λ
Harmonic Matrix

6,638,775

3 × 52 × 11 × 13 × 619
Deficient Odd Composite

6,638,775 has digital root 6. The neighboring primes are 6638773 and 6638791; its proper-divisor sum differs from the starting integer by -361,710.

Prime Factor Structure

Factorization String 3 × 5^2 × 11 × 13 × 619
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 12,915,840
Proper Divisor Sum 6,277,065
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #6638773 ← → #6638791

Radix Representation

Decimal 6638775
Binary 11001010100110010110111 (23 bits)
Octal 0o31246267
Hexadecimal 0x654CB7

Divisor Catalog (48)

1 3 5 11 13 15 25 33 39 55 65 75 143 165 195 275 325 429 619 715 825 975 1,857 2,145 3,095 3,575 6,809 8,047 9,285 10,725 15,475 20,427 24,141 34,045 40,235 46,425 88,517 102,135 120,705 170,225 201,175 265,551 442,585 510,675 603,525 1,327,755 2,212,925 6,638,775

Collatz Trajectory (346 steps to reach 1)

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

6,638,775 19,916,326 9,958,163 29,874,490 14,937,245 44,811,736 22,405,868 11,202,934 5,601,467 16,804,402 8,402,201 25,206,604 12,603,302 6,301,651 18,904,954 9,452,477 28,357,432 14,178,716 7,089,358 3,544,679 10,634,038 5,317,019 15,951,058 7,975,529 23,926,588 11,963,294 5,981,647 17,944,942 8,972,471 26,917,414 13,458,707 40,376,122 20,188,061 60,564,184 30,282,092 15,141,046 7,570,523 22,711,570 11,355,785 34,067,356 17,033,678 8,516,839 25,550,518 12,775,259 38,325,778 19,162,889 57,488,668 28,744,334 14,372,167 43,116,502 21,558,251 64,674,754 32,337,377 97,012,132 48,506,066 24,253,033 72,759,100 36,379,550 18,189,775 54,569,326

More profiles

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