λ
Harmonic Matrix

4,625,740

22 × 5 × 7 × 19 × 37 × 47
Abundant Even Composite

4,625,740 has digital root 1. The neighboring primes are 4625729 and 4625767; its proper-divisor sum differs from the starting integer by 3,005,800.

Prime Factor Structure

Factorization String 2^2 × 5 × 7 × 19 × 37 × 47
Distinct Prime Factors 6
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 96
Divisor Sum (σ) 12,257,280
Proper Divisor Sum 7,631,540
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #4625729 ← → #4625767

Radix Representation

Decimal 4625740
Binary 10001101001010101001100 (23 bits)
Octal 0o21512514
Hexadecimal 0x46954C

Divisor Catalog (60 of 96)

1 2 4 5 7 10 14 19 20 28 35 37 38 47 70 74 76 94 95 133 140 148 185 188 190 235 259 266 329 370 380 470 518 532 658 665 703 740 893 940 1,036 1,295 1,316 1,330 1,406 1,645 1,739 1,786 2,590 2,660 2,812 3,290 3,478 3,515 3,572 4,465 4,921 5,180 6,251 6,580

Collatz Trajectory (136 steps to reach 1)

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

4,625,740 2,312,870 1,156,435 3,469,306 1,734,653 5,203,960 2,601,980 1,300,990 650,495 1,951,486 975,743 2,927,230 1,463,615 4,390,846 2,195,423 6,586,270 3,293,135 9,879,406 4,939,703 14,819,110 7,409,555 22,228,666 11,114,333 33,343,000 16,671,500 8,335,750 4,167,875 12,503,626 6,251,813 18,755,440 9,377,720 4,688,860 2,344,430 1,172,215 3,516,646 1,758,323 5,274,970 2,637,485 7,912,456 3,956,228 1,978,114 989,057 2,967,172 1,483,586 741,793 2,225,380 1,112,690 556,345 1,669,036 834,518 417,259 1,251,778 625,889 1,877,668 938,834 469,417 1,408,252 704,126 352,063 1,056,190

More profiles

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