7,206,320

2⁴ × 5 × 11 × 19 × 431

7,206,320 factors as 2^4 × 5 × 11 × 19 × 431. Its 80 positive divisors give a proper-divisor sum of 12,078,160, so this integer is abundant. The Collatz stopping time is 235 steps.

Prime Factor Structure

Factorization String 2^4 × 5 × 11 × 19 × 431

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 80

Divisor Sum (σ) 19,284,480

Proper Divisor Sum 12,078,160

Digit Sum / Digital Root 20 (Root: 2)

Adjacent Primes #7206313 ← → #7206323

Radix Representation

Decimal	7206320
Binary	11011011111010110110000 (23 bits)
Octal	0o33372660
Hexadecimal	0x6DF5B0

Divisor Catalog (60 of 80)

1 2 4 5 8 10 11 16 19 20 22 38 40 44 55 76 80 88 95 110 152 176 190 209 220 304 380 418 431 440 760 836 862 880 1,045 1,520 1,672 1,724 2,090 2,155 3,344 3,448 4,180 4,310 4,741 6,896 8,189 8,360 8,620 9,482 16,378 16,720 17,240 18,964 23,705 32,756 34,480 37,928 40,945 47,410

Collatz Trajectory (235 steps to reach 1)

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

7,206,320 3,603,160 1,801,580 900,790 450,395 1,351,186 675,593 2,026,780 1,013,390 506,695 1,520,086 760,043 2,280,130 1,140,065 3,420,196 1,710,098 855,049 2,565,148 1,282,574 641,287 1,923,862 961,931 2,885,794 1,442,897 4,328,692 2,164,346 1,082,173 3,246,520 1,623,260 811,630 405,815 1,217,446 608,723 1,826,170 913,085 2,739,256 1,369,628 684,814 342,407 1,027,222 513,611 1,540,834 770,417 2,311,252 1,155,626 577,813 1,733,440 866,720 433,360 216,680 108,340 54,170 27,085 81,256 40,628 20,314 10,157 30,472 15,236 7,618

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