λ
Harmonic Matrix

5,013,779

5013779
Deficient Odd Prime

5,013,779 has digital root 5. The neighboring primes are 5013769 and 5013787; its proper-divisor sum differs from the starting integer by -5,013,778.

Prime Factor Structure

Factorization String 5013779
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 5,013,780
Proper Divisor Sum 1
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #5013769 ← → #5013787

Radix Representation

Decimal 5013779
Binary 10011001000000100010011 (23 bits)
Octal 0o23100423
Hexadecimal 0x4C8113

Divisor Catalog (2)

Collatz Trajectory (188 steps to reach 1)

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

5,013,779 15,041,338 7,520,669 22,562,008 11,281,004 5,640,502 2,820,251 8,460,754 4,230,377 12,691,132 6,345,566 3,172,783 9,518,350 4,759,175 14,277,526 7,138,763 21,416,290 10,708,145 32,124,436 16,062,218 8,031,109 24,093,328 12,046,664 6,023,332 3,011,666 1,505,833 4,517,500 2,258,750 1,129,375 3,388,126 1,694,063 5,082,190 2,541,095 7,623,286 3,811,643 11,434,930 5,717,465 17,152,396 8,576,198 4,288,099 12,864,298 6,432,149 19,296,448 9,648,224 4,824,112 2,412,056 1,206,028 603,014 301,507 904,522 452,261 1,356,784 678,392 339,196 169,598 84,799 254,398 127,199 381,598 190,799

More profiles

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