λ
Match Zalai

9,990,053

1657 × 6029
Deficient Odd Composite

9,990,053 factors as 1657 × 6029. Its 4 positive divisors give a proper-divisor sum of 7,687, so this integer is deficient. The Collatz stopping time is 282 steps.

Prime Factor Structure

Factorization String 1657 × 6029
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 9,997,740
Proper Divisor Sum 7,687
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #9990047 ← → #9990089

Radix Representation

Decimal 9990053
Binary 100110000110111110100101 (24 bits)
Octal 0o46067645
Hexadecimal 0x986FA5

Divisor Catalog (4)

1 1,657 6,029 9,990,053

Collatz Trajectory (282 steps to reach 1)

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

9,990,053 29,970,160 14,985,080 7,492,540 3,746,270 1,873,135 5,619,406 2,809,703 8,429,110 4,214,555 12,643,666 6,321,833 18,965,500 9,482,750 4,741,375 14,224,126 7,112,063 21,336,190 10,668,095 32,004,286 16,002,143 48,006,430 24,003,215 72,009,646 36,004,823 108,014,470 54,007,235 162,021,706 81,010,853 243,032,560 121,516,280 60,758,140 30,379,070 15,189,535 45,568,606 22,784,303 68,352,910 34,176,455 102,529,366 51,264,683 153,794,050 76,897,025 230,691,076 115,345,538 57,672,769 173,018,308 86,509,154 43,254,577 129,763,732 64,881,866 32,440,933 97,322,800 48,661,400 24,330,700 12,165,350 6,082,675 18,248,026 9,124,013 27,372,040 13,686,020

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