2,009,509

2009509

Starting at 2,009,509, the Collatz iteration reaches 1 after 140 steps. The first transition is 6028528; the starting value is odd with 2 positive divisors.

Prime Factor Structure

Factorization String 2009509

Distinct Prime Factors 1

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 2

Divisor Sum (σ) 2,009,510

Proper Divisor Sum 1

Digit Sum / Digital Root 25 (Root: 7)

Adjacent Primes #2009503 ← → #2009537

Radix Representation

Decimal	2009509
Binary	111101010100110100101 (21 bits)
Octal	0o7524645
Hexadecimal	0x1EA9A5

Divisor Catalog (2)

1 2,009,509

Collatz Trajectory (140 steps to reach 1)

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

2,009,509 6,028,528 3,014,264 1,507,132 753,566 376,783 1,130,350 565,175 1,695,526 847,763 2,543,290 1,271,645 3,814,936 1,907,468 953,734 476,867 1,430,602 715,301 2,145,904 1,072,952 536,476 268,238 134,119 402,358 201,179 603,538 301,769 905,308 452,654 226,327 678,982 339,491 1,018,474 509,237 1,527,712 763,856 381,928 190,964 95,482 47,741 143,224 71,612 35,806 17,903 53,710 26,855 80,566 40,283 120,850 60,425 181,276 90,638 45,319 135,958 67,979 203,938 101,969 305,908 152,954 76,477

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