λ
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6,136,506

2 × 33 × 19 × 5981
Abundant Even Composite

6,136,506 factors as 2 × 3^3 × 19 × 5981. Its 32 positive divisors give a proper-divisor sum of 8,220,294, so this integer is abundant. The Collatz stopping time is 59 steps.

Prime Factor Structure

Factorization String 2 × 3^3 × 19 × 5981
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 14,356,800
Proper Divisor Sum 8,220,294
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #6136477 ← → #6136517

Radix Representation

Decimal 6136506
Binary 10111011010001010111010 (23 bits)
Octal 0o27321272
Hexadecimal 0x5DA2BA

Divisor Catalog (32)

1 2 3 6 9 18 19 27 38 54 57 114 171 342 513 1,026 5,981 11,962 17,943 35,886 53,829 107,658 113,639 161,487 227,278 322,974 340,917 681,834 1,022,751 2,045,502 3,068,253 6,136,506

Collatz Trajectory (59 steps to reach 1)

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

6,136,506 3,068,253 9,204,760 4,602,380 2,301,190 1,150,595 3,451,786 1,725,893 5,177,680 2,588,840 1,294,420 647,210 323,605 970,816 485,408 242,704 121,352 60,676 30,338 15,169 45,508 22,754 11,377 34,132 17,066 8,533 25,600 12,800 6,400 3,200 1,600 800 400 200 100 50 25 76 38 19 58 29 88 44 22 11 34 17 52 26 13 40 20 10 5 16 8 4 2 1

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