1,434,591

3⁴ × 89 × 199

For 1,434,591, the 20 positive divisors have a total of 2,178,000. Removing 1,434,591 leaves 743,409, which gives the deficient classification.

Prime Factor Structure

Factorization String 3^4 × 89 × 199

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 20

Divisor Sum (σ) 2,178,000

Proper Divisor Sum 743,409

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #1434571 ← → #1434593

Radix Representation

Decimal	1434591
Binary	101011110001111011111 (21 bits)
Octal	0o5361737
Hexadecimal	0x15E3DF

Divisor Catalog (20)

1 3 9 27 81 89 199 267 597 801 1,791 2,403 5,373 7,209 16,119 17,711 53,133 159,399 478,197 1,434,591

Collatz Trajectory (305 steps to reach 1)

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

1,434,591 4,303,774 2,151,887 6,455,662 3,227,831 9,683,494 4,841,747 14,525,242 7,262,621 21,787,864 10,893,932 5,446,966 2,723,483 8,170,450 4,085,225 12,255,676 6,127,838 3,063,919 9,191,758 4,595,879 13,787,638 6,893,819 20,681,458 10,340,729 31,022,188 15,511,094 7,755,547 23,266,642 11,633,321 34,899,964 17,449,982 8,724,991 26,174,974 13,087,487 39,262,462 19,631,231 58,893,694 29,446,847 88,340,542 44,170,271 132,510,814 66,255,407 198,766,222 99,383,111 298,149,334 149,074,667 447,224,002 223,612,001 670,836,004 335,418,002 167,709,001 503,127,004 251,563,502 125,781,751 377,345,254 188,672,627 566,017,882 283,008,941 849,026,824 424,513,412

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