1,736,289

3³ × 107 × 601

1,736,289 factors as 3^3 × 107 × 601. Its 16 positive divisors give a proper-divisor sum of 864,351, so this integer is deficient. The Collatz stopping time is 202 steps.

Prime Factor Structure

Factorization String 3^3 × 107 × 601

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 2,600,640

Proper Divisor Sum 864,351

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #1736281 ← → #1736303

Radix Representation

Decimal	1736289
Binary	110100111111001100001 (21 bits)
Octal	0o6477141
Hexadecimal	0x1A7E61

Divisor Catalog (16)

1 3 9 27 107 321 601 963 1,803 2,889 5,409 16,227 64,307 192,921 578,763 1,736,289

Collatz Trajectory (202 steps to reach 1)

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

1,736,289 5,208,868 2,604,434 1,302,217 3,906,652 1,953,326 976,663 2,929,990 1,464,995 4,394,986 2,197,493 6,592,480 3,296,240 1,648,120 824,060 412,030 206,015 618,046 309,023 927,070 463,535 1,390,606 695,303 2,085,910 1,042,955 3,128,866 1,564,433 4,693,300 2,346,650 1,173,325 3,519,976 1,759,988 879,994 439,997 1,319,992 659,996 329,998 164,999 494,998 247,499 742,498 371,249 1,113,748 556,874 278,437 835,312 417,656 208,828 104,414 52,207 156,622 78,311 234,934 117,467 352,402 176,201 528,604 264,302 132,151 396,454

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