λ
Harmonic Matrix

4,469,765

5 × 127 × 7039
Deficient Odd Composite

4,469,765 has digital root 5. The neighboring primes are 4469753 and 4469767; its proper-divisor sum differs from the starting integer by -3,532,810.

Prime Factor Structure

Factorization String 5 × 127 × 7039
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 5,406,720
Proper Divisor Sum 936,955
Digit Sum / Digital Root 41 (Root: 5)
Adjacent Primes #4469753 ← → #4469767

Radix Representation

Decimal 4469765
Binary 10001000011010000000101 (23 bits)
Octal 0o21032005
Hexadecimal 0x443405

Divisor Catalog (8)

1 5 127 635 7,039 35,195 893,953 4,469,765

Collatz Trajectory (123 steps to reach 1)

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

4,469,765 13,409,296 6,704,648 3,352,324 1,676,162 838,081 2,514,244 1,257,122 628,561 1,885,684 942,842 471,421 1,414,264 707,132 353,566 176,783 530,350 265,175 795,526 397,763 1,193,290 596,645 1,789,936 894,968 447,484 223,742 111,871 335,614 167,807 503,422 251,711 755,134 377,567 1,132,702 566,351 1,699,054 849,527 2,548,582 1,274,291 3,822,874 1,911,437 5,734,312 2,867,156 1,433,578 716,789 2,150,368 1,075,184 537,592 268,796 134,398 67,199 201,598 100,799 302,398 151,199 453,598 226,799 680,398 340,199 1,020,598

More profiles

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