5,785,137

3² × 443 × 1451

Starting at 5,785,137, the Collatz iteration reaches 1 after 232 steps. The first transition is 17355412; the starting value is odd with 12 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 443 × 1451

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 8,380,944

Proper Divisor Sum 2,595,807

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #5785103 ← → #5785147

Radix Representation

Decimal	5785137
Binary	10110000100011000110001 (23 bits)
Octal	0o26043061
Hexadecimal	0x584631

Divisor Catalog (12)

1 3 9 443 1,329 1,451 3,987 4,353 13,059 642,793 1,928,379 5,785,137

Collatz Trajectory (232 steps to reach 1)

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

5,785,137 17,355,412 8,677,706 4,338,853 13,016,560 6,508,280 3,254,140 1,627,070 813,535 2,440,606 1,220,303 3,660,910 1,830,455 5,491,366 2,745,683 8,237,050 4,118,525 12,355,576 6,177,788 3,088,894 1,544,447 4,633,342 2,316,671 6,950,014 3,475,007 10,425,022 5,212,511 15,637,534 7,818,767 23,456,302 11,728,151 35,184,454 17,592,227 52,776,682 26,388,341 79,165,024 39,582,512 19,791,256 9,895,628 4,947,814 2,473,907 7,421,722 3,710,861 11,132,584 5,566,292 2,783,146 1,391,573 4,174,720 2,087,360 1,043,680 521,840 260,920 130,460 65,230 32,615 97,846 48,923 146,770 73,385 220,156

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