λ
Prime Ledger

5,729,391

32 × 17 × 37447
Deficient Odd Composite

5,729,391 has the prime decomposition 3^2 × 17 × 37447. Its 3 distinct prime factors produce 12 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 17 × 37447
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 8,762,832
Proper Divisor Sum 3,033,441
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #5729377 ← → #5729417

Radix Representation

Decimal 5729391
Binary 10101110110110001101111 (23 bits)
Octal 0o25666157
Hexadecimal 0x576C6F

Divisor Catalog (12)

1 3 9 17 51 153 37,447 112,341 337,023 636,599 1,909,797 5,729,391

Collatz Trajectory (152 steps to reach 1)

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

5,729,391 17,188,174 8,594,087 25,782,262 12,891,131 38,673,394 19,336,697 58,010,092 29,005,046 14,502,523 43,507,570 21,753,785 65,261,356 32,630,678 16,315,339 48,946,018 24,473,009 73,419,028 36,709,514 18,354,757 55,064,272 27,532,136 13,766,068 6,883,034 3,441,517 10,324,552 5,162,276 2,581,138 1,290,569 3,871,708 1,935,854 967,927 2,903,782 1,451,891 4,355,674 2,177,837 6,533,512 3,266,756 1,633,378 816,689 2,450,068 1,225,034 612,517 1,837,552 918,776 459,388 229,694 114,847 344,542 172,271 516,814 258,407 775,222 387,611 1,162,834 581,417 1,744,252 872,126 436,063 1,308,190

More profiles

← Previous Integer #5,729,390 Browse Full Index Next Integer #5,729,392 →