5,220,480

2⁷ × 3 × 5 × 2719

Starting at 5,220,480, the Collatz iteration reaches 1 after 188 steps. The first transition is 2610240; the starting value is even with 64 positive divisors.

Prime Factor Structure

Factorization String 2^7 × 3 × 5 × 2719

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 64

Divisor Sum (σ) 16,646,400

Proper Divisor Sum 11,425,920

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #5220469 ← → #5220491

Radix Representation

Decimal	5220480
Binary	10011111010100010000000 (23 bits)
Octal	0o23724200
Hexadecimal	0x4FA880

Divisor Catalog (60 of 64)

1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 320 384 480 640 960 1,920 2,719 5,438 8,157 10,876 13,595 16,314 21,752 27,190 32,628 40,785 43,504 54,380 65,256 81,570 87,008 108,760 130,512 163,140 174,016 217,520 261,024 326,280 348,032 435,040 522,048 652,560 870,080 1,044,096

Collatz Trajectory (188 steps to reach 1)

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

5,220,480 2,610,240 1,305,120 652,560 326,280 163,140 81,570 40,785 122,356 61,178 30,589 91,768 45,884 22,942 11,471 34,414 17,207 51,622 25,811 77,434 38,717 116,152 58,076 29,038 14,519 43,558 21,779 65,338 32,669 98,008 49,004 24,502 12,251 36,754 18,377 55,132 27,566 13,783 41,350 20,675 62,026 31,013 93,040 46,520 23,260 11,630 5,815 17,446 8,723 26,170 13,085 39,256 19,628 9,814 4,907 14,722 7,361 22,084 11,042 5,521

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