6,474,978

2 × 3⁶ × 4441

Starting at 6,474,978, the Collatz iteration reaches 1 after 64 steps. The first transition is 3237489; the starting value is even with 28 positive divisors.

Prime Factor Structure

Factorization String 2 × 3^6 × 4441

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 28

Divisor Sum (σ) 14,565,318

Proper Divisor Sum 8,090,340

Digit Sum / Digital Root 45 (Root: 9)

Adjacent Primes #6474973 ← → #6475019

Radix Representation

Decimal	6474978
Binary	11000101100110011100010 (23 bits)
Octal	0o30546342
Hexadecimal	0x62CCE2

Divisor Catalog (28)

1 2 3 6 9 18 27 54 81 162 243 486 729 1,458 4,441 8,882 13,323 26,646 39,969 79,938 119,907 239,814 359,721 719,442 1,079,163 2,158,326 3,237,489 6,474,978

Collatz Trajectory (64 steps to reach 1)

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

6,474,978 3,237,489 9,712,468 4,856,234 2,428,117 7,284,352 3,642,176 1,821,088 910,544 455,272 227,636 113,818 56,909 170,728 85,364 42,682 21,341 64,024 32,012 16,006 8,003 24,010 12,005 36,016 18,008 9,004 4,502 2,251 6,754 3,377 10,132 5,066 2,533 7,600 3,800 1,900 950 475 1,426 713 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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