7,367,142

2 × 3 × 101 × 12157

7,367,142 factors as 2 × 3 × 101 × 12157. Its 16 positive divisors give a proper-divisor sum of 7,514,250, so this integer is abundant. The Collatz stopping time is 142 steps.

Prime Factor Structure

Factorization String 2 × 3 × 101 × 12157

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 14,881,392

Proper Divisor Sum 7,514,250

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #7367141 ← → #7367149

Radix Representation

Decimal	7367142
Binary	11100000110100111100110 (23 bits)
Octal	0o34064746
Hexadecimal	0x7069E6

Divisor Catalog (16)

1 2 3 6 101 202 303 606 12,157 24,314 36,471 72,942 1,227,857 2,455,714 3,683,571 7,367,142

Collatz Trajectory (142 steps to reach 1)

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

7,367,142 3,683,571 11,050,714 5,525,357 16,576,072 8,288,036 4,144,018 2,072,009 6,216,028 3,108,014 1,554,007 4,662,022 2,331,011 6,993,034 3,496,517 10,489,552 5,244,776 2,622,388 1,311,194 655,597 1,966,792 983,396 491,698 245,849 737,548 368,774 184,387 553,162 276,581 829,744 414,872 207,436 103,718 51,859 155,578 77,789 233,368 116,684 58,342 29,171 87,514 43,757 131,272 65,636 32,818 16,409 49,228 24,614 12,307 36,922 18,461 55,384 27,692 13,846 6,923 20,770 10,385 31,156 15,578 7,789

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