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3,691,432

23 × 67 × 71 × 97
Deficient Even Composite

3,691,432 factors as 2^3 × 67 × 71 × 97. Its 32 positive divisors give a proper-divisor sum of 3,505,688, so this integer is deficient. The Collatz stopping time is 84 steps.

Prime Factor Structure

Factorization String 2^3 × 67 × 71 × 97
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 7,197,120
Proper Divisor Sum 3,505,688
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #3691403 ← → #3691447

Radix Representation

Decimal 3691432
Binary 1110000101001110101000 (22 bits)
Octal 0o16051650
Hexadecimal 0x3853A8

Divisor Catalog (32)

1 2 4 8 67 71 97 134 142 194 268 284 388 536 568 776 4,757 6,499 6,887 9,514 12,998 13,774 19,028 25,996 27,548 38,056 51,992 55,096 461,429 922,858 1,845,716 3,691,432

Collatz Trajectory (84 steps to reach 1)

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

3,691,432 1,845,716 922,858 461,429 1,384,288 692,144 346,072 173,036 86,518 43,259 129,778 64,889 194,668 97,334 48,667 146,002 73,001 219,004 109,502 54,751 164,254 82,127 246,382 123,191 369,574 184,787 554,362 277,181 831,544 415,772 207,886 103,943 311,830 155,915 467,746 233,873 701,620 350,810 175,405 526,216 263,108 131,554 65,777 197,332 98,666 49,333 148,000 74,000 37,000 18,500 9,250 4,625 13,876 6,938 3,469 10,408 5,204 2,602 1,301 3,904

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