λ
Harmonic Matrix

4,996,652

22 × 1249163
Deficient Even Composite

4,996,652 has digital root 5. The neighboring primes are 4996637 and 4996679; its proper-divisor sum differs from the starting integer by -1,249,156.

Prime Factor Structure

Factorization String 2^2 × 1249163
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 6
Divisor Sum (σ) 8,744,148
Proper Divisor Sum 3,747,496
Digit Sum / Digital Root 41 (Root: 5)
Adjacent Primes #4996637 ← → #4996679

Radix Representation

Decimal 4996652
Binary 10011000011111000101100 (23 bits)
Octal 0o23037054
Hexadecimal 0x4C3E2C

Divisor Catalog (6)

1 2 4 1,249,163 2,498,326 4,996,652

Collatz Trajectory (175 steps to reach 1)

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

4,996,652 2,498,326 1,249,163 3,747,490 1,873,745 5,621,236 2,810,618 1,405,309 4,215,928 2,107,964 1,053,982 526,991 1,580,974 790,487 2,371,462 1,185,731 3,557,194 1,778,597 5,335,792 2,667,896 1,333,948 666,974 333,487 1,000,462 500,231 1,500,694 750,347 2,251,042 1,125,521 3,376,564 1,688,282 844,141 2,532,424 1,266,212 633,106 316,553 949,660 474,830 237,415 712,246 356,123 1,068,370 534,185 1,602,556 801,278 400,639 1,201,918 600,959 1,802,878 901,439 2,704,318 1,352,159 4,056,478 2,028,239 6,084,718 3,042,359 9,127,078 4,563,539 13,690,618 6,845,309

More profiles

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