λ
Ratio Atlas

35,095,727

35095727
Deficient Odd Prime

35,095,727 factors as 35095727. Its 2 positive divisors give a proper-divisor sum of 1, so this integer is deficient. The Collatz stopping time is 201 steps.

Prime Factor Structure

Factorization String 35095727
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 35,095,728
Proper Divisor Sum 1
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #35095703 ← → #35095733

Radix Representation

Decimal 35095727
Binary 10000101111000010010101111 (26 bits)
Octal 0o205702257
Hexadecimal 0x21784AF

Divisor Catalog (2)

Collatz Trajectory (201 steps to reach 1)

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

35,095,727 105,287,182 52,643,591 157,930,774 78,965,387 236,896,162 118,448,081 355,344,244 177,672,122 88,836,061 266,508,184 133,254,092 66,627,046 33,313,523 99,940,570 49,970,285 149,910,856 74,955,428 37,477,714 18,738,857 56,216,572 28,108,286 14,054,143 42,162,430 21,081,215 63,243,646 31,621,823 94,865,470 47,432,735 142,298,206 71,149,103 213,447,310 106,723,655 320,170,966 160,085,483 480,256,450 240,128,225 720,384,676 360,192,338 180,096,169 540,288,508 270,144,254 135,072,127 405,216,382 202,608,191 607,824,574 303,912,287 911,736,862 455,868,431 1,367,605,294 683,802,647 2,051,407,942 1,025,703,971 3,077,111,914 1,538,555,957 4,615,667,872 2,307,833,936 1,153,916,968 576,958,484 288,479,242

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