4,237,506

2 × 3² × 7 × 13² × 199

4,237,506 has the prime decomposition 2 × 3^2 × 7 × 13^2 × 199. Its 5 distinct prime factors produce 72 positive divisors.

Prime Factor Structure

Factorization String 2 × 3^2 × 7 × 13^2 × 199

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 72

Divisor Sum (σ) 11,419,200

Proper Divisor Sum 7,181,694

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #4237501 ← → #4237507

Radix Representation

Decimal	4237506
Binary	10000001010100011000010 (23 bits)
Octal	0o20124302
Hexadecimal	0x40A8C2

Divisor Catalog (60 of 72)

1 2 3 6 7 9 13 14 18 21 26 39 42 63 78 91 117 126 169 182 199 234 273 338 398 507 546 597 819 1,014 1,183 1,194 1,393 1,521 1,638 1,791 2,366 2,587 2,786 3,042 3,549 3,582 4,179 5,174 7,098 7,761 8,358 10,647 12,537 15,522 18,109 21,294 23,283 25,074 33,631 36,218 46,566 54,327 67,262 100,893

Collatz Trajectory (105 steps to reach 1)

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

4,237,506 2,118,753 6,356,260 3,178,130 1,589,065 4,767,196 2,383,598 1,191,799 3,575,398 1,787,699 5,363,098 2,681,549 8,044,648 4,022,324 2,011,162 1,005,581 3,016,744 1,508,372 754,186 377,093 1,131,280 565,640 282,820 141,410 70,705 212,116 106,058 53,029 159,088 79,544 39,772 19,886 9,943 29,830 14,915 44,746 22,373 67,120 33,560 16,780 8,390 4,195 12,586 6,293 18,880 9,440 4,720 2,360 1,180 590 295 886 443 1,330 665 1,996 998 499 1,498 749

← Previous Integer #4,237,505 Browse Full Index Next Integer #4,237,507 →