,690 360,845 1,082,536 541,268 270,634 135,317 405,952 202,976 101,488 50,744 25,372 12,686 6,343 19,030 9,515 28,546 14,273 42,820 21,410 10,705 32,116 16,058 8,029 24,088 12,044 6,022 3,011 9,034 4,517

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