7,654,014

2 × 3⁵ × 15749

7,654,014 factors as 2 × 3^5 × 15749. Its 24 positive divisors give a proper-divisor sum of 9,544,986, so this integer is abundant. The Collatz stopping time is 261 steps.

Prime Factor Structure

Factorization String 2 × 3^5 × 15749

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 17,199,000

Proper Divisor Sum 9,544,986

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #7654007 ← → #7654019

Radix Representation

Decimal	7654014
Binary	11101001100101001111110 (23 bits)
Octal	0o35145176
Hexadecimal	0x74CA7E

Divisor Catalog (24)

Collatz Trajectory (261 steps to reach 1)

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

7,654,014 3,827,007 11,481,022 5,740,511 17,221,534 8,610,767 25,832,302 12,916,151 38,748,454 19,374,227 58,122,682 29,061,341 87,184,024 43,592,012 21,796,006 10,898,003 32,694,010 16,347,005 49,041,016 24,520,508 12,260,254 6,130,127 18,390,382 9,195,191 27,585,574 13,792,787 41,378,362 20,689,181 62,067,544 31,033,772 15,516,886 7,758,443 23,275,330 11,637,665 34,912,996 17,456,498 8,728,249 26,184,748 13,092,374 6,546,187 19,638,562 9,819,281 29,457,844 14,728,922 7,364,461 22,093,384 11,046,692 5,523,346 2,761,673 8,285,020 4,142,510 2,071,255 6,213,766 3,106,883 9,320,650 4,660,325 13,980,976 6,990,488 3,495,244 1,747,622

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