λ
Match Zalai

3,126,739

72 × 11 × 5801
Deficient Odd Composite

3,126,739 factors as 7^2 × 11 × 5801. Its 12 positive divisors give a proper-divisor sum of 841,829, so this integer is deficient. The Collatz stopping time is 102 steps.

Prime Factor Structure

Factorization String 7^2 × 11 × 5801
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 3,968,568
Proper Divisor Sum 841,829
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #3126737 ← → #3126743

Radix Representation

Decimal 3126739
Binary 1011111011010111010011 (22 bits)
Octal 0o13732723
Hexadecimal 0x2FB5D3

Divisor Catalog (12)

1 7 11 49 77 539 5,801 40,607 63,811 284,249 446,677 3,126,739

Collatz Trajectory (102 steps to reach 1)

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

3,126,739 9,380,218 4,690,109 14,070,328 7,035,164 3,517,582 1,758,791 5,276,374 2,638,187 7,914,562 3,957,281 11,871,844 5,935,922 2,967,961 8,903,884 4,451,942 2,225,971 6,677,914 3,338,957 10,016,872 5,008,436 2,504,218 1,252,109 3,756,328 1,878,164 939,082 469,541 1,408,624 704,312 352,156 176,078 88,039 264,118 132,059 396,178 198,089 594,268 297,134 148,567 445,702 222,851 668,554 334,277 1,002,832 501,416 250,708 125,354 62,677 188,032 94,016 47,008 23,504 11,752 5,876 2,938 1,469 4,408 2,204 1,102 551

More profiles

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