2,249,826

2 × 3 × 569 × 659

Starting at 2,249,826, the Collatz iteration reaches 1 after 135 steps. The first transition is 1124913; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 569 × 659

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 4,514,400

Proper Divisor Sum 2,264,574

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #2249813 ← → #2249827

Radix Representation

Decimal	2249826
Binary	1000100101010001100010 (22 bits)
Octal	0o10452142
Hexadecimal	0x225462

Divisor Catalog (16)

1 2 3 6 569 659 1,138 1,318 1,707 1,977 3,414 3,954 374,971 749,942 1,124,913 2,249,826

Collatz Trajectory (135 steps to reach 1)

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

2,249,826 1,124,913 3,374,740 1,687,370 843,685 2,531,056 1,265,528 632,764 316,382 158,191 474,574 237,287 711,862 355,931 1,067,794 533,897 1,601,692 800,846 400,423 1,201,270 600,635 1,801,906 900,953 2,702,860 1,351,430 675,715 2,027,146 1,013,573 3,040,720 1,520,360 760,180 380,090 190,045 570,136 285,068 142,534 71,267 213,802 106,901 320,704 160,352 80,176 40,088 20,044 10,022 5,011 15,034 7,517 22,552 11,276 5,638 2,819 8,458 4,229 12,688 6,344 3,172 1,586 793 2,380

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