3,742,244

2² × 11 × 17 × 5003

3,742,244 has digital root 8. The neighboring primes are 3742243 and 3742267; its proper-divisor sum differs from the starting integer by 81,560.

Prime Factor Structure

Factorization String 2^2 × 11 × 17 × 5003

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 7,566,048

Proper Divisor Sum 3,823,804

Digit Sum / Digital Root 26 (Root: 8)

Adjacent Primes #3742243 ← → #3742267

Radix Representation

Decimal	3742244
Binary	1110010001101000100100 (22 bits)
Octal	0o16215044
Hexadecimal	0x391A24

Divisor Catalog (24)

1 2 4 11 17 22 34 44 68 187 374 748 5,003 10,006 20,012 55,033 85,051 110,066 170,102 220,132 340,204 935,561 1,871,122 3,742,244

Collatz Trajectory (190 steps to reach 1)

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

3,742,244 1,871,122 935,561 2,806,684 1,403,342 701,671 2,105,014 1,052,507 3,157,522 1,578,761 4,736,284 2,368,142 1,184,071 3,552,214 1,776,107 5,328,322 2,664,161 7,992,484 3,996,242 1,998,121 5,994,364 2,997,182 1,498,591 4,495,774 2,247,887 6,743,662 3,371,831 10,115,494 5,057,747 15,173,242 7,586,621 22,759,864 11,379,932 5,689,966 2,844,983 8,534,950 4,267,475 12,802,426 6,401,213 19,203,640 9,601,820 4,800,910 2,400,455 7,201,366 3,600,683 10,802,050 5,401,025 16,203,076 8,101,538 4,050,769 12,152,308 6,076,154 3,038,077 9,114,232 4,557,116 2,278,558 1,139,279 3,417,838 1,708,919 5,126,758

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