λ
Harmonic Matrix

5,833,077

3 × 263 × 7393
Deficient Odd Composite

5,833,077 has digital root 6. The neighboring primes are 5833067 and 5833097; its proper-divisor sum differs from the starting integer by -3,858,090.

Prime Factor Structure

Factorization String 3 × 263 × 7393
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 7,808,064
Proper Divisor Sum 1,974,987
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #5833067 ← → #5833097

Radix Representation

Decimal 5833077
Binary 10110010000000101110101 (23 bits)
Octal 0o26200565
Hexadecimal 0x590175

Divisor Catalog (8)

1 3 263 789 7,393 22,179 1,944,359 5,833,077

Collatz Trajectory (90 steps to reach 1)

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

5,833,077 17,499,232 8,749,616 4,374,808 2,187,404 1,093,702 546,851 1,640,554 820,277 2,460,832 1,230,416 615,208 307,604 153,802 76,901 230,704 115,352 57,676 28,838 14,419 43,258 21,629 64,888 32,444 16,222 8,111 24,334 12,167 36,502 18,251 54,754 27,377 82,132 41,066 20,533 61,600 30,800 15,400 7,700 3,850 1,925 5,776 2,888 1,444 722 361 1,084 542 271 814 407 1,222 611 1,834 917 2,752 1,376 688 344 172

More profiles

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