λ
Harmonic Matrix

5,792,867

5792867
Deficient Odd Prime

5,792,867 has digital root 8. The neighboring primes are 5792863 and 5792879; its proper-divisor sum differs from the starting integer by -5,792,866.

Prime Factor Structure

Factorization String 5792867
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 5,792,868
Proper Divisor Sum 1
Digit Sum / Digital Root 44 (Root: 8)
Adjacent Primes #5792863 ← → #5792879

Radix Representation

Decimal 5792867
Binary 10110000110010001100011 (23 bits)
Octal 0o26062143
Hexadecimal 0x586463

Divisor Catalog (2)

1 5,792,867

Collatz Trajectory (214 steps to reach 1)

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

5,792,867 17,378,602 8,689,301 26,067,904 13,033,952 6,516,976 3,258,488 1,629,244 814,622 407,311 1,221,934 610,967 1,832,902 916,451 2,749,354 1,374,677 4,124,032 2,062,016 1,031,008 515,504 257,752 128,876 64,438 32,219 96,658 48,329 144,988 72,494 36,247 108,742 54,371 163,114 81,557 244,672 122,336 61,168 30,584 15,292 7,646 3,823 11,470 5,735 17,206 8,603 25,810 12,905 38,716 19,358 9,679 29,038 14,519 43,558 21,779 65,338 32,669 98,008 49,004 24,502 12,251 36,754

More profiles

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