λ
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Atlas › Integer Profiles › Node 5,203,474

5,203,474

2 × 23 × 31 × 41 × 89
Deficient Even Composite

5,203,474 factors as 2 × 23 × 31 × 41 × 89. Its 32 positive divisors give a proper-divisor sum of 3,505,646, so this integer is deficient. The Collatz stopping time is 250 steps.

Prime Factor Structure

Factorization String 2 × 23 × 31 × 41 × 89
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 8,709,120
Proper Divisor Sum 3,505,646
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #5203453 ← → #5203477

Radix Representation

Decimal 5203474
Binary 10011110110011000010010 (23 bits)
Octal 0o23663022
Hexadecimal 0x4F6612

Divisor Catalog (32)

1 2 23 31 41 46 62 82 89 178 713 943 1,271 1,426 1,886 2,047 2,542 2,759 3,649 4,094 5,518 7,298 29,233 58,466 63,457 83,927 113,119 126,914 167,854 226,238 2,601,737 5,203,474

Collatz Trajectory (250 steps to reach 1)

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

5,203,474 2,601,737 7,805,212 3,902,606 1,951,303 5,853,910 2,926,955 8,780,866 4,390,433 13,171,300 6,585,650 3,292,825 9,878,476 4,939,238 2,469,619 7,408,858 3,704,429 11,113,288 5,556,644 2,778,322 1,389,161 4,167,484 2,083,742 1,041,871 3,125,614 1,562,807 4,688,422 2,344,211 7,032,634 3,516,317 10,548,952 5,274,476 2,637,238 1,318,619 3,955,858 1,977,929 5,933,788 2,966,894 1,483,447 4,450,342 2,225,171 6,675,514 3,337,757 10,013,272 5,006,636 2,503,318 1,251,659 3,754,978 1,877,489 5,632,468 2,816,234 1,408,117 4,224,352 2,112,176 1,056,088 528,044 264,022 132,011 396,034 198,017

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