λ
Match Zalai

7,033,731

3 × 151 × 15527
Deficient Odd Composite

7,033,731 factors as 3 × 151 × 15527. Its 8 positive divisors give a proper-divisor sum of 2,407,293, so this integer is deficient. The Collatz stopping time is 129 steps.

Prime Factor Structure

Factorization String 3 × 151 × 15527
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 9,441,024
Proper Divisor Sum 2,407,293
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #7033729 ← → #7033751

Radix Representation

Decimal 7033731
Binary 11010110101001110000011 (23 bits)
Octal 0o32651603
Hexadecimal 0x6B5383

Divisor Catalog (8)

1 3 151 453 15,527 46,581 2,344,577 7,033,731

Collatz Trajectory (129 steps to reach 1)

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

7,033,731 21,101,194 10,550,597 31,651,792 15,825,896 7,912,948 3,956,474 1,978,237 5,934,712 2,967,356 1,483,678 741,839 2,225,518 1,112,759 3,338,278 1,669,139 5,007,418 2,503,709 7,511,128 3,755,564 1,877,782 938,891 2,816,674 1,408,337 4,225,012 2,112,506 1,056,253 3,168,760 1,584,380 792,190 396,095 1,188,286 594,143 1,782,430 891,215 2,673,646 1,336,823 4,010,470 2,005,235 6,015,706 3,007,853 9,023,560 4,511,780 2,255,890 1,127,945 3,383,836 1,691,918 845,959 2,537,878 1,268,939 3,806,818 1,903,409 5,710,228 2,855,114 1,427,557 4,282,672 2,141,336 1,070,668 535,334 267,667

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