λ
Sigma Notebook

6,735,088

24 × 509 × 827
Deficient Even Composite

6,735,088 is even and not a perfect square. Its factorization is 2^4 × 509 × 827 and its 20 divisors sum to 13,090,680.

Prime Factor Structure

Factorization String 2^4 × 509 × 827
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 20
Divisor Sum (σ) 13,090,680
Proper Divisor Sum 6,355,592
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #6735049 ← → #6735089

Radix Representation

Decimal 6735088
Binary 11001101100010011110000 (23 bits)
Octal 0o31542360
Hexadecimal 0x66C4F0

Divisor Catalog (20)

1 2 4 8 16 509 827 1,018 1,654 2,036 3,308 4,072 6,616 8,144 13,232 420,943 841,886 1,683,772 3,367,544 6,735,088

Collatz Trajectory (85 steps to reach 1)

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

6,735,088 3,367,544 1,683,772 841,886 420,943 1,262,830 631,415 1,894,246 947,123 2,841,370 1,420,685 4,262,056 2,131,028 1,065,514 532,757 1,598,272 799,136 399,568 199,784 99,892 49,946 24,973 74,920 37,460 18,730 9,365 28,096 14,048 7,024 3,512 1,756 878 439 1,318 659 1,978 989 2,968 1,484 742 371 1,114 557 1,672 836 418 209 628 314 157 472 236 118 59 178 89 268 134 67 202

More profiles

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