6,137,700

2² × 3 × 5² × 41 × 499

6,137,700 factors as 2^2 × 3 × 5^2 × 41 × 499. Its 72 positive divisors give a proper-divisor sum of 12,090,300, so this integer is abundant. The Collatz stopping time is 90 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 5^2 × 41 × 499

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 72

Divisor Sum (σ) 18,228,000

Proper Divisor Sum 12,090,300

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #6137693 ← → #6137701

Radix Representation

Decimal	6137700
Binary	10111011010011101100100 (23 bits)
Octal	0o27323544
Hexadecimal	0x5DA764

Divisor Catalog (60 of 72)

1 2 3 4 5 6 10 12 15 20 25 30 41 50 60 75 82 100 123 150 164 205 246 300 410 492 499 615 820 998 1,025 1,230 1,497 1,996 2,050 2,460 2,495 2,994 3,075 4,100 4,990 5,988 6,150 7,485 9,980 12,300 12,475 14,970 20,459 24,950 29,940 37,425 40,918 49,900 61,377 74,850 81,836 102,295 122,754 149,700

Collatz Trajectory (90 steps to reach 1)

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

6,137,700 3,068,850 1,534,425 4,603,276 2,301,638 1,150,819 3,452,458 1,726,229 5,178,688 2,589,344 1,294,672 647,336 323,668 161,834 80,917 242,752 121,376 60,688 30,344 15,172 7,586 3,793 11,380 5,690 2,845 8,536 4,268 2,134 1,067 3,202 1,601 4,804 2,402 1,201 3,604 1,802 901 2,704 1,352 676 338 169 508 254 127 382 191 574 287 862 431 1,294 647 1,942 971 2,914 1,457 4,372 2,186 1,093

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