λ
Harmonic Matrix

6,162,999

3 × 53 × 83 × 467
Deficient Odd Composite

6,162,999 has digital root 6. The neighboring primes are 6162943 and 6163007; its proper-divisor sum differs from the starting integer by -3,834,606.

Prime Factor Structure

Factorization String 3 × 53 × 83 × 467
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 8,491,392
Proper Divisor Sum 2,328,393
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #6162943 ← → #6163007

Radix Representation

Decimal 6162999
Binary 10111100000101000110111 (23 bits)
Octal 0o27405067
Hexadecimal 0x5E0A37

Divisor Catalog (16)

1 3 53 83 159 249 467 1,401 4,399 13,197 24,751 38,761 74,253 116,283 2,054,333 6,162,999

Collatz Trajectory (214 steps to reach 1)

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

6,162,999 18,488,998 9,244,499 27,733,498 13,866,749 41,600,248 20,800,124 10,400,062 5,200,031 15,600,094 7,800,047 23,400,142 11,700,071 35,100,214 17,550,107 52,650,322 26,325,161 78,975,484 39,487,742 19,743,871 59,231,614 29,615,807 88,847,422 44,423,711 133,271,134 66,635,567 199,906,702 99,953,351 299,860,054 149,930,027 449,790,082 224,895,041 674,685,124 337,342,562 168,671,281 506,013,844 253,006,922 126,503,461 379,510,384 189,755,192 94,877,596 47,438,798 23,719,399 71,158,198 35,579,099 106,737,298 53,368,649 160,105,948 80,052,974 40,026,487 120,079,462 60,039,731 180,119,194 90,059,597 270,178,792 135,089,396 67,544,698 33,772,349 101,317,048 50,658,524

More profiles

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