λ
Sigma Notebook

697,335

3 × 5 × 46489
Deficient Odd Composite

697,335 is odd and not a perfect square. Its factorization is 3 × 5 × 46489 and its 8 divisors sum to 1,115,760.

Prime Factor Structure

Factorization String 3 × 5 × 46489
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 1,115,760
Proper Divisor Sum 418,425
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #697327 ← → #697351

Radix Representation

Decimal 697335
Binary 10101010001111110111 (20 bits)
Octal 0o2521767
Hexadecimal 0xAA3F7

Divisor Catalog (8)

1 3 5 15 46,489 139,467 232,445 697,335

Collatz Trajectory (136 steps to reach 1)

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

697,335 2,092,006 1,046,003 3,138,010 1,569,005 4,707,016 2,353,508 1,176,754 588,377 1,765,132 882,566 441,283 1,323,850 661,925 1,985,776 992,888 496,444 248,222 124,111 372,334 186,167 558,502 279,251 837,754 418,877 1,256,632 628,316 314,158 157,079 471,238 235,619 706,858 353,429 1,060,288 530,144 265,072 132,536 66,268 33,134 16,567 49,702 24,851 74,554 37,277 111,832 55,916 27,958 13,979 41,938 20,969 62,908 31,454 15,727 47,182 23,591 70,774 35,387 106,162 53,081 159,244

More profiles

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