λ
Harmonic Matrix

4,449,765

3 × 5 × 296651
Deficient Odd Composite

4,449,765 has digital root 3. The neighboring primes are 4449763 and 4449773; its proper-divisor sum differs from the starting integer by -1,779,882.

Prime Factor Structure

Factorization String 3 × 5 × 296651
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 7,119,648
Proper Divisor Sum 2,669,883
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #4449763 ← → #4449773

Radix Representation

Decimal 4449765
Binary 10000111110010111100101 (23 bits)
Octal 0o20762745
Hexadecimal 0x43E5E5

Divisor Catalog (8)

1 3 5 15 296,651 889,953 1,483,255 4,449,765

Collatz Trajectory (167 steps to reach 1)

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

4,449,765 13,349,296 6,674,648 3,337,324 1,668,662 834,331 2,502,994 1,251,497 3,754,492 1,877,246 938,623 2,815,870 1,407,935 4,223,806 2,111,903 6,335,710 3,167,855 9,503,566 4,751,783 14,255,350 7,127,675 21,383,026 10,691,513 32,074,540 16,037,270 8,018,635 24,055,906 12,027,953 36,083,860 18,041,930 9,020,965 27,062,896 13,531,448 6,765,724 3,382,862 1,691,431 5,074,294 2,537,147 7,611,442 3,805,721 11,417,164 5,708,582 2,854,291 8,562,874 4,281,437 12,844,312 6,422,156 3,211,078 1,605,539 4,816,618 2,408,309 7,224,928 3,612,464 1,806,232 903,116 451,558 225,779 677,338 338,669 1,016,008

More profiles

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