1,298,375

5³ × 13 × 17 × 47

1,298,375 has the prime decomposition 5^3 × 13 × 17 × 47. Its 4 distinct prime factors produce 32 positive divisors.

Prime Factor Structure

Factorization String 5^3 × 13 × 17 × 47

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 1,886,976

Proper Divisor Sum 588,601

Digit Sum / Digital Root 35 (Root: 8)

Adjacent Primes #1298371 ← → #1298387

Radix Representation

Decimal	1298375
Binary	100111100111111000111 (21 bits)
Octal	0o4747707
Hexadecimal	0x13CFC7

Divisor Catalog (32)

1 5 13 17 25 47 65 85 125 221 235 325 425 611 799 1,105 1,175 1,625 2,125 3,055 3,995 5,525 5,875 10,387 15,275 19,975 27,625 51,935 76,375 99,875 259,675 1,298,375

Collatz Trajectory (67 steps to reach 1)

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

1,298,375 3,895,126 1,947,563 5,842,690 2,921,345 8,764,036 4,382,018 2,191,009 6,573,028 3,286,514 1,643,257 4,929,772 2,464,886 1,232,443 3,697,330 1,848,665 5,545,996 2,772,998 1,386,499 4,159,498 2,079,749 6,239,248 3,119,624 1,559,812 779,906 389,953 1,169,860 584,930 292,465 877,396 438,698 219,349 658,048 329,024 164,512 82,256 41,128 20,564 10,282 5,141 15,424 7,712 3,856 1,928 964 482 241 724 362 181 544 272 136 68 34 17 52 26 13 40

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