648,090

2 × 3² × 5 × 19 × 379

648,090 factors as 2 × 3^2 × 5 × 19 × 379. Its 48 positive divisors give a proper-divisor sum of 1,130,310, so this integer is abundant. The Collatz stopping time is 92 steps.

Prime Factor Structure

Factorization String 2 × 3^2 × 5 × 19 × 379

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 1,778,400

Proper Divisor Sum 1,130,310

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #648079 ← → #648097

Radix Representation

Decimal	648090
Binary	10011110001110011010 (20 bits)
Octal	0o2361632
Hexadecimal	0x9E39A

Divisor Catalog (48)

1 2 3 5 6 9 10 15 18 19 30 38 45 57 90 95 114 171 190 285 342 379 570 758 855 1,137 1,710 1,895 2,274 3,411 3,790 5,685 6,822 7,201 11,370 14,402 17,055 21,603 34,110 36,005 43,206 64,809 72,010 108,015 129,618 216,030 324,045 648,090

Collatz Trajectory (92 steps to reach 1)

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

648,090 324,045 972,136 486,068 243,034 121,517 364,552 182,276 91,138 45,569 136,708 68,354 34,177 102,532 51,266 25,633 76,900 38,450 19,225 57,676 28,838 14,419 43,258 21,629 64,888 32,444 16,222 8,111 24,334 12,167 36,502 18,251 54,754 27,377 82,132 41,066 20,533 61,600 30,800 15,400 7,700 3,850 1,925 5,776 2,888 1,444 722 361 1,084 542 271 814 407 1,222 611 1,834 917 2,752 1,376 688

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