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Atlas › Integer Profiles › Node 6,417,096

6,417,096

23 × 3 × 7 × 38197
Abundant Even Composite

6,417,096 factors as 2^3 × 3 × 7 × 38197. Its 32 positive divisors give a proper-divisor sum of 11,917,944, so this integer is abundant. The Collatz stopping time is 95 steps.

Prime Factor Structure

Factorization String 2^3 × 3 × 7 × 38197
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 18,335,040
Proper Divisor Sum 11,917,944
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #6417083 ← → #6417113

Radix Representation

Decimal 6417096
Binary 11000011110101011001000 (23 bits)
Octal 0o30365310
Hexadecimal 0x61EAC8

Divisor Catalog (32)

1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 38,197 76,394 114,591 152,788 229,182 267,379 305,576 458,364 534,758 802,137 916,728 1,069,516 1,604,274 2,139,032 3,208,548 6,417,096

Collatz Trajectory (95 steps to reach 1)

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

6,417,096 3,208,548 1,604,274 802,137 2,406,412 1,203,206 601,603 1,804,810 902,405 2,707,216 1,353,608 676,804 338,402 169,201 507,604 253,802 126,901 380,704 190,352 95,176 47,588 23,794 11,897 35,692 17,846 8,923 26,770 13,385 40,156 20,078 10,039 30,118 15,059 45,178 22,589 67,768 33,884 16,942 8,471 25,414 12,707 38,122 19,061 57,184 28,592 14,296 7,148 3,574 1,787 5,362 2,681 8,044 4,022 2,011 6,034 3,017 9,052 4,526 2,263 6,790

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