λ
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Atlas › Integer Profiles › Node 50,547,562

50,547,562

2 × 132 × 17 × 19 × 463
Deficient Even Composite

50,547,562 factors as 2 × 13^2 × 17 × 19 × 463. Its 48 positive divisors give a proper-divisor sum of 41,157,398, so this integer is deficient. The Collatz stopping time is 129 steps.

Prime Factor Structure

Factorization String 2 × 13^2 × 17 × 19 × 463
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 91,704,960
Proper Divisor Sum 41,157,398
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #50547509 ← → #50547569

Radix Representation

Decimal 50547562
Binary 11000000110100101101101010 (26 bits)
Octal 0o300645552
Hexadecimal 0x3034B6A

Divisor Catalog (48)

1 2 13 17 19 26 34 38 169 221 247 323 338 442 463 494 646 926 2,873 3,211 4,199 5,746 6,019 6,422 7,871 8,398 8,797 12,038 15,742 17,594 54,587 78,247 102,323 109,174 114,361 149,549 156,494 204,646 228,722 299,098 1,330,199 1,486,693 1,944,137 2,660,398 2,973,386 3,888,274 25,273,781 50,547,562

Collatz Trajectory (129 steps to reach 1)

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

50,547,562 25,273,781 75,821,344 37,910,672 18,955,336 9,477,668 4,738,834 2,369,417 7,108,252 3,554,126 1,777,063 5,331,190 2,665,595 7,996,786 3,998,393 11,995,180 5,997,590 2,998,795 8,996,386 4,498,193 13,494,580 6,747,290 3,373,645 10,120,936 5,060,468 2,530,234 1,265,117 3,795,352 1,897,676 948,838 474,419 1,423,258 711,629 2,134,888 1,067,444 533,722 266,861 800,584 400,292 200,146 100,073 300,220 150,110 75,055 225,166 112,583 337,750 168,875 506,626 253,313 759,940 379,970 189,985 569,956 284,978 142,489 427,468 213,734 106,867 320,602

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