6,581,248

2¹⁰ × 6427

Starting at 6,581,248, the Collatz iteration reaches 1 after 85 steps. The first transition is 3290624; the starting value is even with 22 positive divisors.

Prime Factor Structure

Factorization String 2^10 × 6427

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 22

Divisor Sum (σ) 13,158,116

Proper Divisor Sum 6,576,868

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #6581221 ← → #6581251

Radix Representation

Decimal	6581248
Binary	11001000110110000000000 (23 bits)
Octal	0o31066000
Hexadecimal	0x646C00

Divisor Catalog (22)

1 2 4 8 16 32 64 128 256 512 1,024 6,427 12,854 25,708 51,416 102,832 205,664 411,328 822,656 1,645,312 3,290,624 6,581,248

Collatz Trajectory (85 steps to reach 1)

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

6,581,248 3,290,624 1,645,312 822,656 411,328 205,664 102,832 51,416 25,708 12,854 6,427 19,282 9,641 28,924 14,462 7,231 21,694 10,847 32,542 16,271 48,814 24,407 73,222 36,611 109,834 54,917 164,752 82,376 41,188 20,594 10,297 30,892 15,446 7,723 23,170 11,585 34,756 17,378 8,689 26,068 13,034 6,517 19,552 9,776 4,888 2,444 1,222 611 1,834 917 2,752 1,376 688 344 172 86 43 130 65 196

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