λ
Harmonic Matrix

5,377,099

7 × 13 × 37 × 1597
Deficient Odd Composite

5,377,099 has digital root 4. The neighboring primes are 5377087 and 5377103; its proper-divisor sum differs from the starting integer by -3,953,110.

Prime Factor Structure

Factorization String 7 × 13 × 37 × 1597
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 6,801,088
Proper Divisor Sum 1,423,989
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #5377087 ← → #5377103

Radix Representation

Decimal 5377099
Binary 10100100000110001001011 (23 bits)
Octal 0o24406113
Hexadecimal 0x520C4B

Divisor Catalog (16)

1 7 13 37 91 259 481 1,597 3,367 11,179 20,761 59,089 145,327 413,623 768,157 5,377,099

Collatz Trajectory (95 steps to reach 1)

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

5,377,099 16,131,298 8,065,649 24,196,948 12,098,474 6,049,237 18,147,712 9,073,856 4,536,928 2,268,464 1,134,232 567,116 283,558 141,779 425,338 212,669 638,008 319,004 159,502 79,751 239,254 119,627 358,882 179,441 538,324 269,162 134,581 403,744 201,872 100,936 50,468 25,234 12,617 37,852 18,926 9,463 28,390 14,195 42,586 21,293 63,880 31,940 15,970 7,985 23,956 11,978 5,989 17,968 8,984 4,492 2,246 1,123 3,370 1,685 5,056 2,528 1,264 632 316 158

More profiles

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