420,150

2 × 3 × 5² × 2801

420,150 factors as 2 × 3 × 5^2 × 2801. Its 24 positive divisors give a proper-divisor sum of 622,194, so this integer is abundant. The Collatz stopping time is 112 steps.

Prime Factor Structure

Factorization String 2 × 3 × 5^2 × 2801

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 1,042,344

Proper Divisor Sum 622,194

Digit Sum / Digital Root 12 (Root: 3)

Adjacent Primes #420149 ← → #420163

Radix Representation

Decimal	420150
Binary	1100110100100110110 (19 bits)
Octal	0o1464466
Hexadecimal	0x66936

Divisor Catalog (24)

1 2 3 5 6 10 15 25 30 50 75 150 2,801 5,602 8,403 14,005 16,806 28,010 42,015 70,025 84,030 140,050 210,075 420,150

Collatz Trajectory (112 steps to reach 1)

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

420,150 210,075 630,226 315,113 945,340 472,670 236,335 709,006 354,503 1,063,510 531,755 1,595,266 797,633 2,392,900 1,196,450 598,225 1,794,676 897,338 448,669 1,346,008 673,004 336,502 168,251 504,754 252,377 757,132 378,566 189,283 567,850 283,925 851,776 425,888 212,944 106,472 53,236 26,618 13,309 39,928 19,964 9,982 4,991 14,974 7,487 22,462 11,231 33,694 16,847 50,542 25,271 75,814 37,907 113,722 56,861 170,584 85,292 42,646 21,323 63,970 31,985 95,956

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