λ
Harmonic Matrix

2,390,732

22 × 19 × 83 × 379
Deficient Even Composite

2,390,732 has digital root 8. The neighboring primes are 2390723 and 2390737; its proper-divisor sum differs from the starting integer by -312,664.

Prime Factor Structure

Factorization String 2^2 × 19 × 83 × 379
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 4,468,800
Proper Divisor Sum 2,078,068
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #2390723 ← → #2390737

Radix Representation

Decimal 2390732
Binary 1001000111101011001100 (22 bits)
Octal 0o11075314
Hexadecimal 0x247ACC

Divisor Catalog (24)

1 2 4 19 38 76 83 166 332 379 758 1,516 1,577 3,154 6,308 7,201 14,402 28,804 31,457 62,914 125,828 597,683 1,195,366 2,390,732

Collatz Trajectory (161 steps to reach 1)

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

2,390,732 1,195,366 597,683 1,793,050 896,525 2,689,576 1,344,788 672,394 336,197 1,008,592 504,296 252,148 126,074 63,037 189,112 94,556 47,278 23,639 70,918 35,459 106,378 53,189 159,568 79,784 39,892 19,946 9,973 29,920 14,960 7,480 3,740 1,870 935 2,806 1,403 4,210 2,105 6,316 3,158 1,579 4,738 2,369 7,108 3,554 1,777 5,332 2,666 1,333 4,000 2,000 1,000 500 250 125 376 188 94 47 142 71

More profiles

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