λ
Harmonic Matrix

2,462,486

2 × 13 × 53 × 1787
Deficient Even Composite

2,462,486 has digital root 5. The neighboring primes are 2462479 and 2462513; its proper-divisor sum differs from the starting integer by -869,788.

Prime Factor Structure

Factorization String 2 × 13 × 53 × 1787
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 4,055,184
Proper Divisor Sum 1,592,698
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #2462479 ← → #2462513

Radix Representation

Decimal 2462486
Binary 1001011001001100010110 (22 bits)
Octal 0o11311426
Hexadecimal 0x259316

Divisor Catalog (16)

1 2 13 26 53 106 689 1,378 1,787 3,574 23,231 46,462 94,711 189,422 1,231,243 2,462,486

Collatz Trajectory (192 steps to reach 1)

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

2,462,486 1,231,243 3,693,730 1,846,865 5,540,596 2,770,298 1,385,149 4,155,448 2,077,724 1,038,862 519,431 1,558,294 779,147 2,337,442 1,168,721 3,506,164 1,753,082 876,541 2,629,624 1,314,812 657,406 328,703 986,110 493,055 1,479,166 739,583 2,218,750 1,109,375 3,328,126 1,664,063 4,992,190 2,496,095 7,488,286 3,744,143 11,232,430 5,616,215 16,848,646 8,424,323 25,272,970 12,636,485 37,909,456 18,954,728 9,477,364 4,738,682 2,369,341 7,108,024 3,554,012 1,777,006 888,503 2,665,510 1,332,755 3,998,266 1,999,133 5,997,400 2,998,700 1,499,350 749,675 2,249,026 1,124,513 3,373,540

More profiles

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