λ
Math Directory

3,742,049

3742049
Deficient Odd Prime

3,742,049 factors as 3742049. Its 2 positive divisors give a proper-divisor sum of 1, so this integer is deficient. The Collatz stopping time is 159 steps.

Prime Factor Structure

Factorization String 3742049
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 3,742,050
Proper Divisor Sum 1
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #3742043 ← → #3742051

Radix Representation

Decimal 3742049
Binary 1110010001100101100001 (22 bits)
Octal 0o16214541
Hexadecimal 0x391961

Divisor Catalog (2)

1 3,742,049

Collatz Trajectory (159 steps to reach 1)

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

3,742,049 11,226,148 5,613,074 2,806,537 8,419,612 4,209,806 2,104,903 6,314,710 3,157,355 9,472,066 4,736,033 14,208,100 7,104,050 3,552,025 10,656,076 5,328,038 2,664,019 7,992,058 3,996,029 11,988,088 5,994,044 2,997,022 1,498,511 4,495,534 2,247,767 6,743,302 3,371,651 10,114,954 5,057,477 15,172,432 7,586,216 3,793,108 1,896,554 948,277 2,844,832 1,422,416 711,208 355,604 177,802 88,901 266,704 133,352 66,676 33,338 16,669 50,008 25,004 12,502 6,251 18,754 9,377 28,132 14,066 7,033 21,100 10,550 5,275 15,826 7,913 23,740

More profiles

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