λ
Harmonic Matrix

6,310,757

17 × 37 × 79 × 127
Deficient Odd Composite

6,310,757 has digital root 2. The neighboring primes are 6310741 and 6310769; its proper-divisor sum differs from the starting integer by -5,617,354.

Prime Factor Structure

Factorization String 17 × 37 × 79 × 127
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 7,004,160
Proper Divisor Sum 693,403
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #6310741 ← → #6310769

Radix Representation

Decimal 6310757
Binary 11000000100101101100101 (23 bits)
Octal 0o30045545
Hexadecimal 0x604B65

Divisor Catalog (16)

1 17 37 79 127 629 1,343 2,159 2,923 4,699 10,033 49,691 79,883 170,561 371,221 6,310,757

Collatz Trajectory (240 steps to reach 1)

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

6,310,757 18,932,272 9,466,136 4,733,068 2,366,534 1,183,267 3,549,802 1,774,901 5,324,704 2,662,352 1,331,176 665,588 332,794 166,397 499,192 249,596 124,798 62,399 187,198 93,599 280,798 140,399 421,198 210,599 631,798 315,899 947,698 473,849 1,421,548 710,774 355,387 1,066,162 533,081 1,599,244 799,622 399,811 1,199,434 599,717 1,799,152 899,576 449,788 224,894 112,447 337,342 168,671 506,014 253,007 759,022 379,511 1,138,534 569,267 1,707,802 853,901 2,561,704 1,280,852 640,426 320,213 960,640 480,320 240,160

More profiles

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