4,053,520

2⁴ × 5 × 23 × 2203

Starting at 4,053,520, the Collatz iteration reaches 1 after 110 steps. The first transition is 2026760; the starting value is even with 40 positive divisors.

Prime Factor Structure

Factorization String 2^4 × 5 × 23 × 2203

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 40

Divisor Sum (σ) 9,838,656

Proper Divisor Sum 5,785,136

Digit Sum / Digital Root 19 (Root: 1)

Adjacent Primes #4053503 ← → #4053523

Radix Representation

Decimal	4053520
Binary	1111011101101000010000 (22 bits)
Octal	0o17355020
Hexadecimal	0x3DDA10

Divisor Catalog (40)

1 2 4 5 8 10 16 20 23 40 46 80 92 115 184 230 368 460 920 1,840 2,203 4,406 8,812 11,015 17,624 22,030 35,248 44,060 50,669 88,120 101,338 176,240 202,676 253,345 405,352 506,690 810,704 1,013,380 2,026,760 4,053,520

Collatz Trajectory (110 steps to reach 1)

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

4,053,520 2,026,760 1,013,380 506,690 253,345 760,036 380,018 190,009 570,028 285,014 142,507 427,522 213,761 641,284 320,642 160,321 480,964 240,482 120,241 360,724 180,362 90,181 270,544 135,272 67,636 33,818 16,909 50,728 25,364 12,682 6,341 19,024 9,512 4,756 2,378 1,189 3,568 1,784 892 446 223 670 335 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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