5,800,464

2⁴ × 3³ × 29 × 463

Starting at 5,800,464, the Collatz iteration reaches 1 after 95 steps. The first transition is 2900232; the starting value is even with 80 positive divisors.

Prime Factor Structure

Factorization String 2^4 × 3^3 × 29 × 463

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 80

Divisor Sum (σ) 17,260,800

Proper Divisor Sum 11,460,336

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #5800433 ← → #5800477

Radix Representation

Decimal	5800464
Binary	10110001000001000010000 (23 bits)
Octal	0o26101020
Hexadecimal	0x588210

Divisor Catalog (60 of 80)

1 2 3 4 6 8 9 12 16 18 24 27 29 36 48 54 58 72 87 108 116 144 174 216 232 261 348 432 463 464 522 696 783 926 1,044 1,389 1,392 1,566 1,852 2,088 2,778 3,132 3,704 4,167 4,176 5,556 6,264 7,408 8,334 11,112 12,501 12,528 13,427 16,668 22,224 25,002 26,854 33,336 40,281 50,004

Collatz Trajectory (95 steps to reach 1)

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

5,800,464 2,900,232 1,450,116 725,058 362,529 1,087,588 543,794 271,897 815,692 407,846 203,923 611,770 305,885 917,656 458,828 229,414 114,707 344,122 172,061 516,184 258,092 129,046 64,523 193,570 96,785 290,356 145,178 72,589 217,768 108,884 54,442 27,221 81,664 40,832 20,416 10,208 5,104 2,552 1,276 638 319 958 479 1,438 719 2,158 1,079 3,238 1,619 4,858 2,429 7,288 3,644 1,822 911 2,734 1,367 4,102 2,051 6,154

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