1,460,760

2³ × 3 × 5 × 7 × 37 × 47

1,460,760 has the prime decomposition 2^3 × 3 × 5 × 7 × 37 × 47. Its 6 distinct prime factors produce 128 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 3 × 5 × 7 × 37 × 47

Distinct Prime Factors 6

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 128

Divisor Sum (σ) 5,253,120

Proper Divisor Sum 3,792,360

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #1460747 ← → #1460773

Radix Representation

Decimal	1460760
Binary	101100100101000011000 (21 bits)
Octal	0o5445030
Hexadecimal	0x164A18

Divisor Catalog (60 of 128)

1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 37 40 42 47 56 60 70 74 84 94 105 111 120 140 141 148 168 185 188 210 222 235 259 280 282 296 329 370 376 420 444 470 518 555 564 658 705 740 777 840 888 940

Collatz Trajectory (119 steps to reach 1)

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

1,460,760 730,380 365,190 182,595 547,786 273,893 821,680 410,840 205,420 102,710 51,355 154,066 77,033 231,100 115,550 57,775 173,326 86,663 259,990 129,995 389,986 194,993 584,980 292,490 146,245 438,736 219,368 109,684 54,842 27,421 82,264 41,132 20,566 10,283 30,850 15,425 46,276 23,138 11,569 34,708 17,354 8,677 26,032 13,016 6,508 3,254 1,627 4,882 2,441 7,324 3,662 1,831 5,494 2,747 8,242 4,121 12,364 6,182 3,091 9,274

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