λ
Harmonic Matrix

5,779,784

23 × 661 × 1093
Deficient Even Composite

5,779,784 has digital root 2. The neighboring primes are 5779769 and 5779793; its proper-divisor sum differs from the starting integer by -696,148.

Prime Factor Structure

Factorization String 2^3 × 661 × 1093
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 10,863,420
Proper Divisor Sum 5,083,636
Digit Sum / Digital Root 47 (Root: 2)
Adjacent Primes #5779769 ← → #5779793

Radix Representation

Decimal 5779784
Binary 10110000011000101001000 (23 bits)
Octal 0o26030510
Hexadecimal 0x583148

Divisor Catalog (16)

1 2 4 8 661 1,093 1,322 2,186 2,644 4,372 5,288 8,744 722,473 1,444,946 2,889,892 5,779,784

Collatz Trajectory (95 steps to reach 1)

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

5,779,784 2,889,892 1,444,946 722,473 2,167,420 1,083,710 541,855 1,625,566 812,783 2,438,350 1,219,175 3,657,526 1,828,763 5,486,290 2,743,145 8,229,436 4,114,718 2,057,359 6,172,078 3,086,039 9,258,118 4,629,059 13,887,178 6,943,589 20,830,768 10,415,384 5,207,692 2,603,846 1,301,923 3,905,770 1,952,885 5,858,656 2,929,328 1,464,664 732,332 366,166 183,083 549,250 274,625 823,876 411,938 205,969 617,908 308,954 154,477 463,432 231,716 115,858 57,929 173,788 86,894 43,447 130,342 65,171 195,514 97,757 293,272 146,636 73,318 36,659

More profiles

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