λ
Ratio Atlas

8,707,312

24 × 373 × 1459
Deficient Even Composite

8,707,312 factors as 2^4 × 373 × 1459. Its 20 positive divisors give a proper-divisor sum of 8,219,928, so this integer is deficient. The Collatz stopping time is 181 steps.

Prime Factor Structure

Factorization String 2^4 × 373 × 1459
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 20
Divisor Sum (σ) 16,927,240
Proper Divisor Sum 8,219,928
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #8707289 ← → #8707327

Radix Representation

Decimal 8707312
Binary 100001001101110011110000 (24 bits)
Octal 0o41156360
Hexadecimal 0x84DCF0

Divisor Catalog (20)

1 2 4 8 16 373 746 1,459 1,492 2,918 2,984 5,836 5,968 11,672 23,344 544,207 1,088,414 2,176,828 4,353,656 8,707,312

Collatz Trajectory (181 steps to reach 1)

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

8,707,312 4,353,656 2,176,828 1,088,414 544,207 1,632,622 816,311 2,448,934 1,224,467 3,673,402 1,836,701 5,510,104 2,755,052 1,377,526 688,763 2,066,290 1,033,145 3,099,436 1,549,718 774,859 2,324,578 1,162,289 3,486,868 1,743,434 871,717 2,615,152 1,307,576 653,788 326,894 163,447 490,342 245,171 735,514 367,757 1,103,272 551,636 275,818 137,909 413,728 206,864 103,432 51,716 25,858 12,929 38,788 19,394 9,697 29,092 14,546 7,273 21,820 10,910 5,455 16,366 8,183 24,550 12,275 36,826 18,413 55,240

More profiles

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