λ
Harmonic Matrix

5,730,699

3 × 13 × 146941
Deficient Odd Composite

5,730,699 has digital root 3. The neighboring primes are 5730667 and 5730701; its proper-divisor sum differs from the starting integer by -3,232,646.

Prime Factor Structure

Factorization String 3 × 13 × 146941
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 8,228,752
Proper Divisor Sum 2,498,053
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #5730667 ← → #5730701

Radix Representation

Decimal 5730699
Binary 10101110111000110001011 (23 bits)
Octal 0o25670613
Hexadecimal 0x57718B

Divisor Catalog (8)

1 3 13 39 146,941 440,823 1,910,233 5,730,699

Collatz Trajectory (77 steps to reach 1)

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

5,730,699 17,192,098 8,596,049 25,788,148 12,894,074 6,447,037 19,341,112 9,670,556 4,835,278 2,417,639 7,252,918 3,626,459 10,879,378 5,439,689 16,319,068 8,159,534 4,079,767 12,239,302 6,119,651 18,358,954 9,179,477 27,538,432 13,769,216 6,884,608 3,442,304 1,721,152 860,576 430,288 215,144 107,572 53,786 26,893 80,680 40,340 20,170 10,085 30,256 15,128 7,564 3,782 1,891 5,674 2,837 8,512 4,256 2,128 1,064 532 266 133 400 200 100 50 25 76 38 19 58 29

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