λ
Harmonic Matrix

3,175,704

23 × 32 × 7 × 6301
Abundant Even Composite

3,175,704 has digital root 9. The neighboring primes are 3175691 and 3175751; its proper-divisor sum differs from the starting integer by 3,479,712.

Prime Factor Structure

Factorization String 2^3 × 3^2 × 7 × 6301
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 9,831,120
Proper Divisor Sum 6,655,416
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #3175691 ← → #3175751

Radix Representation

Decimal 3175704
Binary 1100000111010100011000 (22 bits)
Octal 0o14072430
Hexadecimal 0x307518

Divisor Catalog (48)

1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 504 6,301 12,602 18,903 25,204 37,806 44,107 50,408 56,709 75,612 88,214 113,418 132,321 151,224 176,428 226,836 264,642 352,856 396,963 453,672 529,284 793,926 1,058,568 1,587,852 3,175,704

Collatz Trajectory (146 steps to reach 1)

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

3,175,704 1,587,852 793,926 396,963 1,190,890 595,445 1,786,336 893,168 446,584 223,292 111,646 55,823 167,470 83,735 251,206 125,603 376,810 188,405 565,216 282,608 141,304 70,652 35,326 17,663 52,990 26,495 79,486 39,743 119,230 59,615 178,846 89,423 268,270 134,135 402,406 201,203 603,610 301,805 905,416 452,708 226,354 113,177 339,532 169,766 84,883 254,650 127,325 381,976 190,988 95,494 47,747 143,242 71,621 214,864 107,432 53,716 26,858 13,429 40,288 20,144

More profiles

← Previous Integer #3,175,703 Browse Full Index Next Integer #3,175,705 →