1,451,100

2² × 3 × 5² × 7 × 691

1,451,100 factors as 2^2 × 3 × 5^2 × 7 × 691. Its 72 positive divisors give a proper-divisor sum of 3,354,148, so this integer is abundant. The Collatz stopping time is 124 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 5^2 × 7 × 691

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 72

Divisor Sum (σ) 4,805,248

Proper Divisor Sum 3,354,148

Digit Sum / Digital Root 12 (Root: 3)

Adjacent Primes #1451083 ← → #1451119

Radix Representation

Decimal	1451100
Binary	101100010010001011100 (21 bits)
Octal	0o5422134
Hexadecimal	0x16245C

Divisor Catalog (60 of 72)

1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 50 60 70 75 84 100 105 140 150 175 210 300 350 420 525 691 700 1,050 1,382 2,073 2,100 2,764 3,455 4,146 4,837 6,910 8,292 9,674 10,365 13,820 14,511 17,275 19,348 20,730 24,185 29,022 34,550 41,460 48,370 51,825 58,044 69,100

Collatz Trajectory (124 steps to reach 1)

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

1,451,100 725,550 362,775 1,088,326 544,163 1,632,490 816,245 2,448,736 1,224,368 612,184 306,092 153,046 76,523 229,570 114,785 344,356 172,178 86,089 258,268 129,134 64,567 193,702 96,851 290,554 145,277 435,832 217,916 108,958 54,479 163,438 81,719 245,158 122,579 367,738 183,869 551,608 275,804 137,902 68,951 206,854 103,427 310,282 155,141 465,424 232,712 116,356 58,178 29,089 87,268 43,634 21,817 65,452 32,726 16,363 49,090 24,545 73,636 36,818 18,409 55,228

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