6,009,017

7³ × 17519

Starting at 6,009,017, the Collatz iteration reaches 1 after 113 steps. The first transition is 18027052; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 7^3 × 17519

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 7,008,000

Proper Divisor Sum 998,983

Digit Sum / Digital Root 23 (Root: 5)

Adjacent Primes #6009011 ← → #6009037

Radix Representation

Decimal	6009017
Binary	10110111011000010111001 (23 bits)
Octal	0o26730271
Hexadecimal	0x5BB0B9

Divisor Catalog (8)

1 7 49 343 17,519 122,633 858,431 6,009,017

Collatz Trajectory (113 steps to reach 1)

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

6,009,017 18,027,052 9,013,526 4,506,763 13,520,290 6,760,145 20,280,436 10,140,218 5,070,109 15,210,328 7,605,164 3,802,582 1,901,291 5,703,874 2,851,937 8,555,812 4,277,906 2,138,953 6,416,860 3,208,430 1,604,215 4,812,646 2,406,323 7,218,970 3,609,485 10,828,456 5,414,228 2,707,114 1,353,557 4,060,672 2,030,336 1,015,168 507,584 253,792 126,896 63,448 31,724 15,862 7,931 23,794 11,897 35,692 17,846 8,923 26,770 13,385 40,156 20,078 10,039 30,118 15,059 45,178 22,589 67,768 33,884 16,942 8,471 25,414 12,707 38,122

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