2,670,540

2² × 3 × 5 × 47 × 947

Starting at 2,670,540, the Collatz iteration reaches 1 after 337 steps. The first transition is 1335270; the starting value is even with 48 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3 × 5 × 47 × 947

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 7,644,672

Proper Divisor Sum 4,974,132

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #2670539 ← → #2670571

Radix Representation

Decimal	2670540
Binary	1010001011111111001100 (22 bits)
Octal	0o12137714
Hexadecimal	0x28BFCC

Divisor Catalog (48)

1 2 3 4 5 6 10 12 15 20 30 47 60 94 141 188 235 282 470 564 705 940 947 1,410 1,894 2,820 2,841 3,788 4,735 5,682 9,470 11,364 14,205 18,940 28,410 44,509 56,820 89,018 133,527 178,036 222,545 267,054 445,090 534,108 667,635 890,180 1,335,270 2,670,540

Collatz Trajectory (337 steps to reach 1)

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

2,670,540 1,335,270 667,635 2,002,906 1,001,453 3,004,360 1,502,180 751,090 375,545 1,126,636 563,318 281,659 844,978 422,489 1,267,468 633,734 316,867 950,602 475,301 1,425,904 712,952 356,476 178,238 89,119 267,358 133,679 401,038 200,519 601,558 300,779 902,338 451,169 1,353,508 676,754 338,377 1,015,132 507,566 253,783 761,350 380,675 1,142,026 571,013 1,713,040 856,520 428,260 214,130 107,065 321,196 160,598 80,299 240,898 120,449 361,348 180,674 90,337 271,012 135,506 67,753 203,260 101,630

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