λ
Harmonic Matrix

3,780,179

13 × 29 × 37 × 271
Deficient Odd Composite

3,780,179 has digital root 8. The neighboring primes are 3780169 and 3780181; its proper-divisor sum differs from the starting integer by -3,219,238.

Prime Factor Structure

Factorization String 13 × 29 × 37 × 271
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 4,341,120
Proper Divisor Sum 560,941
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #3780169 ← → #3780181

Radix Representation

Decimal 3780179
Binary 1110011010111001010011 (22 bits)
Octal 0o16327123
Hexadecimal 0x39AE53

Divisor Catalog (16)

1 13 29 37 271 377 481 1,073 3,523 7,859 10,027 13,949 102,167 130,351 290,783 3,780,179

Collatz Trajectory (172 steps to reach 1)

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

3,780,179 11,340,538 5,670,269 17,010,808 8,505,404 4,252,702 2,126,351 6,379,054 3,189,527 9,568,582 4,784,291 14,352,874 7,176,437 21,529,312 10,764,656 5,382,328 2,691,164 1,345,582 672,791 2,018,374 1,009,187 3,027,562 1,513,781 4,541,344 2,270,672 1,135,336 567,668 283,834 141,917 425,752 212,876 106,438 53,219 159,658 79,829 239,488 119,744 59,872 29,936 14,968 7,484 3,742 1,871 5,614 2,807 8,422 4,211 12,634 6,317 18,952 9,476 4,738 2,369 7,108 3,554 1,777 5,332 2,666 1,333 4,000

More profiles

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