λ
Prime Ledger

5,731,712

27 × 7 × 6397
Abundant Even Composite

5,731,712 has the prime decomposition 2^7 × 7 × 6397. Its 3 distinct prime factors produce 32 positive divisors.

Prime Factor Structure

Factorization String 2^7 × 7 × 6397
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 13,051,920
Proper Divisor Sum 7,320,208
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #5731709 ← → #5731717

Radix Representation

Decimal 5731712
Binary 10101110111010110000000 (23 bits)
Octal 0o25672600
Hexadecimal 0x577580

Divisor Catalog (32)

1 2 4 7 8 14 16 28 32 56 64 112 128 224 448 896 6,397 12,794 25,588 44,779 51,176 89,558 102,352 179,116 204,704 358,232 409,408 716,464 818,816 1,432,928 2,865,856 5,731,712

Collatz Trajectory (77 steps to reach 1)

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

5,731,712 2,865,856 1,432,928 716,464 358,232 179,116 89,558 44,779 134,338 67,169 201,508 100,754 50,377 151,132 75,566 37,783 113,350 56,675 170,026 85,013 255,040 127,520 63,760 31,880 15,940 7,970 3,985 11,956 5,978 2,989 8,968 4,484 2,242 1,121 3,364 1,682 841 2,524 1,262 631 1,894 947 2,842 1,421 4,264 2,132 1,066 533 1,600 800 400 200 100 50 25 76 38 19 58 29

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