λ
Integer Codex

9,936,737

9936737
Deficient Odd Prime

For 9,936,737, the 2 positive divisors have a total of 9,936,738. Removing 9,936,737 leaves 1, which gives the deficient classification.

Prime Factor Structure

Factorization String 9936737
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 9,936,738
Proper Divisor Sum 1
Digit Sum / Digital Root 44 (Root: 8)
Adjacent Primes #9936733 ← → #9936739

Radix Representation

Decimal 9936737
Binary 100101111001111101100001 (24 bits)
Octal 0o45717541
Hexadecimal 0x979F61

Divisor Catalog (2)

Collatz Trajectory (88 steps to reach 1)

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

9,936,737 29,810,212 14,905,106 7,452,553 22,357,660 11,178,830 5,589,415 16,768,246 8,384,123 25,152,370 12,576,185 37,728,556 18,864,278 9,432,139 28,296,418 14,148,209 42,444,628 21,222,314 10,611,157 31,833,472 15,916,736 7,958,368 3,979,184 1,989,592 994,796 497,398 248,699 746,098 373,049 1,119,148 559,574 279,787 839,362 419,681 1,259,044 629,522 314,761 944,284 472,142 236,071 708,214 354,107 1,062,322 531,161 1,593,484 796,742 398,371 1,195,114 597,557 1,792,672 896,336 448,168 224,084 112,042 56,021 168,064 84,032 42,016 21,008 10,504

More profiles

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