λ
Harmonic Matrix

5,077,124

22 × 13 × 163 × 599
Deficient Even Composite

5,077,124 has digital root 8. The neighboring primes are 5077099 and 5077129; its proper-divisor sum differs from the starting integer by -511,048.

Prime Factor Structure

Factorization String 2^2 × 13 × 163 × 599
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 9,643,200
Proper Divisor Sum 4,566,076
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #5077099 ← → #5077129

Radix Representation

Decimal 5077124
Binary 10011010111100010000100 (23 bits)
Octal 0o23274204
Hexadecimal 0x4D7884

Divisor Catalog (24)

1 2 4 13 26 52 163 326 599 652 1,198 2,119 2,396 4,238 7,787 8,476 15,574 31,148 97,637 195,274 390,548 1,269,281 2,538,562 5,077,124

Collatz Trajectory (82 steps to reach 1)

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

5,077,124 2,538,562 1,269,281 3,807,844 1,903,922 951,961 2,855,884 1,427,942 713,971 2,141,914 1,070,957 3,212,872 1,606,436 803,218 401,609 1,204,828 602,414 301,207 903,622 451,811 1,355,434 677,717 2,033,152 1,016,576 508,288 254,144 127,072 63,536 31,768 15,884 7,942 3,971 11,914 5,957 17,872 8,936 4,468 2,234 1,117 3,352 1,676 838 419 1,258 629 1,888 944 472 236 118 59 178 89 268 134 67 202 101 304 152

More profiles

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