65,713,263

3 × 7² × 11 × 40639

65,713,263 factors as 3 × 7^2 × 11 × 40639. Its 24 positive divisors give a proper-divisor sum of 45,477,777, so this integer is deficient. The Collatz stopping time is 171 steps.

Prime Factor Structure

Factorization String 3 × 7^2 × 11 × 40639

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 111,191,040

Proper Divisor Sum 45,477,777

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #65713261 ← → #65713303

Radix Representation

Decimal	65713263
Binary	11111010101011010001101111 (26 bits)
Octal	0o372532157
Hexadecimal	0x3EAB46F

Divisor Catalog (24)

Collatz Trajectory (171 steps to reach 1)

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

65,713,263 197,139,790 98,569,895 295,709,686 147,854,843 443,564,530 221,782,265 665,346,796 332,673,398 166,336,699 499,010,098 249,505,049 748,515,148 374,257,574 187,128,787 561,386,362 280,693,181 842,079,544 421,039,772 210,519,886 105,259,943 315,779,830 157,889,915 473,669,746 236,834,873 710,504,620 355,252,310 177,626,155 532,878,466 266,439,233 799,317,700 399,658,850 199,829,425 599,488,276 299,744,138 149,872,069 449,616,208 224,808,104 112,404,052 56,202,026 28,101,013 84,303,040 42,151,520 21,075,760 10,537,880 5,268,940 2,634,470 1,317,235 3,951,706 1,975,853 5,927,560 2,963,780 1,481,890 740,945 2,222,836 1,111,418 555,709 1,667,128 833,564 416,782

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