λ
Matchaa Zalai

2,734,735

5 × 546947
Deficient Odd Composite

2,734,735 factors as 5 × 546947. Its 4 positive divisors give a proper-divisor sum of 546,953, so this integer is deficient. The Collatz stopping time is 81 steps.

Prime Factor Structure

Factorization String 5 × 546947
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 3,281,688
Proper Divisor Sum 546,953
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #2734733 ← → #2734763

Radix Representation

Decimal 2734735
Binary 1010011011101010001111 (22 bits)
Octal 0o12335217
Hexadecimal 0x29BA8F

Divisor Catalog (4)

1 5 546,947 2,734,735

Collatz Trajectory (81 steps to reach 1)

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

2,734,735 8,204,206 4,102,103 12,306,310 6,153,155 18,459,466 9,229,733 27,689,200 13,844,600 6,922,300 3,461,150 1,730,575 5,191,726 2,595,863 7,787,590 3,893,795 11,681,386 5,840,693 17,522,080 8,761,040 4,380,520 2,190,260 1,095,130 547,565 1,642,696 821,348 410,674 205,337 616,012 308,006 154,003 462,010 231,005 693,016 346,508 173,254 86,627 259,882 129,941 389,824 194,912 97,456 48,728 24,364 12,182 6,091 18,274 9,137 27,412 13,706 6,853 20,560 10,280 5,140 2,570 1,285 3,856 1,928 964 482

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