3,712,196

2² × 73 × 12713

3,712,196 has digital root 2. The neighboring primes are 3712187 and 3712199; its proper-divisor sum differs from the starting integer by -838,540.

Prime Factor Structure

Factorization String 2^2 × 73 × 12713

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 6,585,852

Proper Divisor Sum 2,873,656

Digit Sum / Digital Root 29 (Root: 2)

Adjacent Primes #3712187 ← → #3712199

Radix Representation

Decimal	3712196
Binary	1110001010010011000100 (22 bits)
Octal	0o16122304
Hexadecimal	0x38A4C4

Divisor Catalog (12)

1 2 4 73 146 292 12,713 25,426 50,852 928,049 1,856,098 3,712,196

Collatz Trajectory (185 steps to reach 1)

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

3,712,196 1,856,098 928,049 2,784,148 1,392,074 696,037 2,088,112 1,044,056 522,028 261,014 130,507 391,522 195,761 587,284 293,642 146,821 440,464 220,232 110,116 55,058 27,529 82,588 41,294 20,647 61,942 30,971 92,914 46,457 139,372 69,686 34,843 104,530 52,265 156,796 78,398 39,199 117,598 58,799 176,398 88,199 264,598 132,299 396,898 198,449 595,348 297,674 148,837 446,512 223,256 111,628 55,814 27,907 83,722 41,861 125,584 62,792 31,396 15,698 7,849 23,548

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