λ
Sigma Notebook

697,529

7 × 251 × 397
Deficient Odd Composite

697,529 is odd and not a perfect square. Its factorization is 7 × 251 × 397 and its 8 divisors sum to 802,368.

Prime Factor Structure

Factorization String 7 × 251 × 397
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 802,368
Proper Divisor Sum 104,839
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #697523 ← → #697553

Radix Representation

Decimal 697529
Binary 10101010010010111001 (20 bits)
Octal 0o2522271
Hexadecimal 0xAA4B9

Divisor Catalog (8)

1 7 251 397 1,757 2,779 99,647 697,529

Collatz Trajectory (141 steps to reach 1)

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

697,529 2,092,588 1,046,294 523,147 1,569,442 784,721 2,354,164 1,177,082 588,541 1,765,624 882,812 441,406 220,703 662,110 331,055 993,166 496,583 1,489,750 744,875 2,234,626 1,117,313 3,351,940 1,675,970 837,985 2,513,956 1,256,978 628,489 1,885,468 942,734 471,367 1,414,102 707,051 2,121,154 1,060,577 3,181,732 1,590,866 795,433 2,386,300 1,193,150 596,575 1,789,726 894,863 2,684,590 1,342,295 4,026,886 2,013,443 6,040,330 3,020,165 9,060,496 4,530,248 2,265,124 1,132,562 566,281 1,698,844 849,422 424,711 1,274,134 637,067 1,911,202 955,601

More profiles

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