6,548,992

2⁹ × 12791

Starting at 6,548,992, the Collatz iteration reaches 1 after 134 steps. The first transition is 3274496; the starting value is even with 20 positive divisors.

Prime Factor Structure

Factorization String 2^9 × 12791

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 20

Divisor Sum (σ) 13,086,216

Proper Divisor Sum 6,537,224

Digit Sum / Digital Root 43 (Root: 7)

Adjacent Primes #6548989 ← → #6548999

Radix Representation

Decimal	6548992
Binary	11000111110111000000000 (23 bits)
Octal	0o30767000
Hexadecimal	0x63EE00

Divisor Catalog (20)

1 2 4 8 16 32 64 128 256 512 12,791 25,582 51,164 102,328 204,656 409,312 818,624 1,637,248 3,274,496 6,548,992

Collatz Trajectory (134 steps to reach 1)

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

6,548,992 3,274,496 1,637,248 818,624 409,312 204,656 102,328 51,164 25,582 12,791 38,374 19,187 57,562 28,781 86,344 43,172 21,586 10,793 32,380 16,190 8,095 24,286 12,143 36,430 18,215 54,646 27,323 81,970 40,985 122,956 61,478 30,739 92,218 46,109 138,328 69,164 34,582 17,291 51,874 25,937 77,812 38,906 19,453 58,360 29,180 14,590 7,295 21,886 10,943 32,830 16,415 49,246 24,623 73,870 36,935 110,806 55,403 166,210 83,105 249,316

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