λ
Harmonic Matrix

4,320,391

19 × 29 × 7841
Deficient Odd Composite

4,320,391 has digital root 4. The neighboring primes are 4320383 and 4320419; its proper-divisor sum differs from the starting integer by -3,935,582.

Prime Factor Structure

Factorization String 19 × 29 × 7841
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 4,705,200
Proper Divisor Sum 384,809
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #4320383 ← → #4320419

Radix Representation

Decimal 4320391
Binary 10000011110110010000111 (23 bits)
Octal 0o20366207
Hexadecimal 0x41EC87

Divisor Catalog (8)

1 19 29 551 7,841 148,979 227,389 4,320,391

Collatz Trajectory (118 steps to reach 1)

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

4,320,391 12,961,174 6,480,587 19,441,762 9,720,881 29,162,644 14,581,322 7,290,661 21,871,984 10,935,992 5,467,996 2,733,998 1,366,999 4,100,998 2,050,499 6,151,498 3,075,749 9,227,248 4,613,624 2,306,812 1,153,406 576,703 1,730,110 865,055 2,595,166 1,297,583 3,892,750 1,946,375 5,839,126 2,919,563 8,758,690 4,379,345 13,138,036 6,569,018 3,284,509 9,853,528 4,926,764 2,463,382 1,231,691 3,695,074 1,847,537 5,542,612 2,771,306 1,385,653 4,156,960 2,078,480 1,039,240 519,620 259,810 129,905 389,716 194,858 97,429 292,288 146,144 73,072 36,536 18,268 9,134 4,567

More profiles

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