6,485,508

2² × 3⁴ × 37 × 541

Starting at 6,485,508, the Collatz iteration reaches 1 after 64 steps. The first transition is 3242754; the starting value is even with 60 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3^4 × 37 × 541

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 60

Divisor Sum (σ) 17,444,812

Proper Divisor Sum 10,959,304

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #6485497 ← → #6485527

Radix Representation

Decimal	6485508
Binary	11000101111011000000100 (23 bits)
Octal	0o30573004
Hexadecimal	0x62F604

Divisor Catalog (60)

1 2 3 4 6 9 12 18 27 36 37 54 74 81 108 111 148 162 222 324 333 444 541 666 999 1,082 1,332 1,623 1,998 2,164 2,997 3,246 3,996 4,869 5,994 6,492 9,738 11,988 14,607 19,476 20,017 29,214 40,034 43,821 58,428 60,051 80,068 87,642 120,102 175,284 180,153 240,204 360,306 540,459 720,612 1,080,918 1,621,377 2,161,836 3,242,754 6,485,508

Collatz Trajectory (64 steps to reach 1)

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

6,485,508 3,242,754 1,621,377 4,864,132 2,432,066 1,216,033 3,648,100 1,824,050 912,025 2,736,076 1,368,038 684,019 2,052,058 1,026,029 3,078,088 1,539,044 769,522 384,761 1,154,284 577,142 288,571 865,714 432,857 1,298,572 649,286 324,643 973,930 486,965 1,460,896 730,448 365,224 182,612 91,306 45,653 136,960 68,480 34,240 17,120 8,560 4,280 2,140 1,070 535 1,606 803 2,410 1,205 3,616 1,808 904 452 226 113 340 170 85 256 128 64 32

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