λ
Harmonic Matrix

6,364,577

431 × 14767
Deficient Odd Composite

6,364,577 has digital root 2. The neighboring primes are 6364573 and 6364591; its proper-divisor sum differs from the starting integer by -6,349,378.

Prime Factor Structure

Factorization String 431 × 14767
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 6,379,776
Proper Divisor Sum 15,199
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #6364573 ← → #6364591

Radix Representation

Decimal 6364577
Binary 11000010001110110100001 (23 bits)
Octal 0o30216641
Hexadecimal 0x611DA1

Divisor Catalog (4)

1 431 14,767 6,364,577

Collatz Trajectory (103 steps to reach 1)

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

6,364,577 19,093,732 9,546,866 4,773,433 14,320,300 7,160,150 3,580,075 10,740,226 5,370,113 16,110,340 8,055,170 4,027,585 12,082,756 6,041,378 3,020,689 9,062,068 4,531,034 2,265,517 6,796,552 3,398,276 1,699,138 849,569 2,548,708 1,274,354 637,177 1,911,532 955,766 477,883 1,433,650 716,825 2,150,476 1,075,238 537,619 1,612,858 806,429 2,419,288 1,209,644 604,822 302,411 907,234 453,617 1,360,852 680,426 340,213 1,020,640 510,320 255,160 127,580 63,790 31,895 95,686 47,843 143,530 71,765 215,296 107,648 53,824 26,912 13,456 6,728

More profiles

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