λ
Match Zalai

9,865,137

3 × 23 × 142973
Deficient Odd Composite

9,865,137 factors as 3 × 23 × 142973. Its 8 positive divisors give a proper-divisor sum of 3,860,367, so this integer is deficient. The Collatz stopping time is 88 steps.

Prime Factor Structure

Factorization String 3 × 23 × 142973
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 13,725,504
Proper Divisor Sum 3,860,367
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #9865129 ← → #9865139

Radix Representation

Decimal 9865137
Binary 100101101000011110110001 (24 bits)
Octal 0o45503661
Hexadecimal 0x9687B1

Divisor Catalog (8)

1 3 23 69 142,973 428,919 3,288,379 9,865,137

Collatz Trajectory (88 steps to reach 1)

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

9,865,137 29,595,412 14,797,706 7,398,853 22,196,560 11,098,280 5,549,140 2,774,570 1,387,285 4,161,856 2,080,928 1,040,464 520,232 260,116 130,058 65,029 195,088 97,544 48,772 24,386 12,193 36,580 18,290 9,145 27,436 13,718 6,859 20,578 10,289 30,868 15,434 7,717 23,152 11,576 5,788 2,894 1,447 4,342 2,171 6,514 3,257 9,772 4,886 2,443 7,330 3,665 10,996 5,498 2,749 8,248 4,124 2,062 1,031 3,094 1,547 4,642 2,321 6,964 3,482 1,741

More profiles

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