3,345,975

3³ × 5² × 4957

3,345,975 factors as 3^3 × 5^2 × 4957. Its 24 positive divisors give a proper-divisor sum of 2,801,945, so this integer is deficient. The Collatz stopping time is 164 steps.

Prime Factor Structure

Factorization String 3^3 × 5^2 × 4957

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 6,147,920

Proper Divisor Sum 2,801,945

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #3345967 ← → #3345989

Radix Representation

Decimal	3345975
Binary	1100110000111000110111 (22 bits)
Octal	0o14607067
Hexadecimal	0x330E37

Divisor Catalog (24)

Collatz Trajectory (164 steps to reach 1)

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

3,345,975 10,037,926 5,018,963 15,056,890 7,528,445 22,585,336 11,292,668 5,646,334 2,823,167 8,469,502 4,234,751 12,704,254 6,352,127 19,056,382 9,528,191 28,584,574 14,292,287 42,876,862 21,438,431 64,315,294 32,157,647 96,472,942 48,236,471 144,709,414 72,354,707 217,064,122 108,532,061 325,596,184 162,798,092 81,399,046 40,699,523 122,098,570 61,049,285 183,147,856 91,573,928 45,786,964 22,893,482 11,446,741 34,340,224 17,170,112 8,585,056 4,292,528 2,146,264 1,073,132 536,566 268,283 804,850 402,425 1,207,276 603,638 301,819 905,458 452,729 1,358,188 679,094 339,547 1,018,642 509,321 1,527,964 763,982

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