7,201,199

37 × 41 × 47 × 101

7,201,199 factors as 37 × 41 × 47 × 101. Its 16 positive divisors give a proper-divisor sum of 612,817, so this integer is deficient. The Collatz stopping time is 160 steps.

Prime Factor Structure

Factorization String 37 × 41 × 47 × 101

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 7,814,016

Proper Divisor Sum 612,817

Digit Sum / Digital Root 29 (Root: 2)

Adjacent Primes #7201189 ← → #7201211

Radix Representation

Decimal	7201199
Binary	11011011110000110101111 (23 bits)
Octal	0o33360657
Hexadecimal	0x6DE1AF

Divisor Catalog (16)

1 37 41 47 101 1,517 1,739 1,927 3,737 4,141 4,747 71,299 153,217 175,639 194,627 7,201,199

Collatz Trajectory (160 steps to reach 1)

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

7,201,199 21,603,598 10,801,799 32,405,398 16,202,699 48,608,098 24,304,049 72,912,148 36,456,074 18,228,037 54,684,112 27,342,056 13,671,028 6,835,514 3,417,757 10,253,272 5,126,636 2,563,318 1,281,659 3,844,978 1,922,489 5,767,468 2,883,734 1,441,867 4,325,602 2,162,801 6,488,404 3,244,202 1,622,101 4,866,304 2,433,152 1,216,576 608,288 304,144 152,072 76,036 38,018 19,009 57,028 28,514 14,257 42,772 21,386 10,693 32,080 16,040 8,020 4,010 2,005 6,016 3,008 1,504 752 376 188 94 47 142 71 214

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