7,201,760

2⁵ × 5 × 19 × 23 × 103

7,201,760 factors as 2^5 × 5 × 19 × 23 × 103. Its 96 positive divisors give a proper-divisor sum of 11,668,000, so this integer is abundant. The Collatz stopping time is 204 steps.

Prime Factor Structure

Factorization String 2^5 × 5 × 19 × 23 × 103

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 18,869,760

Proper Divisor Sum 11,668,000

Digit Sum / Digital Root 23 (Root: 5)

Adjacent Primes #7201759 ← → #7201793

Radix Representation

Decimal	7201760
Binary	11011011110001111100000 (23 bits)
Octal	0o33361740
Hexadecimal	0x6DE3E0

Divisor Catalog (60 of 96)

1 2 4 5 8 10 16 19 20 23 32 38 40 46 76 80 92 95 103 115 152 160 184 190 206 230 304 368 380 412 437 460 515 608 736 760 824 874 920 1,030 1,520 1,648 1,748 1,840 1,957 2,060 2,185 2,369 3,040 3,296 3,496 3,680 3,914 4,120 4,370 4,738 6,992 7,828 8,240 8,740

Collatz Trajectory (204 steps to reach 1)

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

7,201,760 3,600,880 1,800,440 900,220 450,110 225,055 675,166 337,583 1,012,750 506,375 1,519,126 759,563 2,278,690 1,139,345 3,418,036 1,709,018 854,509 2,563,528 1,281,764 640,882 320,441 961,324 480,662 240,331 720,994 360,497 1,081,492 540,746 270,373 811,120 405,560 202,780 101,390 50,695 152,086 76,043 228,130 114,065 342,196 171,098 85,549 256,648 128,324 64,162 32,081 96,244 48,122 24,061 72,184 36,092 18,046 9,023 27,070 13,535 40,606 20,303 60,910 30,455 91,366 45,683

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