λ
Harmonic Matrix

4,243,650

2 × 3 × 52 × 19 × 1489
Abundant Even Composite

4,243,650 has digital root 6. The neighboring primes are 4243649 and 4243667; its proper-divisor sum differs from the starting integer by 2,598,300.

Prime Factor Structure

Factorization String 2 × 3 × 5^2 × 19 × 1489
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 11,085,600
Proper Divisor Sum 6,841,950
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #4243649 ← → #4243667

Radix Representation

Decimal 4243650
Binary 10000001100000011000010 (23 bits)
Octal 0o20140302
Hexadecimal 0x40C0C2

Divisor Catalog (48)

1 2 3 5 6 10 15 19 25 30 38 50 57 75 95 114 150 190 285 475 570 950 1,425 1,489 2,850 2,978 4,467 7,445 8,934 14,890 22,335 28,291 37,225 44,670 56,582 74,450 84,873 111,675 141,455 169,746 223,350 282,910 424,365 707,275 848,730 1,414,550 2,121,825 4,243,650

Collatz Trajectory (149 steps to reach 1)

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

4,243,650 2,121,825 6,365,476 3,182,738 1,591,369 4,774,108 2,387,054 1,193,527 3,580,582 1,790,291 5,370,874 2,685,437 8,056,312 4,028,156 2,014,078 1,007,039 3,021,118 1,510,559 4,531,678 2,265,839 6,797,518 3,398,759 10,196,278 5,098,139 15,294,418 7,647,209 22,941,628 11,470,814 5,735,407 17,206,222 8,603,111 25,809,334 12,904,667 38,714,002 19,357,001 58,071,004 29,035,502 14,517,751 43,553,254 21,776,627 65,329,882 32,664,941 97,994,824 48,997,412 24,498,706 12,249,353 36,748,060 18,374,030 9,187,015 27,561,046 13,780,523 41,341,570 20,670,785 62,012,356 31,006,178 15,503,089 46,509,268 23,254,634 11,627,317 34,881,952

More profiles

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