λ
Harmonic Matrix

5,134,121

59 × 173 × 503
Deficient Odd Composite

5,134,121 has digital root 8. The neighboring primes are 5134117 and 5134147; its proper-divisor sum differs from the starting integer by -5,006,482.

Prime Factor Structure

Factorization String 59 × 173 × 503
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 5,261,760
Proper Divisor Sum 127,639
Digit Sum / Digital Root 17 (Root: 8)
Adjacent Primes #5134117 ← → #5134147

Radix Representation

Decimal 5134121
Binary 10011100101011100101001 (23 bits)
Octal 0o23453451
Hexadecimal 0x4E5729

Divisor Catalog (8)

1 59 173 503 10,207 29,677 87,019 5,134,121

Collatz Trajectory (113 steps to reach 1)

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

5,134,121 15,402,364 7,701,182 3,850,591 11,551,774 5,775,887 17,327,662 8,663,831 25,991,494 12,995,747 38,987,242 19,493,621 58,480,864 29,240,432 14,620,216 7,310,108 3,655,054 1,827,527 5,482,582 2,741,291 8,223,874 4,111,937 12,335,812 6,167,906 3,083,953 9,251,860 4,625,930 2,312,965 6,938,896 3,469,448 1,734,724 867,362 433,681 1,301,044 650,522 325,261 975,784 487,892 243,946 121,973 365,920 182,960 91,480 45,740 22,870 11,435 34,306 17,153 51,460 25,730 12,865 38,596 19,298 9,649 28,948 14,474 7,237 21,712 10,856 5,428

More profiles

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