λ
Harmonic Matrix

5,477,105

5 × 23 × 97 × 491
Deficient Odd Composite

5,477,105 has digital root 2. The neighboring primes are 5477093 and 5477107; its proper-divisor sum differs from the starting integer by -4,011,106.

Prime Factor Structure

Factorization String 5 × 23 × 97 × 491
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 6,943,104
Proper Divisor Sum 1,465,999
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #5477093 ← → #5477107

Radix Representation

Decimal 5477105
Binary 10100111001001011110001 (23 bits)
Octal 0o24711361
Hexadecimal 0x5392F1

Divisor Catalog (16)

1 5 23 97 115 485 491 2,231 2,455 11,155 11,293 47,627 56,465 238,135 1,095,421 5,477,105

Collatz Trajectory (201 steps to reach 1)

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

5,477,105 16,431,316 8,215,658 4,107,829 12,323,488 6,161,744 3,080,872 1,540,436 770,218 385,109 1,155,328 577,664 288,832 144,416 72,208 36,104 18,052 9,026 4,513 13,540 6,770 3,385 10,156 5,078 2,539 7,618 3,809 11,428 5,714 2,857 8,572 4,286 2,143 6,430 3,215 9,646 4,823 14,470 7,235 21,706 10,853 32,560 16,280 8,140 4,070 2,035 6,106 3,053 9,160 4,580 2,290 1,145 3,436 1,718 859 2,578 1,289 3,868 1,934 967

More profiles

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