λ
Harmonic Matrix

4,987,890

2 × 32 × 5 × 157 × 353
Abundant Even Composite

4,987,890 has digital root 9. The neighboring primes are 4987889 and 4987891; its proper-divisor sum differs from the starting integer by 3,112,308.

Prime Factor Structure

Factorization String 2 × 3^2 × 5 × 157 × 353
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 13,088,088
Proper Divisor Sum 8,100,198
Digit Sum / Digital Root 45 (Root: 9)
Adjacent Primes #4987889 ← → #4987891

Radix Representation

Decimal 4987890
Binary 10011000001101111110010 (23 bits)
Octal 0o23015762
Hexadecimal 0x4C1BF2

Divisor Catalog (48)

1 2 3 5 6 9 10 15 18 30 45 90 157 314 353 471 706 785 942 1,059 1,413 1,570 1,765 2,118 2,355 2,826 3,177 3,530 4,710 5,295 6,354 7,065 10,590 14,130 15,885 31,770 55,421 110,842 166,263 277,105 332,526 498,789 554,210 831,315 997,578 1,662,630 2,493,945 4,987,890

Collatz Trajectory (206 steps to reach 1)

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

4,987,890 2,493,945 7,481,836 3,740,918 1,870,459 5,611,378 2,805,689 8,417,068 4,208,534 2,104,267 6,312,802 3,156,401 9,469,204 4,734,602 2,367,301 7,101,904 3,550,952 1,775,476 887,738 443,869 1,331,608 665,804 332,902 166,451 499,354 249,677 749,032 374,516 187,258 93,629 280,888 140,444 70,222 35,111 105,334 52,667 158,002 79,001 237,004 118,502 59,251 177,754 88,877 266,632 133,316 66,658 33,329 99,988 49,994 24,997 74,992 37,496 18,748 9,374 4,687 14,062 7,031 21,094 10,547 31,642

More profiles

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