1,508,500

2² × 5³ × 7 × 431

1,508,500 has the prime decomposition 2^2 × 5^3 × 7 × 431. Its 4 distinct prime factors produce 48 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 5^3 × 7 × 431

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 3,773,952

Proper Divisor Sum 2,265,452

Digit Sum / Digital Root 19 (Root: 1)

Adjacent Primes #1508489 ← → #1508509

Radix Representation

Decimal	1508500
Binary	101110000010010010100 (21 bits)
Octal	0o5602224
Hexadecimal	0x170494

Divisor Catalog (48)

1 2 4 5 7 10 14 20 25 28 35 50 70 100 125 140 175 250 350 431 500 700 862 875 1,724 1,750 2,155 3,017 3,500 4,310 6,034 8,620 10,775 12,068 15,085 21,550 30,170 43,100 53,875 60,340 75,425 107,750 150,850 215,500 301,700 377,125 754,250 1,508,500

Collatz Trajectory (132 steps to reach 1)

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

1,508,500 754,250 377,125 1,131,376 565,688 282,844 141,422 70,711 212,134 106,067 318,202 159,101 477,304 238,652 119,326 59,663 178,990 89,495 268,486 134,243 402,730 201,365 604,096 302,048 151,024 75,512 37,756 18,878 9,439 28,318 14,159 42,478 21,239 63,718 31,859 95,578 47,789 143,368 71,684 35,842 17,921 53,764 26,882 13,441 40,324 20,162 10,081 30,244 15,122 7,561 22,684 11,342 5,671 17,014 8,507 25,522 12,761 38,284 19,142 9,571

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