λ
Prime Ledger

3,698,187

3 × 37 × 33317
Deficient Odd Composite

3,698,187 has the prime decomposition 3 × 37 × 33317. Its 3 distinct prime factors produce 8 positive divisors.

Prime Factor Structure

Factorization String 3 × 37 × 33317
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 5,064,336
Proper Divisor Sum 1,366,149
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #3698183 ← → #3698203

Radix Representation

Decimal 3698187
Binary 1110000110111000001011 (22 bits)
Octal 0o16067013
Hexadecimal 0x386E0B

Divisor Catalog (8)

1 3 37 111 33,317 99,951 1,232,729 3,698,187

Collatz Trajectory (84 steps to reach 1)

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

3,698,187 11,094,562 5,547,281 16,641,844 8,320,922 4,160,461 12,481,384 6,240,692 3,120,346 1,560,173 4,680,520 2,340,260 1,170,130 585,065 1,755,196 877,598 438,799 1,316,398 658,199 1,974,598 987,299 2,961,898 1,480,949 4,442,848 2,221,424 1,110,712 555,356 277,678 138,839 416,518 208,259 624,778 312,389 937,168 468,584 234,292 117,146 58,573 175,720 87,860 43,930 21,965 65,896 32,948 16,474 8,237 24,712 12,356 6,178 3,089 9,268 4,634 2,317 6,952 3,476 1,738 869 2,608 1,304 652

More profiles

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