λ
Harmonic Matrix

1,808,508

22 × 3 × 13 × 11593
Abundant Even Composite

1,808,508 has digital root 3. The neighboring primes are 1808507 and 1808539; its proper-divisor sum differs from the starting integer by 927,832.

Prime Factor Structure

Factorization String 2^2 × 3 × 13 × 11593
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 4,544,848
Proper Divisor Sum 2,736,340
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #1808507 ← → #1808539

Radix Representation

Decimal 1808508
Binary 110111001100001111100 (21 bits)
Octal 0o6714174
Hexadecimal 0x1B987C

Divisor Catalog (24)

1 2 3 4 6 12 13 26 39 52 78 156 11,593 23,186 34,779 46,372 69,558 139,116 150,709 301,418 452,127 602,836 904,254 1,808,508

Collatz Trajectory (127 steps to reach 1)

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

1,808,508 904,254 452,127 1,356,382 678,191 2,034,574 1,017,287 3,051,862 1,525,931 4,577,794 2,288,897 6,866,692 3,433,346 1,716,673 5,150,020 2,575,010 1,287,505 3,862,516 1,931,258 965,629 2,896,888 1,448,444 724,222 362,111 1,086,334 543,167 1,629,502 814,751 2,444,254 1,222,127 3,666,382 1,833,191 5,499,574 2,749,787 8,249,362 4,124,681 12,374,044 6,187,022 3,093,511 9,280,534 4,640,267 13,920,802 6,960,401 20,881,204 10,440,602 5,220,301 15,660,904 7,830,452 3,915,226 1,957,613 5,872,840 2,936,420 1,468,210 734,105 2,202,316 1,101,158 550,579 1,651,738 825,869 2,477,608

More profiles

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