λ
Harmonic Matrix

4,608,987

3 × 31 × 49559
Deficient Odd Composite

4,608,987 has digital root 6. The neighboring primes are 4608983 and 4609009; its proper-divisor sum differs from the starting integer by -2,874,294.

Prime Factor Structure

Factorization String 3 × 31 × 49559
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 6,343,680
Proper Divisor Sum 1,734,693
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #4608983 ← → #4609009

Radix Representation

Decimal 4608987
Binary 10001100101001111011011 (23 bits)
Octal 0o21451733
Hexadecimal 0x4653DB

Divisor Catalog (8)

1 3 31 93 49,559 148,677 1,536,329 4,608,987

Collatz Trajectory (255 steps to reach 1)

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

4,608,987 13,826,962 6,913,481 20,740,444 10,370,222 5,185,111 15,555,334 7,777,667 23,333,002 11,666,501 34,999,504 17,499,752 8,749,876 4,374,938 2,187,469 6,562,408 3,281,204 1,640,602 820,301 2,460,904 1,230,452 615,226 307,613 922,840 461,420 230,710 115,355 346,066 173,033 519,100 259,550 129,775 389,326 194,663 583,990 291,995 875,986 437,993 1,313,980 656,990 328,495 985,486 492,743 1,478,230 739,115 2,217,346 1,108,673 3,326,020 1,663,010 831,505 2,494,516 1,247,258 623,629 1,870,888 935,444 467,722 233,861 701,584 350,792 175,396

More profiles

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