λ
Harmonic Matrix

6,159,307

7 × 11 × 41 × 1951
Deficient Odd Composite

6,159,307 has digital root 4. The neighboring primes are 6159299 and 6159311; its proper-divisor sum differs from the starting integer by -4,448,150.

Prime Factor Structure

Factorization String 7 × 11 × 41 × 1951
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 7,870,464
Proper Divisor Sum 1,711,157
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #6159299 ← → #6159311

Radix Representation

Decimal 6159307
Binary 10111011111101111001011 (23 bits)
Octal 0o27375713
Hexadecimal 0x5DFBCB

Divisor Catalog (16)

1 7 11 41 77 287 451 1,951 3,157 13,657 21,461 79,991 150,227 559,937 879,901 6,159,307

Collatz Trajectory (77 steps to reach 1)

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

6,159,307 18,477,922 9,238,961 27,716,884 13,858,442 6,929,221 20,787,664 10,393,832 5,196,916 2,598,458 1,299,229 3,897,688 1,948,844 974,422 487,211 1,461,634 730,817 2,192,452 1,096,226 548,113 1,644,340 822,170 411,085 1,233,256 616,628 308,314 154,157 462,472 231,236 115,618 57,809 173,428 86,714 43,357 130,072 65,036 32,518 16,259 48,778 24,389 73,168 36,584 18,292 9,146 4,573 13,720 6,860 3,430 1,715 5,146 2,573 7,720 3,860 1,930 965 2,896 1,448 724 362 181

More profiles

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