λ
Harmonic Matrix

5,792,762

2 × 1117 × 2593
Deficient Even Composite

5,792,762 has digital root 2. The neighboring primes are 5792747 and 5792789; its proper-divisor sum differs from the starting integer by -2,885,248.

Prime Factor Structure

Factorization String 2 × 1117 × 2593
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 8,700,276
Proper Divisor Sum 2,907,514
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #5792747 ← → #5792789

Radix Representation

Decimal 5792762
Binary 10110000110001111111010 (23 bits)
Octal 0o26061772
Hexadecimal 0x5863FA

Divisor Catalog (8)

1 2 1,117 2,234 2,593 5,186 2,896,381 5,792,762

Collatz Trajectory (183 steps to reach 1)

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

5,792,762 2,896,381 8,689,144 4,344,572 2,172,286 1,086,143 3,258,430 1,629,215 4,887,646 2,443,823 7,331,470 3,665,735 10,997,206 5,498,603 16,495,810 8,247,905 24,743,716 12,371,858 6,185,929 18,557,788 9,278,894 4,639,447 13,918,342 6,959,171 20,877,514 10,438,757 31,316,272 15,658,136 7,829,068 3,914,534 1,957,267 5,871,802 2,935,901 8,807,704 4,403,852 2,201,926 1,100,963 3,302,890 1,651,445 4,954,336 2,477,168 1,238,584 619,292 309,646 154,823 464,470 232,235 696,706 348,353 1,045,060 522,530 261,265 783,796 391,898 195,949 587,848 293,924 146,962 73,481 220,444

More profiles

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