λ
Harmonic Matrix

5,167,717

1361 × 3797
Deficient Odd Composite

5,167,717 has digital root 7. The neighboring primes are 5167703 and 5167733; its proper-divisor sum differs from the starting integer by -5,162,558.

Prime Factor Structure

Factorization String 1361 × 3797
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 5,172,876
Proper Divisor Sum 5,159
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #5167703 ← → #5167733

Radix Representation

Decimal 5167717
Binary 10011101101101001100101 (23 bits)
Octal 0o23555145
Hexadecimal 0x4EDA65

Divisor Catalog (4)

1 1,361 3,797 5,167,717

Collatz Trajectory (100 steps to reach 1)

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

5,167,717 15,503,152 7,751,576 3,875,788 1,937,894 968,947 2,906,842 1,453,421 4,360,264 2,180,132 1,090,066 545,033 1,635,100 817,550 408,775 1,226,326 613,163 1,839,490 919,745 2,759,236 1,379,618 689,809 2,069,428 1,034,714 517,357 1,552,072 776,036 388,018 194,009 582,028 291,014 145,507 436,522 218,261 654,784 327,392 163,696 81,848 40,924 20,462 10,231 30,694 15,347 46,042 23,021 69,064 34,532 17,266 8,633 25,900 12,950 6,475 19,426 9,713 29,140 14,570 7,285 21,856 10,928 5,464

More profiles

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