6,637,576

2³ × 11² × 6857

Starting at 6,637,576, the Collatz iteration reaches 1 after 165 steps. The first transition is 3318788; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 11^2 × 6857

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 13,681,710

Proper Divisor Sum 7,044,134

Digit Sum / Digital Root 40 (Root: 4)

Adjacent Primes #6637571 ← → #6637583

Radix Representation

Decimal	6637576
Binary	11001010100100000001000 (23 bits)
Octal	0o31244010
Hexadecimal	0x654808

Divisor Catalog (24)

1 2 4 8 11 22 44 88 121 242 484 968 6,857 13,714 27,428 54,856 75,427 150,854 301,708 603,416 829,697 1,659,394 3,318,788 6,637,576

Collatz Trajectory (165 steps to reach 1)

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

6,637,576 3,318,788 1,659,394 829,697 2,489,092 1,244,546 622,273 1,866,820 933,410 466,705 1,400,116 700,058 350,029 1,050,088 525,044 262,522 131,261 393,784 196,892 98,446 49,223 147,670 73,835 221,506 110,753 332,260 166,130 83,065 249,196 124,598 62,299 186,898 93,449 280,348 140,174 70,087 210,262 105,131 315,394 157,697 473,092 236,546 118,273 354,820 177,410 88,705 266,116 133,058 66,529 199,588 99,794 49,897 149,692 74,846 37,423 112,270 56,135 168,406 84,203 252,610

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