λ
Harmonic Matrix

5,749,609

19 × 23 × 59 × 223
Deficient Odd Composite

5,749,609 has digital root 4. The neighboring primes are 5749607 and 5749619; its proper-divisor sum differs from the starting integer by -5,048,018.

Prime Factor Structure

Factorization String 19 × 23 × 59 × 223
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 6,451,200
Proper Divisor Sum 701,591
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #5749607 ← → #5749619

Radix Representation

Decimal 5749609
Binary 10101111011101101101001 (23 bits)
Octal 0o25735551
Hexadecimal 0x57BB69

Divisor Catalog (16)

1 19 23 59 223 437 1,121 1,357 4,237 5,129 13,157 25,783 97,451 249,983 302,611 5,749,609

Collatz Trajectory (214 steps to reach 1)

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

5,749,609 17,248,828 8,624,414 4,312,207 12,936,622 6,468,311 19,404,934 9,702,467 29,107,402 14,553,701 43,661,104 21,830,552 10,915,276 5,457,638 2,728,819 8,186,458 4,093,229 12,279,688 6,139,844 3,069,922 1,534,961 4,604,884 2,302,442 1,151,221 3,453,664 1,726,832 863,416 431,708 215,854 107,927 323,782 161,891 485,674 242,837 728,512 364,256 182,128 91,064 45,532 22,766 11,383 34,150 17,075 51,226 25,613 76,840 38,420 19,210 9,605 28,816 14,408 7,204 3,602 1,801 5,404 2,702 1,351 4,054 2,027 6,082

More profiles

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