λ
Sigma Notebook

3,427,757

47 × 72931
Deficient Odd Composite

3,427,757 is odd and not a perfect square. Its factorization is 47 × 72931 and its 4 divisors sum to 3,500,736.

Prime Factor Structure

Factorization String 47 × 72931
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 3,500,736
Proper Divisor Sum 72,979
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #3427751 ← → #3427769

Radix Representation

Decimal 3427757
Binary 1101000100110110101101 (22 bits)
Octal 0o15046655
Hexadecimal 0x344DAD

Divisor Catalog (4)

1 47 72,931 3,427,757

Collatz Trajectory (76 steps to reach 1)

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

3,427,757 10,283,272 5,141,636 2,570,818 1,285,409 3,856,228 1,928,114 964,057 2,892,172 1,446,086 723,043 2,169,130 1,084,565 3,253,696 1,626,848 813,424 406,712 203,356 101,678 50,839 152,518 76,259 228,778 114,389 343,168 171,584 85,792 42,896 21,448 10,724 5,362 2,681 8,044 4,022 2,011 6,034 3,017 9,052 4,526 2,263 6,790 3,395 10,186 5,093 15,280 7,640 3,820 1,910 955 2,866 1,433 4,300 2,150 1,075 3,226 1,613 4,840 2,420 1,210 605

More profiles

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