λ
Sigma Notebook

3,688,287

3 × 31 × 39659
Deficient Odd Composite

3,688,287 is odd and not a perfect square. Its factorization is 3 × 31 × 39659 and its 8 divisors sum to 5,076,480.

Prime Factor Structure

Factorization String 3 × 31 × 39659
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 5,076,480
Proper Divisor Sum 1,388,193
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #3688277 ← → #3688301

Radix Representation

Decimal 3688287
Binary 1110000100011101011111 (22 bits)
Octal 0o16043537
Hexadecimal 0x38475F

Divisor Catalog (8)

1 3 31 93 39,659 118,977 1,229,429 3,688,287

Collatz Trajectory (84 steps to reach 1)

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

3,688,287 11,064,862 5,532,431 16,597,294 8,298,647 24,895,942 12,447,971 37,343,914 18,671,957 56,015,872 28,007,936 14,003,968 7,001,984 3,500,992 1,750,496 875,248 437,624 218,812 109,406 54,703 164,110 82,055 246,166 123,083 369,250 184,625 553,876 276,938 138,469 415,408 207,704 103,852 51,926 25,963 77,890 38,945 116,836 58,418 29,209 87,628 43,814 21,907 65,722 32,861 98,584 49,292 24,646 12,323 36,970 18,485 55,456 27,728 13,864 6,932 3,466 1,733 5,200 2,600 1,300 650

More profiles

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