35,720,264

2³ × 17 × 262649

35,720,264 factors as 2^3 × 17 × 262649. Its 16 positive divisors give a proper-divisor sum of 35,195,236, so this integer is deficient. The Collatz stopping time is 165 steps.

Prime Factor Structure

Factorization String 2^3 × 17 × 262649

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 70,915,500

Proper Divisor Sum 35,195,236

Digit Sum / Digital Root 29 (Root: 2)

Adjacent Primes #35720263 ← → #35720273

Radix Representation

Decimal	35720264
Binary	10001000010000110001001000 (26 bits)
Octal	0o210206110
Hexadecimal	0x2210C48

Divisor Catalog (16)

1 2 4 8 17 34 68 136 262,649 525,298 1,050,596 2,101,192 4,465,033 8,930,066 17,860,132 35,720,264

Collatz Trajectory (165 steps to reach 1)

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

35,720,264 17,860,132 8,930,066 4,465,033 13,395,100 6,697,550 3,348,775 10,046,326 5,023,163 15,069,490 7,534,745 22,604,236 11,302,118 5,651,059 16,953,178 8,476,589 25,429,768 12,714,884 6,357,442 3,178,721 9,536,164 4,768,082 2,384,041 7,152,124 3,576,062 1,788,031 5,364,094 2,682,047 8,046,142 4,023,071 12,069,214 6,034,607 18,103,822 9,051,911 27,155,734 13,577,867 40,733,602 20,366,801 61,100,404 30,550,202 15,275,101 45,825,304 22,912,652 11,456,326 5,728,163 17,184,490 8,592,245 25,776,736 12,888,368 6,444,184 3,222,092 1,611,046 805,523 2,416,570 1,208,285 3,624,856 1,812,428 906,214 453,107 1,359,322

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