2,140,509

3 × 7 × 101929

Starting at 2,140,509, the Collatz iteration reaches 1 after 122 steps. The first transition is 6421528; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 3 × 7 × 101929

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 3,261,760

Proper Divisor Sum 1,121,251

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #2140477 ← → #2140513

Radix Representation

Decimal	2140509
Binary	1000001010100101011101 (22 bits)
Octal	0o10124535
Hexadecimal	0x20A95D

Divisor Catalog (8)

1 3 7 21 101,929 305,787 713,503 2,140,509

Collatz Trajectory (122 steps to reach 1)

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

2,140,509 6,421,528 3,210,764 1,605,382 802,691 2,408,074 1,204,037 3,612,112 1,806,056 903,028 451,514 225,757 677,272 338,636 169,318 84,659 253,978 126,989 380,968 190,484 95,242 47,621 142,864 71,432 35,716 17,858 8,929 26,788 13,394 6,697 20,092 10,046 5,023 15,070 7,535 22,606 11,303 33,910 16,955 50,866 25,433 76,300 38,150 19,075 57,226 28,613 85,840 42,920 21,460 10,730 5,365 16,096 8,048 4,024 2,012 1,006 503 1,510 755 2,266

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