λ
Harmonic Matrix

4,149,637

23 × 180419
Deficient Odd Composite

4,149,637 has digital root 7. The neighboring primes are 4149623 and 4149641; its proper-divisor sum differs from the starting integer by -3,969,194.

Prime Factor Structure

Factorization String 23 × 180419
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 4,330,080
Proper Divisor Sum 180,443
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #4149623 ← → #4149641

Radix Representation

Decimal 4149637
Binary 1111110101000110000101 (22 bits)
Octal 0o17650605
Hexadecimal 0x3F5185

Divisor Catalog (4)

1 23 180,419 4,149,637

Collatz Trajectory (79 steps to reach 1)

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

4,149,637 12,448,912 6,224,456 3,112,228 1,556,114 778,057 2,334,172 1,167,086 583,543 1,750,630 875,315 2,625,946 1,312,973 3,938,920 1,969,460 984,730 492,365 1,477,096 738,548 369,274 184,637 553,912 276,956 138,478 69,239 207,718 103,859 311,578 155,789 467,368 233,684 116,842 58,421 175,264 87,632 43,816 21,908 10,954 5,477 16,432 8,216 4,108 2,054 1,027 3,082 1,541 4,624 2,312 1,156 578 289 868 434 217 652 326 163 490 245 736

More profiles

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