λ
Prime Ledger

2,706,743

13 × 59 × 3529
Deficient Odd Composite

2,706,743 has the prime decomposition 13 × 59 × 3529. Its 3 distinct prime factors produce 8 positive divisors.

Prime Factor Structure

Factorization String 13 × 59 × 3529
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 2,965,200
Proper Divisor Sum 258,457
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #2706731 ← → #2706787

Radix Representation

Decimal 2706743
Binary 1010010100110100110111 (22 bits)
Octal 0o12246467
Hexadecimal 0x294D37

Divisor Catalog (8)

1 13 59 767 3,529 45,877 208,211 2,706,743

Collatz Trajectory (231 steps to reach 1)

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

2,706,743 8,120,230 4,060,115 12,180,346 6,090,173 18,270,520 9,135,260 4,567,630 2,283,815 6,851,446 3,425,723 10,277,170 5,138,585 15,415,756 7,707,878 3,853,939 11,561,818 5,780,909 17,342,728 8,671,364 4,335,682 2,167,841 6,503,524 3,251,762 1,625,881 4,877,644 2,438,822 1,219,411 3,658,234 1,829,117 5,487,352 2,743,676 1,371,838 685,919 2,057,758 1,028,879 3,086,638 1,543,319 4,629,958 2,314,979 6,944,938 3,472,469 10,417,408 5,208,704 2,604,352 1,302,176 651,088 325,544 162,772 81,386 40,693 122,080 61,040 30,520 15,260 7,630 3,815 11,446 5,723 17,170

More profiles

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