λ
Sigma Notebook

3,688,117

3688117
Deficient Odd Prime

3,688,117 is odd and not a perfect square. Its factorization is 3688117 and its 2 divisors sum to 3,688,118.

Prime Factor Structure

Factorization String 3688117
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 3,688,118
Proper Divisor Sum 1
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #3688093 ← → #3688127

Radix Representation

Decimal 3688117
Binary 1110000100011010110101 (22 bits)
Octal 0o16043265
Hexadecimal 0x3846B5

Divisor Catalog (2)

Collatz Trajectory (203 steps to reach 1)

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

3,688,117 11,064,352 5,532,176 2,766,088 1,383,044 691,522 345,761 1,037,284 518,642 259,321 777,964 388,982 194,491 583,474 291,737 875,212 437,606 218,803 656,410 328,205 984,616 492,308 246,154 123,077 369,232 184,616 92,308 46,154 23,077 69,232 34,616 17,308 8,654 4,327 12,982 6,491 19,474 9,737 29,212 14,606 7,303 21,910 10,955 32,866 16,433 49,300 24,650 12,325 36,976 18,488 9,244 4,622 2,311 6,934 3,467 10,402 5,201 15,604 7,802 3,901

More profiles

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