3,337,142

2 × 71² × 331

3,337,142 has digital root 5. The neighboring primes are 3337133 and 3337171; its proper-divisor sum differs from the starting integer by -1,581,736.

Prime Factor Structure

Factorization String 2 × 71^2 × 331

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 5,092,548

Proper Divisor Sum 1,755,406

Digit Sum / Digital Root 23 (Root: 5)

Adjacent Primes #3337133 ← → #3337171

Radix Representation

Decimal	3337142
Binary	1100101110101110110110 (22 bits)
Octal	0o14565666
Hexadecimal	0x32EBB6

Divisor Catalog (12)

1 2 71 142 331 662 5,041 10,082 23,501 47,002 1,668,571 3,337,142

Collatz Trajectory (133 steps to reach 1)

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

3,337,142 1,668,571 5,005,714 2,502,857 7,508,572 3,754,286 1,877,143 5,631,430 2,815,715 8,447,146 4,223,573 12,670,720 6,335,360 3,167,680 1,583,840 791,920 395,960 197,980 98,990 49,495 148,486 74,243 222,730 111,365 334,096 167,048 83,524 41,762 20,881 62,644 31,322 15,661 46,984 23,492 11,746 5,873 17,620 8,810 4,405 13,216 6,608 3,304 1,652 826 413 1,240 620 310 155 466 233 700 350 175 526 263 790 395 1,186 593

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