λ
Harmonic Matrix

6,201,758

2 × 751 × 4129
Deficient Even Composite

6,201,758 has digital root 2. The neighboring primes are 6201739 and 6201781; its proper-divisor sum differs from the starting integer by -3,086,236.

Prime Factor Structure

Factorization String 2 × 751 × 4129
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 9,317,280
Proper Divisor Sum 3,115,522
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #6201739 ← → #6201781

Radix Representation

Decimal 6201758
Binary 10111101010000110011110 (23 bits)
Octal 0o27520636
Hexadecimal 0x5EA19E

Divisor Catalog (8)

1 2 751 1,502 4,129 8,258 3,100,879 6,201,758

Collatz Trajectory (165 steps to reach 1)

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

6,201,758 3,100,879 9,302,638 4,651,319 13,953,958 6,976,979 20,930,938 10,465,469 31,396,408 15,698,204 7,849,102 3,924,551 11,773,654 5,886,827 17,660,482 8,830,241 26,490,724 13,245,362 6,622,681 19,868,044 9,934,022 4,967,011 14,901,034 7,450,517 22,351,552 11,175,776 5,587,888 2,793,944 1,396,972 698,486 349,243 1,047,730 523,865 1,571,596 785,798 392,899 1,178,698 589,349 1,768,048 884,024 442,012 221,006 110,503 331,510 165,755 497,266 248,633 745,900 372,950 186,475 559,426 279,713 839,140 419,570 209,785 629,356 314,678 157,339 472,018 236,009

More profiles

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