3,730,117

23 × 127 × 1277

3,730,117 factors as 23 × 127 × 1277. Its 8 positive divisors give a proper-divisor sum of 195,899, so this integer is deficient. The Collatz stopping time is 110 steps.

Prime Factor Structure

Factorization String 23 × 127 × 1277

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 3,926,016

Proper Divisor Sum 195,899

Digit Sum / Digital Root 22 (Root: 4)

Adjacent Primes #3730093 ← → #3730141

Radix Representation

Decimal	3730117
Binary	1110001110101011000101 (22 bits)
Octal	0o16165305
Hexadecimal	0x38EAC5

Divisor Catalog (8)

1 23 127 1,277 2,921 29,371 162,179 3,730,117

Collatz Trajectory (110 steps to reach 1)

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

3,730,117 11,190,352 5,595,176 2,797,588 1,398,794 699,397 2,098,192 1,049,096 524,548 262,274 131,137 393,412 196,706 98,353 295,060 147,530 73,765 221,296 110,648 55,324 27,662 13,831 41,494 20,747 62,242 31,121 93,364 46,682 23,341 70,024 35,012 17,506 8,753 26,260 13,130 6,565 19,696 9,848 4,924 2,462 1,231 3,694 1,847 5,542 2,771 8,314 4,157 12,472 6,236 3,118 1,559 4,678 2,339 7,018 3,509 10,528 5,264 2,632 1,316 658

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