λ
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Atlas › Integer Profiles › Node 28,964,770

28,964,770

2 × 5 × 17 × 67 × 2543
Deficient Even Composite

28,964,770 factors as 2 × 5 × 17 × 67 × 2543. Its 32 positive divisors give a proper-divisor sum of 27,084,638, so this integer is deficient. The Collatz stopping time is 175 steps.

Prime Factor Structure

Factorization String 2 × 5 × 17 × 67 × 2543
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 56,049,408
Proper Divisor Sum 27,084,638
Digit Sum / Digital Root 43 (Root: 7)
Adjacent Primes #28964743 ← → #28964779

Radix Representation

Decimal 28964770
Binary 1101110011111011110100010 (25 bits)
Octal 0o156373642
Hexadecimal 0x1B9F7A2

Divisor Catalog (32)

1 2 5 10 17 34 67 85 134 170 335 670 1,139 2,278 2,543 5,086 5,695 11,390 12,715 25,430 43,231 86,462 170,381 216,155 340,762 432,310 851,905 1,703,810 2,896,477 5,792,954 14,482,385 28,964,770

Collatz Trajectory (175 steps to reach 1)

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

28,964,770 14,482,385 43,447,156 21,723,578 10,861,789 32,585,368 16,292,684 8,146,342 4,073,171 12,219,514 6,109,757 18,329,272 9,164,636 4,582,318 2,291,159 6,873,478 3,436,739 10,310,218 5,155,109 15,465,328 7,732,664 3,866,332 1,933,166 966,583 2,899,750 1,449,875 4,349,626 2,174,813 6,524,440 3,262,220 1,631,110 815,555 2,446,666 1,223,333 3,670,000 1,835,000 917,500 458,750 229,375 688,126 344,063 1,032,190 516,095 1,548,286 774,143 2,322,430 1,161,215 3,483,646 1,741,823 5,225,470 2,612,735 7,838,206 3,919,103 11,757,310 5,878,655 17,635,966 8,817,983 26,453,950 13,226,975 39,680,926

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