λ
Harmonic Matrix

3,629,461

11 × 329951
Deficient Odd Composite

3,629,461 has digital root 4. The neighboring primes are 3629459 and 3629471; its proper-divisor sum differs from the starting integer by -3,299,498.

Prime Factor Structure

Factorization String 11 × 329951
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 3,959,424
Proper Divisor Sum 329,963
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #3629459 ← → #3629471

Radix Representation

Decimal 3629461
Binary 1101110110000110010101 (22 bits)
Octal 0o15660625
Hexadecimal 0x376195

Divisor Catalog (4)

1 11 329,951 3,629,461

Collatz Trajectory (71 steps to reach 1)

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

3,629,461 10,888,384 5,444,192 2,722,096 1,361,048 680,524 340,262 170,131 510,394 255,197 765,592 382,796 191,398 95,699 287,098 143,549 430,648 215,324 107,662 53,831 161,494 80,747 242,242 121,121 363,364 181,682 90,841 272,524 136,262 68,131 204,394 102,197 306,592 153,296 76,648 38,324 19,162 9,581 28,744 14,372 7,186 3,593 10,780 5,390 2,695 8,086 4,043 12,130 6,065 18,196 9,098 4,549 13,648 6,824 3,412 1,706 853 2,560 1,280 640

More profiles

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