λ
Harmonic Matrix

5,492,501

7 × 19 × 61 × 677
Deficient Odd Composite

5,492,501 has digital root 8. The neighboring primes are 5492491 and 5492507; its proper-divisor sum differs from the starting integer by -4,259,242.

Prime Factor Structure

Factorization String 7 × 19 × 61 × 677
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 6,725,760
Proper Divisor Sum 1,233,259
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #5492491 ← → #5492507

Radix Representation

Decimal 5492501
Binary 10100111100111100010101 (23 bits)
Octal 0o24747425
Hexadecimal 0x53CF15

Divisor Catalog (16)

1 7 19 61 133 427 677 1,159 4,739 8,113 12,863 41,297 90,041 289,079 784,643 5,492,501

Collatz Trajectory (108 steps to reach 1)

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

5,492,501 16,477,504 8,238,752 4,119,376 2,059,688 1,029,844 514,922 257,461 772,384 386,192 193,096 96,548 48,274 24,137 72,412 36,206 18,103 54,310 27,155 81,466 40,733 122,200 61,100 30,550 15,275 45,826 22,913 68,740 34,370 17,185 51,556 25,778 12,889 38,668 19,334 9,667 29,002 14,501 43,504 21,752 10,876 5,438 2,719 8,158 4,079 12,238 6,119 18,358 9,179 27,538 13,769 41,308 20,654 10,327 30,982 15,491 46,474 23,237 69,712 34,856

More profiles

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