λ
Harmonic Matrix

4,244,745

3 × 5 × 43 × 6581
Deficient Odd Composite

4,244,745 has digital root 3. The neighboring primes are 4244743 and 4244753; its proper-divisor sum differs from the starting integer by -1,538,898.

Prime Factor Structure

Factorization String 3 × 5 × 43 × 6581
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 6,950,592
Proper Divisor Sum 2,705,847
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #4244743 ← → #4244753

Radix Representation

Decimal 4244745
Binary 10000001100010100001001 (23 bits)
Octal 0o20142411
Hexadecimal 0x40C509

Divisor Catalog (16)

1 3 5 15 43 129 215 645 6,581 19,743 32,905 98,715 282,983 848,949 1,414,915 4,244,745

Collatz Trajectory (273 steps to reach 1)

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

4,244,745 12,734,236 6,367,118 3,183,559 9,550,678 4,775,339 14,326,018 7,163,009 21,489,028 10,744,514 5,372,257 16,116,772 8,058,386 4,029,193 12,087,580 6,043,790 3,021,895 9,065,686 4,532,843 13,598,530 6,799,265 20,397,796 10,198,898 5,099,449 15,298,348 7,649,174 3,824,587 11,473,762 5,736,881 17,210,644 8,605,322 4,302,661 12,907,984 6,453,992 3,226,996 1,613,498 806,749 2,420,248 1,210,124 605,062 302,531 907,594 453,797 1,361,392 680,696 340,348 170,174 85,087 255,262 127,631 382,894 191,447 574,342 287,171 861,514 430,757 1,292,272 646,136 323,068 161,534

More profiles

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