λ
Harmonic Matrix

6,020,796

22 × 3 × 19 × 26407
Abundant Even Composite

6,020,796 has digital root 3. The neighboring primes are 6020759 and 6020801; its proper-divisor sum differs from the starting integer by 2,746,888.

Prime Factor Structure

Factorization String 2^2 × 3 × 19 × 26407
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 14,788,480
Proper Divisor Sum 8,767,684
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #6020759 ← → #6020801

Radix Representation

Decimal 6020796
Binary 10110111101111010111100 (23 bits)
Octal 0o26757274
Hexadecimal 0x5BDEBC

Divisor Catalog (24)

1 2 3 4 6 12 19 38 57 76 114 228 26,407 52,814 79,221 105,628 158,442 316,884 501,733 1,003,466 1,505,199 2,006,932 3,010,398 6,020,796

Collatz Trajectory (139 steps to reach 1)

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

6,020,796 3,010,398 1,505,199 4,515,598 2,257,799 6,773,398 3,386,699 10,160,098 5,080,049 15,240,148 7,620,074 3,810,037 11,430,112 5,715,056 2,857,528 1,428,764 714,382 357,191 1,071,574 535,787 1,607,362 803,681 2,411,044 1,205,522 602,761 1,808,284 904,142 452,071 1,356,214 678,107 2,034,322 1,017,161 3,051,484 1,525,742 762,871 2,288,614 1,144,307 3,432,922 1,716,461 5,149,384 2,574,692 1,287,346 643,673 1,931,020 965,510 482,755 1,448,266 724,133 2,172,400 1,086,200 543,100 271,550 135,775 407,326 203,663 610,990 305,495 916,486 458,243 1,374,730

More profiles

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