4,178,948

2² × 1044737

Starting at 4,178,948, the Collatz iteration reaches 1 after 229 steps. The first transition is 2089474; the starting value is even with 6 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 1044737

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 6

Divisor Sum (σ) 7,313,166

Proper Divisor Sum 3,134,218

Digit Sum / Digital Root 41 (Root: 5)

Adjacent Primes #4178903 ← → #4178959

Radix Representation

Decimal	4178948
Binary	1111111100010000000100 (22 bits)
Octal	0o17742004
Hexadecimal	0x3FC404

Divisor Catalog (6)

1 2 4 1,044,737 2,089,474 4,178,948

Collatz Trajectory (229 steps to reach 1)

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

4,178,948 2,089,474 1,044,737 3,134,212 1,567,106 783,553 2,350,660 1,175,330 587,665 1,762,996 881,498 440,749 1,322,248 661,124 330,562 165,281 495,844 247,922 123,961 371,884 185,942 92,971 278,914 139,457 418,372 209,186 104,593 313,780 156,890 78,445 235,336 117,668 58,834 29,417 88,252 44,126 22,063 66,190 33,095 99,286 49,643 148,930 74,465 223,396 111,698 55,849 167,548 83,774 41,887 125,662 62,831 188,494 94,247 282,742 141,371 424,114 212,057 636,172 318,086 159,043

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