λ
Harmonic Matrix

5,635,508

22 × 1093 × 1289
Deficient Even Composite

5,635,508 has digital root 5. The neighboring primes are 5635501 and 5635519; its proper-divisor sum differs from the starting integer by -1,392,196.

Prime Factor Structure

Factorization String 2^2 × 1093 × 1289
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 9,878,820
Proper Divisor Sum 4,243,312
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #5635501 ← → #5635519

Radix Representation

Decimal 5635508
Binary 10101011111110110110100 (23 bits)
Octal 0o25376664
Hexadecimal 0x55FDB4

Divisor Catalog (12)

1 2 4 1,093 1,289 2,186 2,578 4,372 5,156 1,408,877 2,817,754 5,635,508

Collatz Trajectory (157 steps to reach 1)

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

5,635,508 2,817,754 1,408,877 4,226,632 2,113,316 1,056,658 528,329 1,584,988 792,494 396,247 1,188,742 594,371 1,783,114 891,557 2,674,672 1,337,336 668,668 334,334 167,167 501,502 250,751 752,254 376,127 1,128,382 564,191 1,692,574 846,287 2,538,862 1,269,431 3,808,294 1,904,147 5,712,442 2,856,221 8,568,664 4,284,332 2,142,166 1,071,083 3,213,250 1,606,625 4,819,876 2,409,938 1,204,969 3,614,908 1,807,454 903,727 2,711,182 1,355,591 4,066,774 2,033,387 6,100,162 3,050,081 9,150,244 4,575,122 2,287,561 6,862,684 3,431,342 1,715,671 5,147,014 2,573,507 7,720,522

More profiles

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