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Atlas › Integer Profiles › Node 8,061,200

8,061,200

24 × 52 × 7 × 2879
Abundant Even Composite

8,061,200 factors as 2^4 × 5^2 × 7 × 2879. Its 60 positive divisors give a proper-divisor sum of 14,080,240, so this integer is abundant. The Collatz stopping time is 93 steps.

Prime Factor Structure

Factorization String 2^4 × 5^2 × 7 × 2879
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 60
Divisor Sum (σ) 22,141,440
Proper Divisor Sum 14,080,240
Digit Sum / Digital Root 17 (Root: 8)
Adjacent Primes #8061191 ← → #8061223

Radix Representation

Decimal 8061200
Binary 11110110000000100010000 (23 bits)
Octal 0o36600420
Hexadecimal 0x7B0110

Divisor Catalog (60)

1 2 4 5 7 8 10 14 16 20 25 28 35 40 50 56 70 80 100 112 140 175 200 280 350 400 560 700 1,400 2,800 2,879 5,758 11,516 14,395 20,153 23,032 28,790 40,306 46,064 57,580 71,975 80,612 100,765 115,160 143,950 161,224 201,530 230,320 287,900 322,448 403,060 503,825 575,800 806,120 1,007,650 1,151,600 1,612,240 2,015,300 4,030,600 8,061,200

Collatz Trajectory (93 steps to reach 1)

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

8,061,200 4,030,600 2,015,300 1,007,650 503,825 1,511,476 755,738 377,869 1,133,608 566,804 283,402 141,701 425,104 212,552 106,276 53,138 26,569 79,708 39,854 19,927 59,782 29,891 89,674 44,837 134,512 67,256 33,628 16,814 8,407 25,222 12,611 37,834 18,917 56,752 28,376 14,188 7,094 3,547 10,642 5,321 15,964 7,982 3,991 11,974 5,987 17,962 8,981 26,944 13,472 6,736 3,368 1,684 842 421 1,264 632 316 158 79 238

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