λ
Harmonic Matrix

3,723,021

32 × 179 × 2311
Deficient Odd Composite

3,723,021 has digital root 9. The neighboring primes are 3723019 and 3723023; its proper-divisor sum differs from the starting integer by -2,035,962.

Prime Factor Structure

Factorization String 3^2 × 179 × 2311
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 5,410,080
Proper Divisor Sum 1,687,059
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #3723019 ← → #3723023

Radix Representation

Decimal 3723021
Binary 1110001100111100001101 (22 bits)
Octal 0o16147415
Hexadecimal 0x38CF0D

Divisor Catalog (12)

1 3 9 179 537 1,611 2,311 6,933 20,799 413,669 1,241,007 3,723,021

Collatz Trajectory (141 steps to reach 1)

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

3,723,021 11,169,064 5,584,532 2,792,266 1,396,133 4,188,400 2,094,200 1,047,100 523,550 261,775 785,326 392,663 1,177,990 588,995 1,766,986 883,493 2,650,480 1,325,240 662,620 331,310 165,655 496,966 248,483 745,450 372,725 1,118,176 559,088 279,544 139,772 69,886 34,943 104,830 52,415 157,246 78,623 235,870 117,935 353,806 176,903 530,710 265,355 796,066 398,033 1,194,100 597,050 298,525 895,576 447,788 223,894 111,947 335,842 167,921 503,764 251,882 125,941 377,824 188,912 94,456 47,228 23,614

More profiles

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