7,148,836

2² × 43 × 89 × 467

Starting at 7,148,836, the Collatz iteration reaches 1 after 191 steps. The first transition is 3574418; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 43 × 89 × 467

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 12,972,960

Proper Divisor Sum 5,824,124

Digit Sum / Digital Root 37 (Root: 1)

Adjacent Primes #7148821 ← → #7148839

Radix Representation

Decimal	7148836
Binary	11011010001010100100100 (23 bits)
Octal	0o33212444
Hexadecimal	0x6D1524

Divisor Catalog (24)

1 2 4 43 86 89 172 178 356 467 934 1,868 3,827 7,654 15,308 20,081 40,162 41,563 80,324 83,126 166,252 1,787,209 3,574,418 7,148,836

Collatz Trajectory (191 steps to reach 1)

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

7,148,836 3,574,418 1,787,209 5,361,628 2,680,814 1,340,407 4,021,222 2,010,611 6,031,834 3,015,917 9,047,752 4,523,876 2,261,938 1,130,969 3,392,908 1,696,454 848,227 2,544,682 1,272,341 3,817,024 1,908,512 954,256 477,128 238,564 119,282 59,641 178,924 89,462 44,731 134,194 67,097 201,292 100,646 50,323 150,970 75,485 226,456 113,228 56,614 28,307 84,922 42,461 127,384 63,692 31,846 15,923 47,770 23,885 71,656 35,828 17,914 8,957 26,872 13,436 6,718 3,359 10,078 5,039 15,118 7,559

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