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Atlas › Integer Profiles › Node 16,095,984

16,095,984

24 × 3 × 71 × 4723
Abundant Even Composite

16,095,984 factors as 2^4 × 3 × 71 × 4723. Its 40 positive divisors give a proper-divisor sum of 26,079,888, so this integer is abundant. The Collatz stopping time is 156 steps.

Prime Factor Structure

Factorization String 2^4 × 3 × 71 × 4723
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 42,175,872
Proper Divisor Sum 26,079,888
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #16095979 ← → #16096001

Radix Representation

Decimal 16095984
Binary 111101011001101011110000 (24 bits)
Octal 0o75315360
Hexadecimal 0xF59AF0

Divisor Catalog (40)

1 2 3 4 6 8 12 16 24 48 71 142 213 284 426 568 852 1,136 1,704 3,408 4,723 9,446 14,169 18,892 28,338 37,784 56,676 75,568 113,352 226,704 335,333 670,666 1,005,999 1,341,332 2,011,998 2,682,664 4,023,996 5,365,328 8,047,992 16,095,984

Collatz Trajectory (156 steps to reach 1)

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

16,095,984 8,047,992 4,023,996 2,011,998 1,005,999 3,017,998 1,508,999 4,526,998 2,263,499 6,790,498 3,395,249 10,185,748 5,092,874 2,546,437 7,639,312 3,819,656 1,909,828 954,914 477,457 1,432,372 716,186 358,093 1,074,280 537,140 268,570 134,285 402,856 201,428 100,714 50,357 151,072 75,536 37,768 18,884 9,442 4,721 14,164 7,082 3,541 10,624 5,312 2,656 1,328 664 332 166 83 250 125 376 188 94 47 142 71 214 107 322 161 484

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