λ
Harmonic Matrix

4,960,891

13 × 381607
Deficient Odd Composite

4,960,891 has digital root 1. The neighboring primes are 4960883 and 4960903; its proper-divisor sum differs from the starting integer by -4,579,270.

Prime Factor Structure

Factorization String 13 × 381607
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 5,342,512
Proper Divisor Sum 381,621
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #4960883 ← → #4960903

Radix Representation

Decimal 4960891
Binary 10010111011001001111011 (23 bits)
Octal 0o22731173
Hexadecimal 0x4BB27B

Divisor Catalog (4)

1 13 381,607 4,960,891

Collatz Trajectory (144 steps to reach 1)

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

4,960,891 14,882,674 7,441,337 22,324,012 11,162,006 5,581,003 16,743,010 8,371,505 25,114,516 12,557,258 6,278,629 18,835,888 9,417,944 4,708,972 2,354,486 1,177,243 3,531,730 1,765,865 5,297,596 2,648,798 1,324,399 3,973,198 1,986,599 5,959,798 2,979,899 8,939,698 4,469,849 13,409,548 6,704,774 3,352,387 10,057,162 5,028,581 15,085,744 7,542,872 3,771,436 1,885,718 942,859 2,828,578 1,414,289 4,242,868 2,121,434 1,060,717 3,182,152 1,591,076 795,538 397,769 1,193,308 596,654 298,327 894,982 447,491 1,342,474 671,237 2,013,712 1,006,856 503,428 251,714 125,857 377,572 188,786

More profiles

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