λ
Math Directory

3,253,813

3253813
Deficient Odd Prime

3,253,813 factors as 3253813. Its 2 positive divisors give a proper-divisor sum of 1, so this integer is deficient. The Collatz stopping time is 71 steps.

Prime Factor Structure

Factorization String 3253813
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 3,253,814
Proper Divisor Sum 1
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #3253799 ← → #3253823

Radix Representation

Decimal 3253813
Binary 1100011010011000110101 (22 bits)
Octal 0o14323065
Hexadecimal 0x31A635

Divisor Catalog (2)

1 3,253,813

Collatz Trajectory (71 steps to reach 1)

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

3,253,813 9,761,440 4,880,720 2,440,360 1,220,180 610,090 305,045 915,136 457,568 228,784 114,392 57,196 28,598 14,299 42,898 21,449 64,348 32,174 16,087 48,262 24,131 72,394 36,197 108,592 54,296 27,148 13,574 6,787 20,362 10,181 30,544 15,272 7,636 3,818 1,909 5,728 2,864 1,432 716 358 179 538 269 808 404 202 101 304 152 76 38 19 58 29 88 44 22 11 34 17

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