9,715,545

3⁴ × 5 × 7 × 23 × 149

9,715,545 factors as 3^4 × 5 × 7 × 23 × 149. Its 80 positive divisors give a proper-divisor sum of 11,193,255, so this integer is abundant. The Collatz stopping time is 88 steps.

Prime Factor Structure

Factorization String 3^4 × 5 × 7 × 23 × 149

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 80

Divisor Sum (σ) 20,908,800

Proper Divisor Sum 11,193,255

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #9715543 ← → #9715547

Radix Representation

Decimal	9715545
Binary	100101000011111101011001 (24 bits)
Octal	0o45037531
Hexadecimal	0x943F59

Divisor Catalog (60 of 80)

1 3 5 7 9 15 21 23 27 35 45 63 69 81 105 115 135 149 161 189 207 315 345 405 447 483 567 621 745 805 945 1,035 1,043 1,341 1,449 1,863 2,235 2,415 2,835 3,105 3,129 3,427 4,023 4,347 5,215 6,705 7,245 9,315 9,387 10,281 12,069 13,041 15,645 17,135 20,115 21,735 23,989 28,161 30,843 46,935

Collatz Trajectory (88 steps to reach 1)

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

9,715,545 29,146,636 14,573,318 7,286,659 21,859,978 10,929,989 32,789,968 16,394,984 8,197,492 4,098,746 2,049,373 6,148,120 3,074,060 1,537,030 768,515 2,305,546 1,152,773 3,458,320 1,729,160 864,580 432,290 216,145 648,436 324,218 162,109 486,328 243,164 121,582 60,791 182,374 91,187 273,562 136,781 410,344 205,172 102,586 51,293 153,880 76,940 38,470 19,235 57,706 28,853 86,560 43,280 21,640 10,820 5,410 2,705 8,116 4,058 2,029 6,088 3,044 1,522 761 2,284 1,142 571 1,714

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