3,117,392

2⁴ × 17 × 73 × 157

3,117,392 has digital root 8. The neighboring primes are 3117299 and 3117421; its proper-divisor sum differs from the starting integer by 289,352.

Prime Factor Structure

Factorization String 2^4 × 17 × 73 × 157

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 40

Divisor Sum (σ) 6,524,136

Proper Divisor Sum 3,406,744

Digit Sum / Digital Root 26 (Root: 8)

Adjacent Primes #3117299 ← → #3117421

Radix Representation

Decimal	3117392
Binary	1011111001000101010000 (22 bits)
Octal	0o13710520
Hexadecimal	0x2F9150

Divisor Catalog (40)

1 2 4 8 16 17 34 68 73 136 146 157 272 292 314 584 628 1,168 1,241 1,256 2,482 2,512 2,669 4,964 5,338 9,928 10,676 11,461 19,856 21,352 22,922 42,704 45,844 91,688 183,376 194,837 389,674 779,348 1,558,696 3,117,392

Collatz Trajectory (71 steps to reach 1)

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

3,117,392 1,558,696 779,348 389,674 194,837 584,512 292,256 146,128 73,064 36,532 18,266 9,133 27,400 13,700 6,850 3,425 10,276 5,138 2,569 7,708 3,854 1,927 5,782 2,891 8,674 4,337 13,012 6,506 3,253 9,760 4,880 2,440 1,220 610 305 916 458 229 688 344 172 86 43 130 65 196 98 49 148 74 37 112 56 28 14 7 22 11 34 17

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