λ
Harmonic Matrix

5,784,695

5 × 73 × 3373
Deficient Odd Composite

5,784,695 has digital root 8. The neighboring primes are 5784673 and 5784719; its proper-divisor sum differs from the starting integer by -3,471,790.

Prime Factor Structure

Factorization String 5 × 7^3 × 3373
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 8,097,600
Proper Divisor Sum 2,312,905
Digit Sum / Digital Root 44 (Root: 8)
Adjacent Primes #5784673 ← → #5784719

Radix Representation

Decimal 5784695
Binary 10110000100010001110111 (23 bits)
Octal 0o26042167
Hexadecimal 0x584477

Divisor Catalog (16)

1 5 7 35 49 245 343 1,715 3,373 16,865 23,611 118,055 165,277 826,385 1,156,939 5,784,695

Collatz Trajectory (77 steps to reach 1)

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

5,784,695 17,354,086 8,677,043 26,031,130 13,015,565 39,046,696 19,523,348 9,761,674 4,880,837 14,642,512 7,321,256 3,660,628 1,830,314 915,157 2,745,472 1,372,736 686,368 343,184 171,592 85,796 42,898 21,449 64,348 32,174 16,087 48,262 24,131 72,394 36,197 108,592 54,296 27,148 13,574 6,787 20,362 10,181 30,544 15,272 7,636 3,818 1,909 5,728 2,864 1,432 716 358 179 538 269 808 404 202 101 304 152 76 38 19 58 29

More profiles

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