λ
Sigma Notebook

6,657,115

5 × 173 × 271
Deficient Odd Composite

6,657,115 is odd and not a perfect square. Its factorization is 5 × 17^3 × 271 and its 16 divisors sum to 8,519,040.

Prime Factor Structure

Factorization String 5 × 17^3 × 271
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 8,519,040
Proper Divisor Sum 1,861,925
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #6657109 ← → #6657179

Radix Representation

Decimal 6657115
Binary 11001011001010001011011 (23 bits)
Octal 0o31312133
Hexadecimal 0x65945B

Divisor Catalog (16)

1 5 17 85 271 289 1,355 1,445 4,607 4,913 23,035 24,565 78,319 391,595 1,331,423 6,657,115

Collatz Trajectory (284 steps to reach 1)

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

6,657,115 19,971,346 9,985,673 29,957,020 14,978,510 7,489,255 22,467,766 11,233,883 33,701,650 16,850,825 50,552,476 25,276,238 12,638,119 37,914,358 18,957,179 56,871,538 28,435,769 85,307,308 42,653,654 21,326,827 63,980,482 31,990,241 95,970,724 47,985,362 23,992,681 71,978,044 35,989,022 17,994,511 53,983,534 26,991,767 80,975,302 40,487,651 121,462,954 60,731,477 182,194,432 91,097,216 45,548,608 22,774,304 11,387,152 5,693,576 2,846,788 1,423,394 711,697 2,135,092 1,067,546 533,773 1,601,320 800,660 400,330 200,165 600,496 300,248 150,124 75,062 37,531 112,594 56,297 168,892 84,446 42,223

More profiles

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