1,238,300

2² × 5² × 7 × 29 × 61

1,238,300 factors as 2^2 × 5^2 × 7 × 29 × 61. Its 72 positive divisors give a proper-divisor sum of 1,990,660, so this integer is abundant. The Collatz stopping time is 204 steps.

Prime Factor Structure

Factorization String 2^2 × 5^2 × 7 × 29 × 61

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 72

Divisor Sum (σ) 3,228,960

Proper Divisor Sum 1,990,660

Digit Sum / Digital Root 17 (Root: 8)

Adjacent Primes #1238291 ← → #1238317

Radix Representation

Decimal	1238300
Binary	100101110010100011100 (21 bits)
Octal	0o4562434
Hexadecimal	0x12E51C

Divisor Catalog (60 of 72)

1 2 4 5 7 10 14 20 25 28 29 35 50 58 61 70 100 116 122 140 145 175 203 244 290 305 350 406 427 580 610 700 725 812 854 1,015 1,220 1,450 1,525 1,708 1,769 2,030 2,135 2,900 3,050 3,538 4,060 4,270 5,075 6,100 7,076 8,540 8,845 10,150 10,675 12,383 17,690 20,300 21,350 24,766

Collatz Trajectory (204 steps to reach 1)

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

1,238,300 619,150 309,575 928,726 464,363 1,393,090 696,545 2,089,636 1,044,818 522,409 1,567,228 783,614 391,807 1,175,422 587,711 1,763,134 881,567 2,644,702 1,322,351 3,967,054 1,983,527 5,950,582 2,975,291 8,925,874 4,462,937 13,388,812 6,694,406 3,347,203 10,041,610 5,020,805 15,062,416 7,531,208 3,765,604 1,882,802 941,401 2,824,204 1,412,102 706,051 2,118,154 1,059,077 3,177,232 1,588,616 794,308 397,154 198,577 595,732 297,866 148,933 446,800 223,400 111,700 55,850 27,925 83,776 41,888 20,944 10,472 5,236 2,618 1,309

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