λ
Math Directory

3,717,107

3717107
Deficient Odd Prime

3,717,107 factors as 3717107. Its 2 positive divisors give a proper-divisor sum of 1, so this integer is deficient. The Collatz stopping time is 185 steps.

Prime Factor Structure

Factorization String 3717107
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 3,717,108
Proper Divisor Sum 1
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #3717083 ← → #3717113

Radix Representation

Decimal 3717107
Binary 1110001011011111110011 (22 bits)
Octal 0o16133763
Hexadecimal 0x38B7F3

Divisor Catalog (2)

Collatz Trajectory (185 steps to reach 1)

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

3,717,107 11,151,322 5,575,661 16,726,984 8,363,492 4,181,746 2,090,873 6,272,620 3,136,310 1,568,155 4,704,466 2,352,233 7,056,700 3,528,350 1,764,175 5,292,526 2,646,263 7,938,790 3,969,395 11,908,186 5,954,093 17,862,280 8,931,140 4,465,570 2,232,785 6,698,356 3,349,178 1,674,589 5,023,768 2,511,884 1,255,942 627,971 1,883,914 941,957 2,825,872 1,412,936 706,468 353,234 176,617 529,852 264,926 132,463 397,390 198,695 596,086 298,043 894,130 447,065 1,341,196 670,598 335,299 1,005,898 502,949 1,508,848 754,424 377,212 188,606 94,303 282,910 141,455

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