2,040,372

2² × 3² × 19² × 157

Starting at 2,040,372, the Collatz iteration reaches 1 after 60 steps. The first transition is 1020186; the starting value is even with 54 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3^2 × 19^2 × 157

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 54

Divisor Sum (σ) 5,478,018

Proper Divisor Sum 3,437,646

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #2040361 ← → #2040377

Radix Representation

Decimal	2040372
Binary	111110010001000110100 (21 bits)
Octal	0o7621064
Hexadecimal	0x1F2234

Divisor Catalog (54)

1 2 3 4 6 9 12 18 19 36 38 57 76 114 157 171 228 314 342 361 471 628 684 722 942 1,083 1,413 1,444 1,884 2,166 2,826 2,983 3,249 4,332 5,652 5,966 6,498 8,949 11,932 12,996 17,898 26,847 35,796 53,694 56,677 107,388 113,354 170,031 226,708 340,062 510,093 680,124 1,020,186 2,040,372

Collatz Trajectory (60 steps to reach 1)

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

2,040,372 1,020,186 510,093 1,530,280 765,140 382,570 191,285 573,856 286,928 143,464 71,732 35,866 17,933 53,800 26,900 13,450 6,725 20,176 10,088 5,044 2,522 1,261 3,784 1,892 946 473 1,420 710 355 1,066 533 1,600 800 400 200 100 50 25 76 38 19 58 29 88 44 22 11 34 17 52 26 13 40 20 10 5 16 8 4 2

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