λ
Harmonic Matrix

5,278,011

3 × 1759337
Deficient Odd Composite

5,278,011 has digital root 6. The neighboring primes are 5278001 and 5278033; its proper-divisor sum differs from the starting integer by -3,518,670.

Prime Factor Structure

Factorization String 3 × 1759337
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 7,037,352
Proper Divisor Sum 1,759,341
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #5278001 ← → #5278033

Radix Representation

Decimal 5278011
Binary 10100001000100100111011 (23 bits)
Octal 0o24104473
Hexadecimal 0x50893B

Divisor Catalog (4)

1 3 1,759,337 5,278,011

Collatz Trajectory (126 steps to reach 1)

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

5,278,011 15,834,034 7,917,017 23,751,052 11,875,526 5,937,763 17,813,290 8,906,645 26,719,936 13,359,968 6,679,984 3,339,992 1,669,996 834,998 417,499 1,252,498 626,249 1,878,748 939,374 469,687 1,409,062 704,531 2,113,594 1,056,797 3,170,392 1,585,196 792,598 396,299 1,188,898 594,449 1,783,348 891,674 445,837 1,337,512 668,756 334,378 167,189 501,568 250,784 125,392 62,696 31,348 15,674 7,837 23,512 11,756 5,878 2,939 8,818 4,409 13,228 6,614 3,307 9,922 4,961 14,884 7,442 3,721 11,164 5,582

More profiles

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