6,637,540

2² × 5 × 7² × 13 × 521

Starting at 6,637,540, the Collatz iteration reaches 1 after 165 steps. The first transition is 3318770; the starting value is even with 72 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 5 × 7^2 × 13 × 521

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 72

Divisor Sum (σ) 17,495,352

Proper Divisor Sum 10,857,812

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #6637487 ← → #6637571

Radix Representation

Decimal	6637540
Binary	11001010100011111100100 (23 bits)
Octal	0o31243744
Hexadecimal	0x6547E4

Divisor Catalog (60 of 72)

1 2 4 5 7 10 13 14 20 26 28 35 49 52 65 70 91 98 130 140 182 196 245 260 364 455 490 521 637 910 980 1,042 1,274 1,820 2,084 2,548 2,605 3,185 3,647 5,210 6,370 6,773 7,294 10,420 12,740 13,546 14,588 18,235 25,529 27,092 33,865 36,470 47,411 51,058 67,730 72,940 94,822 102,116 127,645 135,460

Collatz Trajectory (165 steps to reach 1)

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

6,637,540 3,318,770 1,659,385 4,978,156 2,489,078 1,244,539 3,733,618 1,866,809 5,600,428 2,800,214 1,400,107 4,200,322 2,100,161 6,300,484 3,150,242 1,575,121 4,725,364 2,362,682 1,181,341 3,544,024 1,772,012 886,006 443,003 1,329,010 664,505 1,993,516 996,758 498,379 1,495,138 747,569 2,242,708 1,121,354 560,677 1,682,032 841,016 420,508 210,254 105,127 315,382 157,691 473,074 236,537 709,612 354,806 177,403 532,210 266,105 798,316 399,158 199,579 598,738 299,369 898,108 449,054 224,527 673,582 336,791 1,010,374 505,187 1,515,562

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