λ
Harmonic Matrix

3,207,696

24 × 3 × 17 × 3931
Abundant Even Composite

3,207,696 has digital root 6. The neighboring primes are 3207691 and 3207697; its proper-divisor sum differs from the starting integer by 2,360,832.

Prime Factor Structure

Factorization String 2^4 × 3 × 17 × 3931
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 8,776,224
Proper Divisor Sum 5,568,528
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #3207691 ← → #3207697

Radix Representation

Decimal 3207696
Binary 1100001111001000010000 (22 bits)
Octal 0o14171020
Hexadecimal 0x30F210

Divisor Catalog (40)

1 2 3 4 6 8 12 16 17 24 34 48 51 68 102 136 204 272 408 816 3,931 7,862 11,793 15,724 23,586 31,448 47,172 62,896 66,827 94,344 133,654 188,688 200,481 267,308 400,962 534,616 801,924 1,069,232 1,603,848 3,207,696

Collatz Trajectory (164 steps to reach 1)

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

3,207,696 1,603,848 801,924 400,962 200,481 601,444 300,722 150,361 451,084 225,542 112,771 338,314 169,157 507,472 253,736 126,868 63,434 31,717 95,152 47,576 23,788 11,894 5,947 17,842 8,921 26,764 13,382 6,691 20,074 10,037 30,112 15,056 7,528 3,764 1,882 941 2,824 1,412 706 353 1,060 530 265 796 398 199 598 299 898 449 1,348 674 337 1,012 506 253 760 380 190 95

More profiles

← Previous Integer #3,207,695 Browse Full Index Next Integer #3,207,697 →