λ
Harmonic Matrix

4,402,169

4402169
Deficient Odd Prime

4,402,169 has digital root 8. The neighboring primes are 4402159 and 4402193; its proper-divisor sum differs from the starting integer by -4,402,168.

Prime Factor Structure

Factorization String 4402169
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 4,402,170
Proper Divisor Sum 1
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #4402159 ← → #4402193

Radix Representation

Decimal 4402169
Binary 10000110010101111111001 (23 bits)
Octal 0o20625771
Hexadecimal 0x432BF9

Divisor Catalog (2)

1 4,402,169

Collatz Trajectory (167 steps to reach 1)

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

4,402,169 13,206,508 6,603,254 3,301,627 9,904,882 4,952,441 14,857,324 7,428,662 3,714,331 11,142,994 5,571,497 16,714,492 8,357,246 4,178,623 12,535,870 6,267,935 18,803,806 9,401,903 28,205,710 14,102,855 42,308,566 21,154,283 63,462,850 31,731,425 95,194,276 47,597,138 23,798,569 71,395,708 35,697,854 17,848,927 53,546,782 26,773,391 80,320,174 40,160,087 120,480,262 60,240,131 180,720,394 90,360,197 271,080,592 135,540,296 67,770,148 33,885,074 16,942,537 50,827,612 25,413,806 12,706,903 38,120,710 19,060,355 57,181,066 28,590,533 85,771,600 42,885,800 21,442,900 10,721,450 5,360,725 16,082,176 8,041,088 4,020,544 2,010,272 1,005,136

More profiles

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