4,189,904

2⁴ × 131 × 1999

Starting at 4,189,904, the Collatz iteration reaches 1 after 61 steps. The first transition is 2094952; the starting value is even with 20 positive divisors.

Prime Factor Structure

Factorization String 2^4 × 131 × 1999

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 20

Divisor Sum (σ) 8,184,000

Proper Divisor Sum 3,994,096

Digit Sum / Digital Root 35 (Root: 8)

Adjacent Primes #4189903 ← → #4189951

Radix Representation

Decimal	4189904
Binary	1111111110111011010000 (22 bits)
Octal	0o17767320
Hexadecimal	0x3FEED0

Divisor Catalog (20)

1 2 4 8 16 131 262 524 1,048 1,999 2,096 3,998 7,996 15,992 31,984 261,869 523,738 1,047,476 2,094,952 4,189,904

Collatz Trajectory (61 steps to reach 1)

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

4,189,904 2,094,952 1,047,476 523,738 261,869 785,608 392,804 196,402 98,201 294,604 147,302 73,651 220,954 110,477 331,432 165,716 82,858 41,429 124,288 62,144 31,072 15,536 7,768 3,884 1,942 971 2,914 1,457 4,372 2,186 1,093 3,280 1,640 820 410 205 616 308 154 77 232 116 58 29 88 44 22 11 34 17 52 26 13 40 20 10 5 16 8 4

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