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Atlas › Integer Profiles › Node 7,136,160

7,136,160

25 × 3 × 5 × 14867
Abundant Even Composite

7,136,160 factors as 2^5 × 3 × 5 × 14867. Its 48 positive divisors give a proper-divisor sum of 15,344,256, so this integer is abundant. The Collatz stopping time is 142 steps.

Prime Factor Structure

Factorization String 2^5 × 3 × 5 × 14867
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 22,480,416
Proper Divisor Sum 15,344,256
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #7136131 ← → #7136161

Radix Representation

Decimal 7136160
Binary 11011001110001110100000 (23 bits)
Octal 0o33161640
Hexadecimal 0x6CE3A0

Divisor Catalog (48)

1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 14,867 29,734 44,601 59,468 74,335 89,202 118,936 148,670 178,404 223,005 237,872 297,340 356,808 446,010 475,744 594,680 713,616 892,020 1,189,360 1,427,232 1,784,040 2,378,720 3,568,080 7,136,160

Collatz Trajectory (142 steps to reach 1)

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

7,136,160 3,568,080 1,784,040 892,020 446,010 223,005 669,016 334,508 167,254 83,627 250,882 125,441 376,324 188,162 94,081 282,244 141,122 70,561 211,684 105,842 52,921 158,764 79,382 39,691 119,074 59,537 178,612 89,306 44,653 133,960 66,980 33,490 16,745 50,236 25,118 12,559 37,678 18,839 56,518 28,259 84,778 42,389 127,168 63,584 31,792 15,896 7,948 3,974 1,987 5,962 2,981 8,944 4,472 2,236 1,118 559 1,678 839 2,518 1,259

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