λ
Match Zalai

316,283

11 × 28753
Deficient Odd Composite

316,283 factors as 11 × 28753. Its 4 positive divisors give a proper-divisor sum of 28,765, so this integer is deficient. The Collatz stopping time is 101 steps.

Prime Factor Structure

Factorization String 11 × 28753
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 345,048
Proper Divisor Sum 28,765
Digit Sum / Digital Root 23 (Root: 5)
Adjacent Primes #316271 ← → #316291

Radix Representation

Decimal 316283
Binary 1001101001101111011 (19 bits)
Octal 0o1151573
Hexadecimal 0x4D37B

Divisor Catalog (4)

1 11 28,753 316,283

Collatz Trajectory (101 steps to reach 1)

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

316,283 948,850 474,425 1,423,276 711,638 355,819 1,067,458 533,729 1,601,188 800,594 400,297 1,200,892 600,446 300,223 900,670 450,335 1,351,006 675,503 2,026,510 1,013,255 3,039,766 1,519,883 4,559,650 2,279,825 6,839,476 3,419,738 1,709,869 5,129,608 2,564,804 1,282,402 641,201 1,923,604 961,802 480,901 1,442,704 721,352 360,676 180,338 90,169 270,508 135,254 67,627 202,882 101,441 304,324 152,162 76,081 228,244 114,122 57,061 171,184 85,592 42,796 21,398 10,699 32,098 16,049 48,148 24,074 12,037

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