λ
Harmonic Matrix

1,487,724

22 × 3 × 7 × 89 × 199
Abundant Even Composite

1,487,724 has digital root 6. The neighboring primes are 1487713 and 1487743; its proper-divisor sum differs from the starting integer by 1,056,552.

Prime Factor Structure

Factorization String 2^2 × 3 × 7 × 89 × 199
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 4,032,000
Proper Divisor Sum 2,544,276
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #1487713 ← → #1487743

Radix Representation

Decimal 1487724
Binary 101101011001101101100 (21 bits)
Octal 0o5531554
Hexadecimal 0x16B36C

Divisor Catalog (48)

1 2 3 4 6 7 12 14 21 28 42 84 89 178 199 267 356 398 534 597 623 796 1,068 1,194 1,246 1,393 1,869 2,388 2,492 2,786 3,738 4,179 5,572 7,476 8,358 16,716 17,711 35,422 53,133 70,844 106,266 123,977 212,532 247,954 371,931 495,908 743,862 1,487,724

Collatz Trajectory (119 steps to reach 1)

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

1,487,724 743,862 371,931 1,115,794 557,897 1,673,692 836,846 418,423 1,255,270 627,635 1,882,906 941,453 2,824,360 1,412,180 706,090 353,045 1,059,136 529,568 264,784 132,392 66,196 33,098 16,549 49,648 24,824 12,412 6,206 3,103 9,310 4,655 13,966 6,983 20,950 10,475 31,426 15,713 47,140 23,570 11,785 35,356 17,678 8,839 26,518 13,259 39,778 19,889 59,668 29,834 14,917 44,752 22,376 11,188 5,594 2,797 8,392 4,196 2,098 1,049 3,148 1,574

More profiles

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