λ
Prime Ledger

731,986

2 × 17 × 21529
Deficient Even Composite

731,986 has the prime decomposition 2 × 17 × 21529. Its 3 distinct prime factors produce 8 positive divisors.

Prime Factor Structure

Factorization String 2 × 17 × 21529
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 1,162,620
Proper Divisor Sum 430,634
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #731981 ← → #731999

Radix Representation

Decimal 731986
Binary 10110010101101010010 (20 bits)
Octal 0o2625522
Hexadecimal 0xB2B52

Divisor Catalog (8)

1 2 17 34 21,529 43,058 365,993 731,986

Collatz Trajectory (180 steps to reach 1)

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

731,986 365,993 1,097,980 548,990 274,495 823,486 411,743 1,235,230 617,615 1,852,846 926,423 2,779,270 1,389,635 4,168,906 2,084,453 6,253,360 3,126,680 1,563,340 781,670 390,835 1,172,506 586,253 1,758,760 879,380 439,690 219,845 659,536 329,768 164,884 82,442 41,221 123,664 61,832 30,916 15,458 7,729 23,188 11,594 5,797 17,392 8,696 4,348 2,174 1,087 3,262 1,631 4,894 2,447 7,342 3,671 11,014 5,507 16,522 8,261 24,784 12,392 6,196 3,098 1,549 4,648

More profiles

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