λ
Harmonic Matrix

5,513,998

2 × 7 × 393857
Deficient Even Composite

5,513,998 has digital root 4. The neighboring primes are 5513987 and 5514007; its proper-divisor sum differs from the starting integer by -1,575,404.

Prime Factor Structure

Factorization String 2 × 7 × 393857
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 9,452,592
Proper Divisor Sum 3,938,594
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #5513987 ← → #5514007

Radix Representation

Decimal 5513998
Binary 10101000010001100001110 (23 bits)
Octal 0o25021416
Hexadecimal 0x54230E

Divisor Catalog (8)

1 2 7 14 393,857 787,714 2,756,999 5,513,998

Collatz Trajectory (82 steps to reach 1)

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

5,513,998 2,756,999 8,270,998 4,135,499 12,406,498 6,203,249 18,609,748 9,304,874 4,652,437 13,957,312 6,978,656 3,489,328 1,744,664 872,332 436,166 218,083 654,250 327,125 981,376 490,688 245,344 122,672 61,336 30,668 15,334 7,667 23,002 11,501 34,504 17,252 8,626 4,313 12,940 6,470 3,235 9,706 4,853 14,560 7,280 3,640 1,820 910 455 1,366 683 2,050 1,025 3,076 1,538 769 2,308 1,154 577 1,732 866 433 1,300 650 325 976

More profiles

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