λ
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Atlas › Integer Profiles › Node 1,509,438

1,509,438

2 × 3 × 7 × 83 × 433
Abundant Even Composite

1,509,438 factors as 2 × 3 × 7 × 83 × 433. Its 32 positive divisors give a proper-divisor sum of 1,990,338, so this integer is abundant. The Collatz stopping time is 168 steps.

Prime Factor Structure

Factorization String 2 × 3 × 7 × 83 × 433
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 3,499,776
Proper Divisor Sum 1,990,338
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #1509437 ← → #1509439

Radix Representation

Decimal 1509438
Binary 101110000100000111110 (21 bits)
Octal 0o5604076
Hexadecimal 0x17083E

Divisor Catalog (32)

1 2 3 6 7 14 21 42 83 166 249 433 498 581 866 1,162 1,299 1,743 2,598 3,031 3,486 6,062 9,093 18,186 35,939 71,878 107,817 215,634 251,573 503,146 754,719 1,509,438

Collatz Trajectory (168 steps to reach 1)

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

1,509,438 754,719 2,264,158 1,132,079 3,396,238 1,698,119 5,094,358 2,547,179 7,641,538 3,820,769 11,462,308 5,731,154 2,865,577 8,596,732 4,298,366 2,149,183 6,447,550 3,223,775 9,671,326 4,835,663 14,506,990 7,253,495 21,760,486 10,880,243 32,640,730 16,320,365 48,961,096 24,480,548 12,240,274 6,120,137 18,360,412 9,180,206 4,590,103 13,770,310 6,885,155 20,655,466 10,327,733 30,983,200 15,491,600 7,745,800 3,872,900 1,936,450 968,225 2,904,676 1,452,338 726,169 2,178,508 1,089,254 544,627 1,633,882 816,941 2,450,824 1,225,412 612,706 306,353 919,060 459,530 229,765 689,296 344,648

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