4,058,580

2² × 3 × 5 × 17 × 23 × 173

Starting at 4,058,580, the Collatz iteration reaches 1 after 110 steps. The first transition is 2029290; the starting value is even with 96 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3 × 5 × 17 × 23 × 173

Distinct Prime Factors 6

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 12,628,224

Proper Divisor Sum 8,569,644

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #4058569 ← → #4058599

Radix Representation

Decimal	4058580
Binary	1111011110110111010100 (22 bits)
Octal	0o17366724
Hexadecimal	0x3DEDD4

Divisor Catalog (60 of 96)

1 2 3 4 5 6 10 12 15 17 20 23 30 34 46 51 60 68 69 85 92 102 115 138 170 173 204 230 255 276 340 345 346 391 460 510 519 690 692 782 865 1,020 1,038 1,173 1,380 1,564 1,730 1,955 2,076 2,346 2,595 2,941 3,460 3,910 3,979 4,692 5,190 5,865 5,882 7,820

Collatz Trajectory (110 steps to reach 1)

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

4,058,580 2,029,290 1,014,645 3,043,936 1,521,968 760,984 380,492 190,246 95,123 285,370 142,685 428,056 214,028 107,014 53,507 160,522 80,261 240,784 120,392 60,196 30,098 15,049 45,148 22,574 11,287 33,862 16,931 50,794 25,397 76,192 38,096 19,048 9,524 4,762 2,381 7,144 3,572 1,786 893 2,680 1,340 670 335 1,006 503 1,510 755 2,266 1,133 3,400 1,700 850 425 1,276 638 319 958 479 1,438 719

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